Multiple solutions of fourth-order difference equations with different boundary conditions

Author:

Long Yuhua,Wang Shaohong,Chen Jiali

Abstract

Abstract In the present paper, a class of fourth-order nonlinear difference equations with Dirichlet boundary conditions or periodic boundary conditions are considered. Based on the invariant sets of descending flow in combination with the mountain pass lemma, we establish a series of sufficient conditions on the existence of multiple solutions for these boundary value problems. In addition, some examples are provided to demonstrate the applicability of our results.

Funder

Program for Changjiang Scholars and Innovative Research Team in University

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

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