不连续二阶非线性微分方程的周期边值问题的唯一解(英文)  

The Unique Solution for Periodic Boundary Value Problems of the Discontinuous Second Order Nonlinear Differential Equations

作　　者：王李[1] 

机构地区：[1]海南大学应用数学系,海南海口570228

出　　处：《应用数学》2006年第3期539-545,共7页Mathematica Applicata

基　　金：Supported by Natural Science Foundation of Hainan Province (10102) and EducationalDepart ment of Hainan Province (200208)

摘　　要：在Banach中,本文在很弱条件下,通过迭代序列得到了不连续二阶非线性微分方程的周期边值问题的唯一解存在性的一个充分条件,而且给出了迭代序列近代解的误差估计.The existence of the unique solution for periodic boundary value problems of the discontinuous second order nonlinear differential equations in Banach spaces is presented. Under quite weakly conditions, we show that the unique solution of the above problems can be obtained by the uniformly limit of an iterative sequence. Moreover,the error estimate of the iterative sequences of approximation solutions is given.

关 键 词：周期边值问题 单调算子 近代解 

分 类 号：O175[理学—数学]