[PDF] Top 20 Nontrivial solutions for boundary value problems of a fourth order difference equation with sign changing nonlinearity

... Motivated by the works mentioned above, we consider the existence of nontrivial solu- tions for (1.1) involving sign-changing nonlinearities. Using the topological degree theory of a completely ... See full document

... with sign-changing weight, in spite of its simple looking structure, is considered as a hard problem in the literature due to the lack of any a priori estimate over the set of possible pe- riodic ...In ... See full document

... Recently, many literature on the boundary value of difference equations have appeared. We refer the reader to [–] and the references therein, which include work on Agarwal, Eloe, Erber, O’Regan, ... See full document

... of solutions for boundary value problems by using various topological ...with sign-changing nonlinearities. Usually, in order to obtain positive solutions of semi- ... See full document

... change sign and be singular at t = 0, t = 1, and x = ...differential equation boundary value problem are considered, and some positive solutions are obtained, ... See full document

... positive solutions of discrete boundary value problems have received much attention from many authors and a great deal of work has been done by using classical methods such as fixed point ... See full document

... cal boundary value problems ...of sign-changing solutions for the problems are obtained by Leray-Schauder continuation theorem and an- alytical ...the nonlinearity ... See full document

... diverse boundary conditions have been investigated by several authors; we re- fer the reader to [4–6] and the references ...of solutions for the periodic boundary value problem of ... See full document

... the fourth order semilinear elliptic ...of nontrivial solutions of the fourth order semilinear elliptic equation with some zero boundary ... See full document

... a fourth-order ordinary equation boundary value pro- ...positive solutions for the fourth-order boundary value problem has been studied by many ... See full document

... In this paper, we make use of the four functionals fixed point theorem to verify the existence of at least one symmetric positive solution of a second-order m-point boundary value problem on time ... See full document

... on solutions or positive solutions of boundary value problems (BVPs for short) for fractional differential equations, for example, we mention only [– ...with changing sign ... See full document

... YH: Nontrivial solutions of m-point boundary value problems for singular second-order differential equations with a sign-changing nonlinear ...Positive ... See full document

... in order to guarantee the existence of positive solutions of boundary value problems, the nonlinearity is usually nonnegative, see [6, 7, 9, 10, 16, 17, 20, 21, 24] and the ... See full document

... The theory of nonlinear difference equations has been widely used to study discrete models in many fields such as computer science, economics, neural network, ecology, cy- bernetics, etc. In recent years, a great deal of ... See full document

... In this article, some new sufficient conditions are obtained by making use of fixed point index theory in cone and constructing some available integral operators together with approximating technique. They guarantee the ... See full document

... the boundary value problems with p-Laplacian operator have also been discussed extensively in literature; for example, see 7–18 ...mutilpoint boundary value problem on time ... See full document

... In the present paper, we study the problem in the case that f may be non-uniformly asymptotically linear. These new aspects with p-Laplacian were first presented by Duc and Huy in []. But they discussed asymmetric ... See full document

... 2], boundary value problems for second- and higher-order di ff er- ential equations play a very important role in both theory and ...of solutions and positive solutions to bound- ... See full document

... By using critical point theory, Lyapunov-Schmidt reduction method, and characterization of the Brouwer degree of critical points, sufficient conditions to guarantee the existence of five or six solutions together ... See full document