变指数二阶差分系统的非平凡周期解  

Nontrivial Periodic Solutions for Second-order Difference Systems with Variable Exponent

作　　者：张申贵[1] ZHANG Shengui(College of Mathematics and Computer Science,Northwest University for Nationalities,Lanzhou 730030,China)

机构地区：[1]西北民族大学数学与计算机科学学院,甘肃兰州730030

出　　处：《应用数学》2021年第4期847-854,共8页Mathematica Applicata

基　　金：国家自然科学基金(11401473);甘肃省自然科学基金资助(17JR5RA284);中央高校基本科研业务费专项资助(31920190057)。

摘　　要：该文研究一类变指数二阶差分系统周期解的存在性.当非线性项超线性增长时,运用临界点理论中的环绕定理获得了非平凡周期解存在的充分条件.In this paper, we study the existence for periodic solutions to a class of second-order difference systems with variable exponent. When the nonlinearity has a suplinear growth, some sufficient conditions for the existence of nontrivial periodic solutions are obtained by using the linking theorem of critical point theory.

关 键 词：周期解 离散p(k)-Laplace算子 变指数差分系统 基尔霍夫问题 临界点 

分 类 号：O175.12[理学—数学]