Banach空间中含间断项的二阶非线性常微分方程周期边值问题(英文)  

Periodic Boundary Value Problems for Nonlinear Second Order Ordinary Differential Equation with Discontinuous Terms in Banach Space

作　　者：李相锋[1] 徐宏武[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3期193-197,共5页Acta Analysis Functionalis Applicata

基　　金：the scientific research foundation of education department of Gansu province(0710-04)

摘　　要：在Banach空间中利用上下解方法与不连续增算子不动点定理,研究了含间断项和右端函数具有一阶导数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.而且对于有限维空间,我们获得的这些结果也都是新的.By using the method of upper and lower solutions and some fixed point theorems of discontinuous increasing operators, sufficient conditions to guarantee the existence of maximal and minimal solution of periodic boundary value problem for second order nonlinear ordinary differential equation with discontinuous terms in Banach space are obtained. Moreover, some recent results are generalized and improved, and these results obtained in this paper are also new for finite dimensional space.

关 键 词：BANACH空间 周期边值问题 上下解 增算子不动点定理 

分 类 号：O175.8[理学—数学]