[PDF] Top 20 Multiple positive solutions for a second-order boundary value problem with integral boundary conditions

... Krasnoselskii’s fixed point theorem, the existence of positive solutions was obtained. To the best knowledge of the authors, no work has been done for boundary value prob- lem (.) by applying ... See full document

... symmetric positive solutions and establishes corresponding iterative schemes for a second-order boundary value problem with integral boundary ... See full document

... where σ ∈ R\{  } . The generalized method of quasilinearization is applied to obtain by iteration a monotone sequence converging uniformly and rapidly to a solution of (.) and (.). In [] Benchohra studied the ... See full document

... of multiple positive solutions to nonlinear third-order boundary value problems with inte- gral boundary conditions on time ... See full document

... multi-point boundary-value problem for a p-Laplacian type operator,” in Proceedings of the 5th Mississippi State Conference on Di ff erential Equations and Computational Simulations (Mississippi ... See full document

... and consider the operator N : U → C0, 1, R. From the choice of U, there is no y ∈ ∂U such that y γNy for some γ ∈ 0, 1. As a consequence of the nonlinear alternative of Leray-Schauder type 15, we deduce that N has a ... See full document

... Such second-order ordinary differential systems with the coupled integral boundary conditions were considered in [2, 3], and ...of positive solutions by using the a priori ... See full document

... Boundary value problem (BVP) for ordinary differential equations arise in different areas of applied mathematics and physics and so on, the existence and multiplicity of positive ... See full document

... The paper is organized in the following fashion. In Section , we provide some neces- sary background. In particular, we state some properties of the Green’s function associated with problem (.). In Section , ... See full document

... and second authors were supported financially by the National Natural Science Foundation of China (11071141, 11126231) and the Natural Science Foundation of Shandong Province of China (ZR2010AM017, ... See full document

... nonlocal boundary value problems, initiated by Il’in and Moi- seev [], has been addressed by many ...multi-point boundary conditions ap- pear in certain problems of thermodynamics, ... See full document

... the boundary value problem (.) into an equivalent integral equation so that we can construct a special ...corresponding problem without the impulsive terms, so that we can construct ... See full document

... By using the four functionals fixed point theorem [], we get the existence of at least one positive solution for BVP (.). In fact, our result is also new when T = R (the dif- ferential case) and T = Z (the ... See full document

... of boundary value problems were studied by many authors us- ing fixed point theorems on cones, fixed point index theory, upper and lower solutions method, differential inequality, topological ... See full document

... Boundary value problems with integral boundary conditions for ordinary differential equations represent a very interesting and important class of problems and arise in the study of ... See full document

... of multiple solutions to some boundary value problems involving integral boundary conditions has recently been studied by many authors, for instance, Boucherif in [] ... See full document

... multipoint boundary value problems of second- order differential equations with one-dimensional ...Sufficient conditions to guarantee the existence of at least three solutions may ... See full document

... Theorem 2.11 Avery and Peterson fixed point theorem 23. Let P be a cone in a real Banach space E. Let ϕ and Φ be continuous, nonnegative, and convex functionals on P , let Λ be a continuous nonnegative, and concave ... See full document

... in order to search the existence of positive ...the problem with boundary conditions replaced by nonlinear ones, Sun and Ge [7] dealt with the problem for the existence of ... See full document

... of integral boundary value problems. For integral conditions, with some so-called first eigenvalue of the re- lated linear operator, Liu et ...of multiple positive ... See full document