[1]谢婉雯.一阶时滞微分方程周边值问题单调迭代法[J].深圳大学学报理工版,2005,22(4):303-306.
 XIE Wan-wen.The periodic boundary value problem for first order differential equations with delay and monotone iterative methods[J].Journal of Shenzhen University Science and Engineering,2005,22(4):303-306.
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一阶时滞微分方程周边值问题单调迭代法()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
第22卷
期数:
2005年4期
页码:
303-306
栏目:
数学与应用数学
出版日期:
2005-10-30

文章信息/Info

Title:
The periodic boundary value problem for first order differential equations with delay and monotone iterative methods
文章编号:
1000-2618(2005)04-0303-04
作者:
谢婉雯
深圳大学理学院,深圳518060
Author(s):
XIE Wan-wen
College of Science Shenzhen University Shenzhen 518060 P. R. China
关键词:
一阶时滞微分方程周期边值问题上下解方法单调迭代法
Keywords:
first order differential equations with delayperiodic boundary value problemsupper and lower solutionmonotone iterative technique
分类号:
O 175. 8
文献标志码:
A
摘要:
将用于研究常微分方程周期边值问题地上下解方法与单调迭代技巧,拓展于研究泛函微分方程中一类一阶时滞微分方程周期边值问题,论证了此类方程周期边值问题地最大解和最小解的存在性,以及一致收敛于解地迭代逼近序列.
Abstract:
To find the sufficient conditions for the existence solutions of the periodic boundary value problems of ordinary differential equations,the so called upper and lower solution method together with monotone iterative technique was a very effective strategy. This strategy was applied validly for the first order differential equations with delay without assuming monotonicity in the nonlinear part. Also,two nonotone sequences which converge uniformly to the relevant solutions were obtained.
更新日期/Last Update: 2015-10-16