Banach空间中二阶非线性常微分方程周期边值问题  

Periodic Boundary Value Problem for Second Order Nonlinear Ordinary Differential Equation in Banach Space

作　　者：李相锋[1] 

机构地区：[1]陇东学院数学系,甘肃庆阳745000

出　　处：《应用泛函分析学报》2008年第1期92-96,共5页Acta Analysis Functionalis Applicata

基　　金：甘肃省高等学校研究生导师科研项目(0710-04);陇东学院科研基金资助项目(xyzk0608)

摘　　要：在Banach空间中利用上下解方法与增算子不动点定理,研究了含间断项的二阶非线性常微分方程周期边值问题的最大解、最小解的存在性,推广和改进了现有的结果.This paper investigates the existence of maximal and minimal solution of the periodic boundary problem in Banach spaces for nonlinear second order ordinary differential equation with discontinuous terms , by using upper and lower solution and fixed point theorem for increasing operators. Moreover, we extend and improve some recent results.

关 键 词：BANACH空间 上下解 增算子不动点定理 周期边值问题 

分 类 号：O175.8[理学—数学]