学术
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。[著者文摘]
文章出处:
《应用数学》-2006年19卷3期 -539-545页
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2006）03-0539-07
The Unique Solution for Periodic Boundary Value Problems of the Discontinuous Second Order Nonlinear Differential Equations
WANG Li （Department of Applied Mathematics, Hainan University , Haikou 570228, China）
Abstract:
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.[著者文摘]
Key words:
Periodic boundary value problem ; Monotone operator ; Approximation solution
基金资助:
Supported by Natural Science Foundation of Hainan Province （10102） and Educational Department of Hainan Province （200208）
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