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不连续二阶非线性微分方程的周期边值问题的唯一解
引用本文:王李.不连续二阶非线性微分方程的周期边值问题的唯一解[J].应用数学,2006,19(3):539-545.
作者姓名:王李
作者单位:海南大学应用数学系,海南,海口,570228
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.

关 键 词:周期边值问题  单调算子  近代解
文章编号:1001-9847(2006)03-0539-07
收稿时间:2005-10-31
修稿时间:2005年10月31

The Unique Solution for Periodic Boundary Value Problems of the Discontinuous Second Order Nonlinear Differential Equations
WANG Li.The Unique Solution for Periodic Boundary Value Problems of the Discontinuous Second Order Nonlinear Differential Equations[J].Mathematica Applicata,2006,19(3):539-545.
Authors:WANG Li
Institution: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.
Keywords:Periodic boundary value problem  Monotone operator  Approximation solution
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