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

被引：0
作者：
Yuhua Long
Shaohong Wang
Jiali Chen
机构：
[1] Guangzhou University,School of Mathematics and Information Science
[2] Guangzhou University,Center for Applied Mathematics
来源：
Boundary Value Problems | / 2019卷
关键词：
Multiple solutions; Boundary value problems; Invariant sets of descending flow; Mountain pass lemma; 39A12; 39A23;
D O I：
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学科分类号：
摘要：
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.
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