烟台大学学报(自然科学与工程版)2012,Vol.25Issue(3):162-165,4.
一类泛函差分方程最大最小周期解的存在性
Existence of Maximal and Minimal Periodic Solutions for a Kind of Functional Difference Equations
摘要
Abstract
We deal with the existence of maximal and minimal periodic solutions for a kind of functional difference equation △u(t -1) = -a(t)u(t) +f(t,u(t -r(t) )) ,t e Z, by the method oflower and upper solutions, where a: Z-+ [ 0, ∞ ) , t : Z→Z are F-periodic functions and /:Zx[0,∞)→[0,∞) is T-periodic with respect to the first variable and nondecreasing to the second variable.关键词
泛函差分方程/上下解方法/最大最小周期解/存在性/不动点Key words
functional difference equations/ lower and upper solution/ maximal and minimal periodic solution/ existence/ fixed point分类
数理科学引用本文复制引用
莫宜春,路艳琼..一类泛函差分方程最大最小周期解的存在性[J].烟台大学学报(自然科学与工程版),2012,25(3):162-165,4.基金项目
国家自然科学基金资助项目(10671158) (10671158)
甘肃省自然科学基金资助项目(3ZS051-A25-016,NWNU-KJCXGC-03-17) (3ZS051-A25-016,NWNU-KJCXGC-03-17)
春辉计划(Z2004-1-62033). (Z2004-1-62033)