具有无界势能的 Kirchhoff-型差分方程多个同宿轨的存在性

Abstract

Abstract:

In this paper, we study the existence of multiple homoclinic solutions for the Kirchhoff-type difference equations with unbounded potential by using critical point theory. In our work, the nonlinearity is allowed to grow sublinearly, and some technical methods are used to verify the energy functional satisfying the Palais-Smale conditions. Finally, one example is given to illustrate our main results.

Key words: Kirchhoff-type difference equations, Palais-Smale sequence, Critical point theory, Homoclinic solutions

CLC Number:

O175.8

Wang Zhenguo, Ding Lianye. Multiple Homoclinic Solutions for the Kirchhoff-type Difference Equations with Unbounded Potential[J].Acta mathematica scientia,Series A, 2024, 44(1): 80-92.

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Multiple Homoclinic Solutions for the Kirchhoff-type Difference Equations with Unbounded Potential

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