依赖参数的2$n$阶差分方程边值问题多个非平凡解的存在性

Abstract

Abstract:

In this paper, we consider the existence and multiplicity of solutions for a $2n$th-order discrete boundary value problems depending on a parameter $\lambda$. When $\lambda\in\left(\frac{p(T)}{2B}, \frac{1}{2A}\right)$, we obtain a sufficient condition for the existence of solutions of a discrete boundary value problems by means of critical point theory. Finally, one example is given to illustrate our main result.

Key words: Difference equation, Boundary value problems, Critical point theory, Nontrivial solutions

CLC Number:

O175.8

Zhenguo Wang. Existence and Multiplicity of Solutions for a 2$n$th-Order Discrete Boundary Value Problems with a Parameter[J].Acta mathematica scientia,Series A, 2022, 42(3): 760-766.

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References 18

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Existence and Multiplicity of Solutions for a 2$n$th-Order Discrete Boundary Value Problems with a Parameter

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