一类奇异二阶阻尼差分方程周期边值问题正解的存在性  

Existence of positive solutions for periodic boundary conditions of singular second-order damped difference equations

作　　者：苏肖肖 SU Xiao-xiao(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)

机构地区：[1]西北师范大学数学与统计学院，甘肃 兰州 730070

出　　处：《山东大学学报（理学版）》2019年第12期38-45,共8页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11671322)

摘　　要：研究了一类奇异二阶阻尼差分方程周期边值问题■正解的存在性,其中T>2是一个整数,α、β均为常数,f(t,x,y):[1,T]_Z×(0,∞)×R→R关于(x,y)∈(0,∞)×R连续且允许f在x=0处奇异即■∈[1,T]_Z×R。主要结果的证明基于Leray-Schauder非线性抉择。This paper studies the existence of positive solutions for periodic boundary value problems of second order damped difference equations ■where T >2 is an integer, α, β are constants, f(t,x,y):[1,T]_Z×(0,∞)×R→R is continuous with respect to(x,y)∈(0,∞)×R, f may be singular at x=0, which means that ■∈[1,T]_Z×R. The proof of main results is based on nonlinear alternative of Leray-Schauder.

关 键 词：差分方程 正解 奇异性 格林函数 LERAY-SCHAUDER非线性抉择 

分 类 号：O175.8[理学—数学]