二阶非线性脉冲微分方程边界值问题  

Boundary Value Problems for Nonlinear Second Order Difference Equations With Impulse

作　　者：H·伯利科托路 A·胡舍诺夫 黄锋(译) 张禄坤(校) 

机构地区：[1]安卡拉大学数学系,坦多甘06100,安卡拉土耳其 [2]不详

出　　处：《应用数学和力学》2009年第8期979-989,共11页Applied Mathematics and Mechanics

基　　金：NATOPC-A1土耳其科学技术委员会(TUBITAK)资助项目

摘　　要：研究二阶非线性脉冲微分方程边界值问题(BVPI).构造了BVPI的Green函数,并将非线性的BVPI转化为不动点问题,利用Banach不动点定理和Lipschitz条件,证明了该非线性BVPI解的唯一性,最后证明了BVPI解的存在性定理.A boundary value problem with impulse （BVPI） for nonlinear second order difference equa- tions is considered. Green＇ s function of the BVPI was constructed and then the nonlinear BVPI was reduced to a fixed point problem. Banach fixed point theorem and Lipschitz condition were applied to show the uniqueness of solutions for the nonlinear BVPI. Fhlally, the theorem existence of solutions for the nonlinear BVPI was proved.

关 键 词：脉冲条件 GREEN函数 不动点定理 LIPSCHITZ条件 存在性 唯一性 

分 类 号：O175.8[理学—数学]