fixed point theorems of rothe and altman types about convex power condensing operator and application in this paper fixed point theorems of rothe and altman types about convex power condensing operator are given and applied to the differential equation of one order with integral boundary conditions in abstract space

the fractional unit root distribution asymptotic distributions are derived for the ordinary least squares estimate of a first order autoregression model when the series is fractionally integrated the fractional unit root distribution is introduced to describe the limiting distribution the unit root distribution is shown to be an atypical member of this family because its density is nonzero over the entire real line for 1 2 copyright 1990 by the econometric society

positive solutions of nth order impulsive boundary value problems with integral boundary conditions in banach spaces abstract by using the fixed point theory for strict set contraction operator this paper investigates the existence of positive solutions for a class of n th order impulsive boundary value problems with integral boundary conditions in banach spaces moreover we offer some interesting discussion of the associated boundary value problems since the technique to deal with n th order bvp is completely different from that of previous papers the expression of the associated integral equation is simpler than that of relevant papers and upper and lower bounds for these positive solutions also are given our work is new

impulsive boundary value problems with integral boundary conditions and one dimensional p laplacian abstract by using the classical fixed point index theorem for compact maps some sufficient conditions for the existence of multiple positive solutions for a class of second order impulsive differential equations with p laplacian and integral boundary conditions are established which are the complement of previously known results meanwhile the existence of many solutions is also studied

positive solutions for a class of boundary value problems on time scales by obtaining intervals of the parameter l this paper is concerned with the existence and nonexistence of positive solution of the second order nonlinear dynamic equation on time scales p t x d t q t x t lw t f t x ax r a bx d r a 0 cx b dx d b 0 for t a b t where t is a time scale a 0 c 0 b 0 d 0 with a c 0 the arguments are based upon fixed point theorems in a cone

on existence theorems of positive solutions to nonlinear singular differential equations abstract suppose i f t u 0 1 0 0 is continuous and is increasing on u ii there exists a function g 1 0 g b b and g b b 2 is integrable on 1 such that f t bu g b f t u t u 0 1 0 consider the singular boundary value problem u t f t u t 0 0 t 1 u 0 au u 1 0 then a necessary and sufficient condition for eq to have c 0 1 positive solutions is that 0 0 1 s 1 s f s 1 d s a necessary and sufficient condition for eq to have c 1 0 1 positive solutions is that 0 0 1 f s 1 s d s also the uniqueness iterative methods and computational methods of c 1 0 1 positive solutions have been studied our nonlinearity may be singular at t 0 and or t 1

a singular boundary value problem for the one dimensionalp laplacian abstract the singular boundary value problem formula is studied in this paper whereg s s p 2s p 1 the singularity may appear atu 0 and att 0 ort 1 and the functionfmay be discontinuous the authors prove that for anyp 1 and for any positive nonincreasing functionfand nonnegative measurable functionkwith some integrability conditions the above mentioned problem has a unique solution also the properties of the solution are discussed in the paper

exact number of solutions for a class of two point boundary value problems with one dimensional p laplacian abstract in this paper exact number of solutions are obtained for the one dimensional p laplacian in a class of two point boundary value problems the interesting point is that the nonlinearity f is general form f u g u h u meanwhile some properties of the solutions are given in details the arguments are based upon a quadrature method

an efficient numerical scheme for a nonlinear integro differential equations with an integral boundary condition nonlinear functional integro differential equations with an integral boundary condition is appeared in chemical engineering underground water flow and population dynamics phenomena and other field of physics and mathematical chemistry so this paper presents a powerful numerical approach based on an iterative technique and sinc quadrature to estimate a solution for this equation then convergence of this technique is discussed by preparing a theorem which guarantees the applicability of that finally some numerical examples are given to confirm efficiency and accuracy of the numerical scheme

existence and iteration of monotone positive solutions for multipoint boundary value problem with p laplacian operator in the paper we obtain the existence of monotone positive solutions and establish acorresponding iterative scheme for the following multipoint boundary value problem with p laplacian operator f p u t q t f t u t 0 0

multiple positive solutions for some p laplacian boundary value problems this paper deals with the existence of multiple positive solutions for the one dimensional p laplacian p x t q t f t x t x t 0 t 0 1 subject to one of the following boundary conditions p x 0 p x 0 0 p x 1 p x 1 0 or x 0 g1 x 0 0 x 1 g2 x 1 0 where p s s p 2s p 1 by means of a fixed point theorem due to avery and peterson sufficient conditions are obtained that guarantee the existence of at least three positive solutions the interesting point is the nonlinear term f is involved with the first order derivative explicitly

estimating continuous time stochastic volatility models of the short term interest rate abstract we obtain consistent parameter estimates of continuous time stochastic volatility diffusions for the u s risk free short term interest rate sampled weekly over 1954 1995 using the efficient method of moments procedure of gallant and tauchen the preferred model displays mean reversion and incorporates level effects and stochastic volatility in the diffusion function extensive diagnostics indicate that the cox ingersoll ross model with an added stochastic volatility factor provides a good characterization of the short rate process further they suggest that recently proposed garch models fail to approximate the discrete time short rate dynamics while level egarch models perform reasonably well

qualitative and asymptotic performance of snp density estimators abstract the snp estimator is the most convenient nonparametric method for simultaneously estimating the parameters of a nonlinear model and the density of a latent process by maximum likelihood to determine if this convenience comes at a price we assess the qualitative behavior of snp in finite samples using the marron wand test suite and verify theoretical convergence rates by monte carlo simulation our results suggest that there is no price for convenience because the snp estimator is both qualitatively and asymptotically similar to the kernel estimator which is optimal

transformation techniques and fixed point theories to establish the positive solutions of second order impulsive differential equations abstract using a new method for dealing with the impulse term of second impulsive differential equations we are concerned with determining values of for which there exist positive solutions of the following boundary value problems in the form of x t f t x t 0 t j t t k x t k x t k c k x t k k 1 2 n a x 0 b x 0 a x 1 b x 1 0 1 h s x t d t where 0 is a positive parameter c k is a real sequence with c k 1 k 1 2 n the dependence of positive solution x t on the parameter is also studied i e lim x or lim x 0 the proof of our main result is based upon transformation techniques and fixed point theories this is probably the first time the existence of positive solutions of second order impulsive differential equations has been studied by applying this technique

a unified approach to some two point three point and four point boundary value problems with caratheodory functions this paper deals with boundary value problems formula and formula wherea b 0 0 aandbare given real numbers gis a continuous strictly increasing function withg r r andfis a caratheodory function satisfying a nagumo condition the problems have solutions if and only if there exist a lower solutionxand an upper solutionyandx t y t for alla t b

positive solutions for singular systems of three point boundary value problems this paper investigates the following singular systems of nonlinear second order three point boundary value problems u f t v email protected 0 1 v g t u email protected 0 1 u 0 v 0 0 u 1 email protected h v 1 email protected h where email protected 0 1 0 email protected 1 f and g may be singular at t 0 and or t 1 under some weaker conditions the existence of positive solutions is obtained by applying the fixed point theorem of cone expansion and compression two examples are then presented to demonstrate the application of our main results

positive solutions for a class of boundary value problem with integral boundary conditions in banach spaces this paper investigates the existence and multiplicity of positive solutions for a class of nonlinear boundary value problem of second order differential equations with integral boundary conditions in ordered banach spaces the arguments are based upon a specially constructed cone and the fixed point theory in a cone for strict set contraction operators the nonexistence of a positive solution is also studied

existence and nonexistence results of impulsive first order problem with integral boundary condition abstract this paper is concerned with a first order impulsive boundary value problem ibvp for short with integral boundary condition and depending on a parameter we obtain the existence and nonexistence results of positive solutions for the ibvp when the nonlinear term and the impulses satisfy different requirements of superlinearity and sublinearity and the parameter lies in some intervals

positive solutions for multipoint boundary value problems with a one dimensional p laplacian abstract in this paper we consider the multipoint boundary value problem for a one dimensional p laplacian p u f t u 0 t 0 1 subject to the boundary value condition u 0 i 1 n 2 i u i u 1 i 1 n 2 i u i where p s s p 2 s p 1 i 0 1 with 0 1 2 n 2 1 and i i satisfy i i 0 0 i 1 n 2 i 1 and i 1 n 2 i 1 using a fixed point theorem for operators on a cone we provide sufficient conditions for the existence of multiple positive solutions to the above boundary value problem

symmetric positive solutions of boundary value problems with integral boundary conditions under conditions weaker than those used by ma we establish various results on the existence and nonexistence of symmetric positive solutions to fourth order boundary value problems with integral boundary conditions the arguments are based upon a specially constructed cone and the fixed point theory in a cone our results improve and extend that obtained in h ma symmetric positive solutions for nonlocal boundary value problems of fourth order nonlinear anal 68 2008 645 651 we illustrate our results by one example which cannot be handled using the existing results

fixed points of generalized e concave generalized e convex operators and their applications in this paper we present the definitions of generalized e concave operators and generalized e convex operators which are the generalizations of e concave operators and e convex operators respectively without compactness or continuity assumption of generalized e concave operators and generalized e convex operators we have proved the existence uniqueness and monotone iterative techniques of their fixed points our results are even new to e concave operators and e convex operators finally we apply the results to the singular boundary value problems for second order differential equations

multilevel fast multipole accelerated inverse equivalent current method employing rao wilton glisson discretization of electric and magnetic surface currents the radiation of any object in a homogeneous environment can be described by a set of equivalent sources different types of equivalent sources are feasible and all of them have their own benefits equivalent current methods are especially advantageous for irregular measurement grids of arbitrary shape and if a priori information about the object shall be used also they can immediately provide diagnostic information about the object in this paper a very flexible equivalent current method is presented which has been derived from a general purpose boundary integral equation solver as such the method works with arbitrary triangular surface meshes and rao wilton glisson basis functions where electric and or magnetic surface current densities can be assumed high efficiency is achieved since the multilevel fast multipole method has been adapted to speed up the inverse solution process results obtained from simulations and measurements are presented where large scale problems with dimensions up to 75 wavelengths are considered

multiple positive solutions to a three point boundary value problem with p laplacian abstract sufficient conditions are obtained that guarantee the existence of at least two positive solutions for the equation g u t a t f u 0 subject to boundary conditions by a simple application of a new fixed point theorem due to avery and henderson

a necessary and sufficient condition for positive solutions for fourth order multi point boundary value problems with p laplacian abstractinthispaper weconsidertheexistenceofpositivesolutionsforaclassofsingularfourth order p laplacianequationwithmulti point boundary conditions by means of a monotone iterative technique a necessary and suf cient condition for the existence of apseudo c 3 0 1 positive solution is established also the existence and uniqueness of the pseudo c 3 0 1 positive solution theiterative sequence of the solution and an error estimation for the pseudo c 3 0 1 positive solution are obtained c 2007 elsevier ltd all rights reserved msc 34b15 34b25keywords necessary and suf cient condition p laplacian pseudo c 3 0 1 positive solutions cone 1 introductionin this paper we consider the existence of positive solutions for the singular fourth order multi point boundaryvalue problem with p laplacian p u 00 t 00 f 0 1u 0 m x 2i 1 a i u u 1 0 u 00 0 m x 2i 1 b u 00 u 00 1 0 1 1 where p t t p 2 t p 2 0 a i b i i

multiple positive solutions for first order nonlinear impulsive integro differential equations in a banach space by using the fixed point index theory the author obtains the existence of two positive solutions for a boundary value problem of first order nonlinear impulsive integro differential equations on an infinite interval with an infinite number of impulsive times in a real banach space

twin positive solutions for quasi linear multi point boundary value problems abstract in this paper we investigate two classes of quasi linear multi point boundary value problems with sign changing nonlinearity by applications of fixed point index theory sufficient conditions for the existence of twin positive solutions are established

periodic boundary value problems for a class of second order impulsive integro differential equations in banach spaces abstract this paper investigates periodic boundary value problems for a class of second order nonlinear impulsive integro differential equations of mixed type in a banach space by establishing a comparison result criteria on the existence of maximal and minimal solutions are obtained

existence of multiple positive solutions for one dimensional p laplacian abstract in this paper we consider the multipoint boundary value problem for one dimensional p laplacian p u f t u 0 t 0 1 subject to the boundary value conditions p u 0 i 1 n 2 a i p u i u 1 i 1 n 2 b i u i where p s s p 2 s p 1 i 0 1 with 0 1 2 n 2 1 and a i b i satisfy a i b i 0 0 i 1 n 2 a i 1 and i 1 n 2 b i 1 using a fixed point theorem for operators on a cone we provide sufficient conditions for the existence of multiple at least three positive solutions to the above boundary value problem

multiple nonnegative solutions for second order impulsive differential equations we study the existence of single and multiple solutions to a second order impulsive equation with fixed moments our analysis relies on combining a nonlinear alternative of leray schauder type with krasnoselskii s fixed point theorem in a cone

estimation of stochastic volatility models with diagnostics abstract efficient method of moments emm is used to fit the standard stochastic volatility model of various extensions to several daily financial time series emm matches to the score of the model determined by data analysis called the score generator discrepancies reveal characteristics of data that stochastic volatility models cannot approximate the two score generators employed here are semiparametric arch and nonlinear nonparametric with the first the standard model is rejected although some extensions are accepted with the second all versions are rejected the extensions required for an adequate fit are so elaborate that nonparametric specifications are probably more convenient

positive solutions of a nonlinear m point boundary value problem let ai 0 for i 1 m 3 and am 2 0 let i satisfy 0 1 2 m 2 1 and m 2i 1 ai i 1 we study the existence of positive solutions to the boundary value problem where a c 0 1 0 and f c 0 0 we show the existence of at least one positive solution if f is either superlinear or sublinear by applying a fixed point theorem in cones

double positive solutions for a nonlinear four point boundary value problem with a p laplacian operator in this paper we study the existence of positive solutions for a nonlinear four point boundary value problem with a p laplacian operator by using a three functionals fixed point theorem in a cone the existence of double positive solutions for the nonlinear four point boundary value problem with ap laplacian operator is obtained this is different than previous results

positive solutions for nonhomogeneous boundary value problems in banach spaces abstract by using darbo fixed point theorem the existence and nonexistence of fixed point are obtained for the following integral operator t y t 0 1 g t s f s y s ds tv using these results we investigate the existence and nonexistence of positive solutions for second order nonhomogeneous local and nonlocal boundary value problems in banach spaces