[PDF] Top 20 Sign changing solutions to discrete fourth order Neumann boundary value problems

... of sign-changing solutions, positive solutions, and negative solutions for BVP ...of sign-changing solutions, positive solutions, and negative ... See full document

... In the recent years, PBVPs have been studied by many authors; see [1–13] and the ref- erences therein. In particular, we refer to the papers of J. R. Graef et al. [1] and Hao et al. [2]. In these works, the authors ... See full document

... The rest of this paper is organized as follows. In Section , we give some lemmas which help to simplify the proofs of our main results. In Section , we discuss the existence and uniqueness of ... See full document

... of sign-changing solutions, posi- tive solutions and negative solutions for second-order nonlinear difference equations with Dirichlet boundary value ... See full document

... in order to apply Krasnosel’skii’s fixed point theorem, the authors get an existence result when f (t, u) = g(t) f ¯ (u) and f ¯ (u) is sub-linear at u = 0 and u = ∞ or f ¯ (u) is super-linear at u = 0 and u = ∞ ... See full document

... value problems analytically is possible only in very rare ...point boundary value problems, in [6] Feng and Li solved a second-order Neumann boundary value ... 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

... of discrete systems is sometimes sharply different from the behavior of the corresponding continuous ...its discrete analogue Δxn axn1 − xn/k has chaotic solutions; see 3 for ...between ... 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 authors using ... See full document

... its discrete analog and it also required boundedness from below on the nonlinear- ity term, as well as a superlinear condition at ∞ ...a discrete fractional semipositone boundary value ... See full document

... study fourth-order boundary value problems by many ...lower solutions 8, and critical point theory 9, 10 are widely used to deal with the existence of solutions for the ... See full document

... multiple solutions of discrete boundary value ...multiple solutions to the boundary value problem (BVP for short) ... See full document

... Finally, it must be mentioned that there are some excellent results on the existence of the positive solutions of BVPs for ordinary differential equations when the Green’s func- tions change their signs; see Sun et ... See full document

... positive solutions of boundary value problems for difference equations have been widely ...positive solutions for discrete boundary value problems with ... 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

... with discrete boundary value conditions have been widely studied in the literature; see, for example, [1–11] and the references ...with sign-changing nonlinearities; see ...following ... See full document

... mann boundary conditions u() = u(T) = , we show the Green’s functions of the lin- ear difference operators –  u(t – ) + Lu(t) and  u(t – ) + Ku(t), where L and K are two positive constants with K <  sin  ... See full document

... elliptic problems under Neumann conditions involving the ...nontrivial solutions, which means that we get two extremal constant-sign solutions and one sign-changing ... See full document

... multi-point boundary value problems has received increas- ing ...multi-point boundary value problems of linear second-order ordinary dif- ferential equations was initiated ... See full document

... For other results on the existence and multiplicity of positive solutions and nodal solutions for boundary value problems of ordinary di ff erential equations based on bifurcation techniq[r] ... See full document