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二阶微分方程反周期边值问题解的存在性
引用本文:罗治国,王卫兵.二阶微分方程反周期边值问题解的存在性[J].应用数学学报,2006,29(6):1111-1117.
作者姓名:罗治国  王卫兵
作者单位:1. 吉首大学数学与计算机科学学院,吉首,416000;湖南师范大学数学系,长沙,410081
2. 湖南师范大学数学系,长沙,410081
摘    要:在这篇文章中,我们考虑了一类非线性二阶常微分方程反周期边值问题.利用上下解方法结合单调迭代技巧,我们得到了解的存在性结果.

关 键 词:反周期边值问题  单调迭代  上下解
收稿时间:2005-08-16
修稿时间:2005-08-162006-06-06

Existence of Solutions to Anti-periodic Boundary Value Problems for Second-Order Differential Equations
LUO ZHIGUO,WANG WEIBING.Existence of Solutions to Anti-periodic Boundary Value Problems for Second-Order Differential Equations[J].Acta Mathematicae Applicatae Sinica,2006,29(6):1111-1117.
Authors:LUO ZHIGUO  WANG WEIBING
Institution:1College of Mathematics and Computer Science, Jishou University, Jishou 416000;2 Department of Mathematics, Hunan Normal University, Changsha 410081
Abstract:In this paper, we consider the anti-periodic boundary value problem for a class of nonlinear second order diffenertial equations. A existence result is obtained via upper and lower solutions method coupled with the monotone iterative technique.
Keywords:anti-periodic boundary value problems  monotone iteration  upper and lower solutions
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