非线性滞后广义系统边值问题的单调迭代法  

MONOTONE ITERATIVE TECHNIQUE FOR BOUNDARY VALUE PROBLEMS OF NONLINEAR SINGULAR SYSTEMS WITH DELAY

作　　者：张静[1] 贾培佩[2] 

机构地区：[1]北华航天工业学院基础部,河北廊坊 065000 [2]河北金融学院基础部,河北保定071051

出　　处：《山东师范大学学报（自然科学版）》2011年第1期30-32,共3页Journal of Shandong Normal University(Natural Science)

摘　　要：讨论了一类非线性滞后广义系统的边值问题,通过单调迭代与上下解相结合的方法证明了非线性滞后广义系统解的存在定理.通过构造迭代序列,由相应的线性广义系统的解得到非线性滞后广义系统的解.In this paper,the existence theorem of solutions of boundary value problems for nonlinear singular systems with delay have been established by monotone iterative technique combined with the method of upper and lower solutions. The existence of solutions for nonlinear singular systems with delay is obtained as limits of monotone sequence, each member of those sequence is a solution of linear singular systems which can explicitly be computed.

关 键 词：边值问题 单调迭代法 上下解 非线性广义系统 滞后广义系统 

分 类 号：O175.1[理学—数学] O175.8[理学—基础数学]