initial value problems for the second order mixed monotone type of impulsive differential equations in banach spaces in this paper we use the coupled fixed point theorem for mixed monotone condensing operators to obtain an existence and uniqueness theorem of solutions of initial value problems for the second order mixed monotone type of impulsive differential equations and its application

global solutions of initial value problems for nonlinear second order impulsive integro differential equations of mixed type in banach spaces in this paper we develop a theorem for the existence of global solutions of an initial value problems for a class of second order impulsive integro differential equations of mixed type in a real banach space the results obtained are the generalizations and improvements of various recent results as an application of the theorem the existence of global solutions of two mixed boundary value problems for two classes of fourth order impulsive differential equations are established

fully local formulation of a transition closure model for transitional flow simulations a new computational fluid dynamics compatible transition model for the natural transition and laminar separation bubble induced transition is established using two transport equations with consideration of analysis results through linear stability theory linear stability theory one transport equation is introduced to describe the growth of the laminar kinetic energy in the boundary layer in addition another transport equation of intermittency factor is built to trigger the transition by controlling the source term of turbulent kinetic energy equation finally applying the two transport equations to a shear stress transport turbulence model completes a four equation transition turbulence model comparisons of predictions using the new model with wind tunnel experiments of the schubauer and klebanoff flat plate s809 airfoil aerospatiale a airfoil and dlr f5 wing validate the predictive qualities of the new transition turbulence model

global solutions of initial value problems for nonlinear second order integro differential equations of mixed type in banach spaces in this paper the global solutions of initial value problems for nonlinear second order integro differential equations of mixed type in banach spaces are investigated the existence and uniqueness of solutions and their iterative approximation are obtained by using monch fixed point theorem and new comparison results the results presented here essentially improve generalize and unify many well known results

natural laminar flow airfoil optimization design using a discrete adjoint approach natural laminar flow wings are one of the most promising technologies for reducing fuel burn and emissions for commercial aviation however there is a lack of tools for performing shape optimizati

existence of positive solution for second order nonlinear impulsive singular differential equations of mixed type in banach spaces abstract in this paper by constructing a closed convex set and using the fixed point theory of completely continuous operators we investigate the existence of positive solutions for an initial value problem of second order nonlinear impulsive singular integro differential equations in a banach space the method used in this paper is different from that in the literature

global solutions of nonlinear second order impulsive integro differential equations of mixed type in banach spaces abstract in this paper by using the generalization of darbo s fixed point theorem we establish the existence of global solutions of an initial value problem for a class of second order impulsive integro differential equations of mixed type in a real banach space our results generalize and improve on the results of guo et al f guo l s liu y h wu p siew global solutions of initial value problems for nonlinear second order impulsive integro differential equations of mixed type in banach spaces nonlinear anal 61 2005 1363 1382 in the sense that the conditions for existence of global solution in our theorem is simpler and less strict to demonstrate the application of the theorem we give the global solutions of two mixed boundary value problems for two classes of fourth order impulsive integro differential equations

infinite swept wing navier stokes computations with en transition prediction the flow around infinite swept wings is computed using a reynolds averaged navier stokes method coupled to a boundary layer and a transition prediction method based on the e n approach this approach applies the two n factor e n strategy which allows the differentiation between excited tollmien schlichting waves of constant frequency and stationary crossflow waves of constant spanwise wave number the applicability is documented by comparing computations with infinite swept wing experiments on four configurations where one configuration was tested in two different wind tunnels the limiting n factors for both types of waves are a priori unknown hence firstly the limiting n factors which represent the stability limit are deduced from the measured transition locations subsequently iterative computations are executed to determine the transition location using the coupled system navier stokes boundary layer and two n factor e n method in combination with the stability limit

nonlinear boundary value problem for second order impulsive integro differential equations of mixed type in banach space using the cone theory and lower and upper solutions we investigate the existence of extremal solutions of nonlinear boundary value problem for second order impulsive integro differential equations which involve the derivative x and deviating argument x b t in banach space

existence theorems of global solutions for nonlinear volterra type integral equations in banach spaces in this paper first a new fixed point theorem is established and then by the use of it the existence theorems of global solutions for nonlinear volterra type integral equations in banach spaces are investigated the results obtained in this paper generalize and improve the results corresponding to those obtained by others

initial value problems for nonlinear second order impulsive integro differential equations in banach spaces in this paper the fixed point theory is used to investigate the existence and uniqueness of solutions of initial value problems for nonlinear second order impulsive integro differential equations in banach spaces

consistent order estimation for linear stochastic feedback control systems carma model abstract a new criterion cic is introduced to estimate orders p0 q0 r0 of the linear stochastic feedback control system with correlated noise described by a carma model it is proved that the estimate is strongly consistent when the upper bounds for p0 q0 and r0 are available but neither the stability condition nor the ergodicity of the input and output are imposed on the system

navier stokes airfoil computations with e transition prediction including transitional flow regions the e ow around laminar airfoils is computed using a navier stokes method coupled to a transition prediction method based on thee n approach applying point transition at the predicted transition location produces a strong viscous inviscid interaction region that prevents the coupled system from converging whereas the introduction of transitional e ow regions resolves that problem the emphasis is not placed on the development of new transitional e ow models but primarily on producing convergence applying modie ed available models a comprehensive computational study is performed in a strong adverse and zero pressure gradient airfoil e ow region as the transitional lengths differ considerably for the different models a conventional model which is applicable in e ow regions wheretransition is predicted well upstream of laminar separation is proposed together with a special transitional length model fore owswheretheboundary layerstays laminarup to separation thee owsoverthedoal3 and the nlf 1 0416 laminar airfoils are investigated the coupled navier stokes and e n methods are shown to produce converged results furthermore the values for lift and drag are in excellent agreement with the free transition measurements

solvability of nonlinear impulsive volterra integral inclusions and functional differential inclusions abstract this paper presents sufficient conditions for the existence of solutions to nonlinear impulsive volterra integral inclusions and initial value problems for second order impulsive functional differential inclusions in banach spaces our results are obtained via a fixed point theorem due to hong j math anal appl 282 2003 151 162 for discontinuous multivalued increasing operators

positive solutions of two point boundary value problems for systems of nonlinear second order singular and impulsive differential equations abstract this paper is devoted to the study of multiple and single positive solutions of two point boundary value problems for nonlinear second order singular and impulsive differential systems by constructing a cone k 1 k 2 which is the cartesian product of two cones in the space c 0 1 and computing the fixed point index in the k 1 k 2 we establish the conditions for the existence of at least one or at least two positive solutions to two point boundary value problems for systems of nonlinear second order singular and impulsive differential equations

on the existence of solutions for nonlinear first order implicit impulsive integro differential equations abstract by using the monch fixed point theorem the purpose of this paper is to obtain the new existence theorems of solutions for a new class of initial value problems of nonlinear first order implicit impulsive integro differential equations in banach spaces under some weaker conditions

initial value problems for nonlinear second order impulsive integro differential equations of mixed type in banach spaces in this paper through solving equations step by step without any assumption of compactness type conditions we obtain unique solution of initial value problems of nonlinear second order impulsive integral differential in banach spaces the results obtained generalize and improve the corresponding results of guo and chai in papers d j guo initial value problems for nonlinear second order impulsive integro differential equations in banach spaces j math anal appl 200 1996 1 13 g q chai initial value problems for nonlinear second order impulsive integro differential equations in banach space acta math sinica 20 3 2000 351 359 in chinese

monotone method for a system of nonlinear mixed type implicit impulsive integro differential equations in banach spaces in this paper by using a monotone iterative technique in the presence of lower and upper solutions we discuss the existence of solutions for a new system of nonlinear mixed type implicit impulsive integro differential equations in banach spaces under wide monotonicity conditions and the noncompactness measure conditions we also obtain the existence of extremal solutions and a unique solution between lower and upper solutions

existence of mild solutions for abstract semilinear evolution equations in banach spaces abstract in this paper we use a new fixed point theorem to study semilinear evolution equations with the initial conditions in banach spaces the results obtained here improve and generalize many known results

the aastrom wittenmark self tuning regulator revisited and els based adaptive trackers although considerable progress has been made in stochastic adaptive control the problem concerning the convergence of the original self tuning regulator proposed by k j aastrom and b wittenmark 1973 is still open since it is attractive in theory and important in applications this problem is examined and a rigorous proof of its stability and optimality is given related problems such as convergence of the extended least squares els based adaptive tracker are also considered

a unique positive solution for nth order nonlinear impulsive singular integro differential equations on unbounded domains in banach spaces in this paper the fixed point theory combined with a monotone iterative technique is used to investigate the unique positive solution of a boundary problem for nth order nonlinear impulsive singular integro differential equations of mixed type on an infinite interval in a banach space the conditions for the existence of a unique positive solution are established in addition an explicit iterative sequence for approximating the solution of the boundary value problem is derived together with an error estimate furthermore the conditions of the theorems can be easily verified

the solutions of initial value problems for nonlinear second order integro differential equations of mixed type in banach spaces abstract in this paper the minimal and maximal solutions of initial value problems for nonlinear second order integro differential equations of mixed type in banach spaces are investigated by using new comparison results and the partial order method the results presented here essentially improve generalize and unify many well known results

impulsive retarded differential equations in banach spaces via bochner lebesgue and henstock integrals t f t xt xt0 1 1 where is a given continuous function from r 0 r 0 to a banach space x and f is a continuous map from an open set r c r 0 x to x given a continuous function x t0 r t0 a x a 0 t0 r we follow 11 to deane xt r 0 x by xt x t r 0 t t0 t0 a the initial value problem 1 1 is equivalent to the integral equation

identification and adaptive control for systems with unknown orders delay and coefficients an analysis that gives recursive estimates for time delay system orders and coefficients of single input single output linear discrete time deterministic and stochastic systems with uncorrelated noise is presented it is assumed that a lower bound for the time delay and upper bounds for system order are known the optimal adaptive control is designed for both tracking and linear quadratic regulation when the system parameters including time delay orders and coefficients are unknown the rates of convergence are derived the coefficient estimates to their true values and the loss functions to their minima

a class of second order impulsive integro differential equations on unbounded domain in a banach space in this paper by using the cone theory and monotone iterative technique we investigate the existence of extremal solutions and unique solution of the initial value problem ivp for a class of second order impulsive integro differential equations on unbounded domain in a banach space our results improve and extend many recent results

positive solutions of nonlinear singular two point boundary value problems for second order impulsive differential equations in this paper we study the positive solutions of nonlinear singular two point boundary value problems for second order impulsive differential equations the existence of one or two positive solutions are established by using the fixed point index theorem in cone

periodic boundary value problems of integro differential equation of volterra type on time scales in this paper we prove a new comparison result and develop the monotone iterative technique to show the existence of extremal solutions of the following periodic boundary value problems pbvp of nonlinear integro differential equation on time scales x 1 t f t x z t 0 k t s x s 1s t 2 0 a

initial value problems for nonlinear impulsive integro differential equations in banach space abstract in this paper by using the cone theory and the monotone iterative technique we investigate the existence of maximal and minimal solutions of the initial value problem for second order impulsive differential equations which nonlinearly involve the derivative x in banach space and give an example to illustrate our results

consistent estimation of the order of stochastic control systems a consistent estimate of the order of feedback control systems with unknown matrix coefficients estimated by the least squares method is derived by minimizing a modified version of the bayesian information criterion

a method for autoregressive moving average estimation summary the problem considered is that of estimating an autoregressive moving average system including estimating the degrees of the autoregressive and moving average lag operators the basic method is that introduced by hannan rissanen 1982 however that method may sometimes overestimate the degrees and modifications are here introduced to correct this the problem is itself due to the use of a long autoregression of order clog t when t is large in the first stage of the process the effect of this is investigated and in particular its effect on the speed of convergence of the estimates

boundary value problems for impulsive integro differential equations on unbounded domains in a banach space in this paper the fixed point theory is used to investigate the existence and uniqueness of solutions of two point boundary value problems bvps for second order non linear impulsive integro differential equations on infinite intervals in a banach space

iterative method for solutions and coupled quasi solutions of nonlinear integro differential equations of mixed type in banach spaces we consider in this paper the existence of solutions coupled minimal and maximal quasi solutions and iterative approximation of the unique solution for the following initial value problems ivp of the nonlinear integro di erential equations of mixed type in ordered banach spaces e u f t u u tu su t i u t0 x0 1 where i t0 t0 a a 0 x0 e f c i e e e e e and

optimal adaptive control and consistent parameter estimates for armax model withquadratic cost we consider the multidimensional armax model a z y n b z u n c z w n with loss function j u mathop overline lim limits n to infty frac 1 n sum limits i 1 n left y i tau q 1 y i u i tau q 2 u i right where the coefficients in the matrix polynomials a z b z and c z are unknown conditions used here are 1 stability of a z and full rank of a p 2 strictly positive realness of c z frac 1 2 i and 3 controllability and observability of a matrix triple consisting of coefficients in a z b z and q 1 on the basis of the estimates given by the stochastic gradient algorithm for unknown parameters an adaptive control law is recursively defined it is proved that the parameter estimates are strongly consistent and the quadratic loss function reaches its minimum this paper also includes some general theorems on parameter estimation on which the results about adaptive control are essentially based

convergence rate of least squares identification and adaptive control for stochastic systems the strong consistency and the convergence rate of least squares identification for the multidimensional armax model are established under some decaying excitation conditions which are satisfied if both input and output do not grow too fast and the attenuating excitation technique is applied the parameter identification results are applied to adaptive control systems with a quadratic loss function the rate of convergence of the loss function to its minimum is also obtained

a class of second order impulsive integro differential equations on unbounded domain in a banach space by establishing a comparison result the author obtains the existence of maximal and minimal solutions of the initial value problem ivp for a class of second order impulsive integro differential equations in a banach space

on well posedness of an initial value problem for nonlinear second order impulsive integro differential equations of volterra type in banach spaces in this paper we develop an existence and uniqueness theorem of the solution to an initial value problems for a class of second order impulsive integro differential equations of volterra type in a real banach space by using the generalized banach fixed point theorem an explicit iterative scheme for the solution and an error estimate of the approximation sequence for the initial value problem are also derived two examples are presented to demonstrate the application of our results

second order nonlinear impulsive integro differential equations of mixed type with time varying generating operators and optimal controls on banach spaces in this paper a class of second order nonlinear impulsive integro differential equations of mixed type whose principle is time varying generating operators with unbounded perturbation on banach spaces is considered discussing the perturbation of time varying operator matrix and constructing corresponding the evolution system generated by operator matrix we introduce the reasonable mild solution of second order nonlinear impulsive integro differential equations of mixed type and prove the existence of mild solutions the existence of optimal controls for a lagrange problem of systems governed by the second order nonlinear impulsive integro equations of mixed type is also presented an example is given for demonstration

computational fluid dynamics compatible transition modeling using an amplification factor transport equation a new laminar turbulent transition model for low turbulence external aerodynamic applications is presented that incorporates linear stability theory in a manner compatible with modern computational fluid dynamics solvers the model uses a new transport equation that describes the growth of the maximum tollmien schlichting instability amplitude in the presence of a boundary layer to avoid the need for integration paths and nonlocal operations a locally defined nondimensional pressure gradient parameter is used that serves as an estimator of the integral boundary layer properties the model has been implemented into the overflow 2 2f solver comparisons of predictions using the new model with high quality wind tunnel measurements of airfoil section characteristics confirm the predictive qualities of the model as well as its improvement over the current state of the art in computational fluid dynamics transition modeling at approximately half the computational expense

a unique solution of initial value problems for first order impulsive integro differential equations of mixed type in banach spaces in this paper we investigate initial value problem for first order impulsive integro differential equation of mixed type in a banach space without any compactness type assumption we obtain a unique solution of the equation an explicit iterative approximation of the solution and an error estimate of the approximation sequence our result improves and extends many recent results

brief on line order estimation and parameter identification for linear stochastic feedback control systems carma model this paper presents a new recursive estimate method for orders and coefficients of linear stochastic feedback control systems carma model under the assumption that the upper bounds of system orders are known the strong consistency of the estimates for orders and coefficients is proved and the convergence rate of coefficient estimates to their true values is also obtained the estimate algorithm is applied to adaptive tracking of the systems with unknown orders and unknown coefficients the resulting closed loop systems are then globally stable and the tracking sample mean square error is minimized as well simultaneously the estimates of the adaptive tracking for orders and coefficients are also strongly consistent the simulation results given here show that the new developed algorithms of both system identification and adaptive tracking are effective

monotone iterative technique for addressing impulsive integro differential equations in banach spaces abstract in this paper we use a monotone iterative technique in the presence of lower and upper solutions to discuss the existence of solutions for the initial value problem of the impulsive integro differential equation of volterra type in a banach space e u t f t u t t u t t j t t k u t t k i k u t k k 1 2 m u 0 x 0 where f c j e e e j 0 a 0 t 1 t 2 t m a and i k c e e k 1 2 m under wide monotone conditions and the noncompactness measure condition of nonlinearity f we obtain the existence of extremal solutions and a unique solution between lower and upper solutions our result improves and extends some relevant results in abstract differential equations

recursive estimation of mixed autoregressive moving average order summary the order p q of an autoregressive moving average sequence y t may be estimated by minimizing a criterion log 2 p q log t t with respect to p and q where 2 is the maximum likelihood estimate of the variance of the innovations t it is suggested that instead a2 be estimated from a series of regressions of y t on y t 1 y t 2 y t p 5 t 1 t q where the t are obtained by fitting a long autoregression to the data it is shown how the sequence of regressions may for p q be economically recursively calculated by embedding them in a sequence of bivariate autoregressions asymptotic properties of the procedure are established under very general conditions

viscous inviscid analysis of transonic and low reynolds number airfoils a method of accurately calculating transonic and low reynolds number airfoil flows implemented in the viscous inviscid design analysis code ises is presented the euler equations are discretized on a conservative streamline grid and are strongly coupled to a two equation integral boundary layer formulation using the displacement thickness concept a transition prediction formulation of the e type is derived and incorporated into the viscous formulation the entire discrete equation set including the viscous and transition formulations is solved as a fully coupled nonlinear system by a global newton method this is a rapid and reliable method for dealing with strong viscous inviscid interactions which invariably occur in transonic and low reynolds number airfoil flows the results presented demonstrate the ability of the ises code to predict transitioning separation bubbles and their associated losses the rapid airfoil performance degradation with decreasing reynolds number is thus accurately predicted also presented is a transonic airfoil calculation involving shock induced separation showing the robustness of the global newton solution procedure good agreement with experiment is obtained further demonstrating the performance of the present integral boundary layer formulation

boundary value problems for systems of nonlinear integro differential equations with deviating arguments by establishing a comparison result and using the method of upper and lower solutions and the monotone iterative technique we investigate the systems of nonlinear mixed integro differential equations with deviating arguments and mixed boundary value conditions sufficient conditions are established for the existence of extremal system of solutions of the given problem

method of upper and lower solutions for second order impulsive integro differential equations in a banach space abstract this paper discusses the initial value problem for second order nonlinear impulsive integro differential equations of volterra type in a banach space by means of upper and lower solutions by establishing a comparison result criteria on the existence of maximal and minimal solutions are obtained

existence theorems of global solutions of initial value problems for nonlinear integrodifferential equations of mixed type in banach spaces and applications abstract this paper investigates the existence of global solutions for initial value problems of the nonlinear integrodifferential equations in banach spaces we obtain the existence of global solutions by schauder s fixed point theorem our results are the generalizations and improvements of recent results as applications of our results the existence of global solutions of two classes of third order mixed boundary value problem is obtained and an example of infinite system for nonlinear integrodifferential equations is worked out to illustrate our main results