一类二阶非线性差分方程Dirichlet边值问题的多解性和变号解  

Sign-changing Solutions for A Class of Discrete Second-order Dirichlet Boundary Value Problem

作　　者：曾宝玲 ZENG Bao-ling(School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006,China)

机构地区：[1]广州大学数学与信息科学学院,广州510006

出　　处：《嘉应学院学报》2018年第2期5-12,共8页Journal of Jiaying University

摘　　要：应用下降流不变集理论和变分技巧,当参数满足适当的条件时,建立二阶非线性差分方程Dirichlet边值问题存在正解、负解和变号解的充分条件.最后通过一个例子说明定理结论的有效性.Using invariant sets of descending flow and variational methods, when the parameter belongs to appropriate intervals, we establish some sufficient conditions on the existence of sign-changing solutions, positive solutions and negative solutions for second-order nonlinear difference equations with Dirichlet boundary value problem. Finally, an example is given to illustrate our results.

关 键 词：变号解 差分方程 DIRICHLET边值问题 下降流不变集 

分 类 号：O224[理学—运筹学与控制论]