应用数学2018,Vol.31Issue(3):522-532,11.
二阶非线性差分方程边值问题的多解性与变号解
Multiple and Sign-Changing Solutions for Boundary Value Problems of Second-Order Nonlinear Difference Equations
摘要
Abstract
In this paper,by using the method of invariant sets of descending flow and variational method,we establish sufficient conditions to obtain the existence of positive solutions,negative solutions and sign-changing solutions of a class of second-order nonlinear difference equation with Robin boundary condition.In addition,we use the relevant example to verify the feasibility of the theorem.关键词
差分方程/多解性/变号解/下降流不变集Key words
Difference equation/Multiple solution/Sing-changing solution/Invariant sets of de-scending flow分类
数理科学引用本文复制引用
龙玉华,范瑶颖..二阶非线性差分方程边值问题的多解性与变号解[J].应用数学,2018,31(3):522-532,11.基金项目
广州市属高校科研项目(2012A019),长江学者创新团队发展计划(IRT16R16) (2012A019)