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

solving the resource constrained project scheduling problem using filter and fan approach the resource constrained project scheduling problem is a notoriously difficult problem in combinatorial optimization for which extensive investigation has been devoted to the development of efficient algorithms to find optimal or near optimal solutions this paper proposes a new heuristic algorithm for this problem based on filter and fan method incorporated with a local search exploring in the defined neighborhood space in the algorithm the local search is used to generate a starting solution as well as to re optimize the best schedules produced by the filter and fan method the filter and fan is itself a local search procedure that generates compound moves in a tree search fashion computational results applied on a standard set of 2040 benchmark problems from the literature demonstrate the effectiveness of the approach

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

blow up of h1 solution for the nonlinear schrodinger equation we consider the blow up of the solution in h1 for the following nonlinear schrodinger equation i tu u u p 1u x rn t 0 u 0 x u0 x x rn t 0 where n 2 and 1 4 n p min n 2 n 2 5 we prove that if the initial data u0 in h1 are radially symmetric and have negative energy then the solution of in h1 blows up in finite time we do not assume that xu0 l2 and therefore our result is the generalization of the results of glassey 4 and m tsutsumi 18 for the radially symmetric case

nonlinear schrodinger equations and sharp interpolation estimates a sharp sufficient condition for global existence is obtained for the nonlinear schrodinger equation begin array 20 c nls 2i phi t delta phi left phi right 2 sigma phi 0 x in mathbb r n t in mathbb r end array in the case 2 n this condition is in terms of an exact stationary solution nonlinear ground state of nls it is derived by solving a variational problem to obtain the best constant for classical interpolation estimates of nirenberg and gagliardo

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

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

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

initial value problem for first order integro differential equation of volterra type on time scales abstract in this paper we combine the monotone iterative technique with fixed point theory to investigate the extremal solutions of nonlinear integro differential equations on time scales several important lemmas and existence criteria are obtained

necessary conditions and sufficient conditions for global existence for two components nonlinear schrodinger equations in the super critical case abstract in this paper we consider two components nonlinear schrodinger equations in the super critical case we establish a necessary condition and a sufficient condition of global existence of the solution for two components nonlinear schrodinger equations these conditions are charge criterion of global existence in the super critical case thereby extending the results in the critical case furthermore we improve a blow up condition

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

extremal solutions of nonlinear impulsive integrodifferential equations in banach spaces abstract in this paper we combine the monotone iterative technique with fixed point theory to investigate the extremal solutions of nonlinear impulsive integrodifferential equations in banach spaces existence criteria are obtained and several examples are worked out

positive solutions for three point boundary value problems for second order impulsive differential equations on infinite intervals this paper discusses the existence of positive solutions for three point boundary value problems for second order nonlinear impulsive differential equations on an infinite interval by using the diagonalization process fixed point theory and inequality techniques sufficient conditions for guaranteeing the existence of positive solutions are obtained

sharp condition of global existence for second order derivative nonlinear schrodinger equations in two space dimensions this paper discusses a class of second order derivative nonlinear schrodinger equations which are used to describe the upper hybrid oscillation propagation by establishing a variational problem applying the potential well argument and the concavity method we prove that there exists a sharp condition for global existence and blow up of the solutions to the nonlinear schrodinger equation in addition we also answer the question how small are the initial data the global solutions exist

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

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

boundary value problem for first order impulsive functional integro differential equations this paper investigates extremal solutions of the boundary value problem for impulsive functional integro differential equations with nonlinear boundary conditions and deviating arguments in the presence of a lower solution u and an upper solution v with u v existence of extremal solutions is proved by establishing a new comparison principle and using the monotone iterative technique

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

solutions of two point bvps at resonance for higher order impulsive differential equations in this paper the resonance two point boundary value problems for impulsive 2n order differential equation x 2n t f t x t x t x 2n 1 t 0 t 1 x i sk ii k x sk x 2n 1 sk i 1 2n 1 k 1 p with following two point boundary value conditions x 2i 1 0 x 2i 1 1 i 0 n 1 and for n order differential equation x n t f t x t x t x n 1 t 0 t 1 x i sk ii k x sk x 2n 1 sk i 1 n 1 k 1 p with following periodic boundary value conditions x i 0 x i 1 0 i 0 n 1 are considered sufficient conditions which guarantee the existence of at least one solution for these problems are established the interest is that we allow the degree of variables of f to be greater than 1 the methods used and results obtained are new and they shows us that the solvability of these two problems are very much alike

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