Remarks on the Periodic Boundary Value Problems for Integrodifferential Equations of Volterra Type

Wan Zhuang; Yubo Chen; Jie Chen

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Remarks on the Periodic Boundary Value Problems for Integrodifferential Equations of Volterra Type

机译：关于Volterra型积分微分方程的周期边值问题的一点注记。

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摘要

This paper is concerned with the monotone method on the periodic boundary value problems for integrodifferential equations of Volterra type. This problem has been studied by several authors [1-6]. The purpose of this paper is to relax the restrictions as much as possible on the coefficients M and N that appear in the one-sided Lipschitz condition.

机译：本文涉及Volterra型积分微分方程周期边值问题的单调方法。一些作者已经研究了这个问题[1-6]。本文的目的是尽可能放松对单侧Lipschitz条件下出现的系数M和N的限制。

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来源
《Computers & mathematics with applications》 |2004年第11期|p. 1641-1646|共6页
作者
Wan Zhuang; Yubo Chen; Jie Chen;
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作者单位

Department of Mathematics, Shandong Normal University Jinan, 250014, P.R. China;

Department of Mathematics, Shandong Normal University Jinan, 250014, P.R. China;

Department of Computer Information Management Shandong Institute of Economics Jinan, 250014, P.R. China;

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原文格式 PDF
正文语种 eng
中图分类计算机的应用;
关键词
Periodic boundary value problem; Lower and upper solutions; Monotone iteration; Contraction mapping; Poincare operator;

机译：周期边值问题;上下解;单调迭代;收缩映射;Poincare算子;

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1. Extremal Solutions to Periodic Boundary Value Problem of Nabla Integrodifferential Equation of Volterra Type on Time Scales [J] . YunlongShi, JunfangZhao Discrete dynamics in nature and society . 2014,第2期

机译：时间尺度上Volterra型Nabla积分微分方程周期边值问题的极值解。
2. On Maximum Periodic Solutions of Integrodifferential Equations of Volterra Type and Their Stability [J] . V. S. Sergeev Automation and Remote Control . 2013,第8期

机译：Volterra型积分微分方程的最大周期解及其稳定性。
3. EXISTENCE　AND　UNIQUENESS　OF　SOLUTIONS　FOR　NONLINEAR　BOUNDARY　VALUE　PROBLEMS　OF　VOLTERRA－HAMMERSTEIN　TYPE　INTEGRODIFFERENTIAL　EQUATION [J] . 王国灿微分方程年刊：英文版 . 1994,第003期

机译：Volterra-Hammerstein型积分等式的非线性边值问题解的存在唯一性
4. Singular Perturbation of Volterra type Integrodifferential Equation for Linear Boundary Value Problems [C] . Wang guocan, Xu kesheng Ninth International Symposium on Distributed Computing and Applications to Business Engineering and Science . 2010

机译：线性边值问题的Volterra型积分微分方程的奇摄动。
5. Analysis and numerical solution of nonlinear Volterra partial integrodifferential equations modeling swelling porous materials. [D] . Wojciechowski, Keith J. 2011

机译：溶胀多孔材料的非线性Volterra偏积分微分方程的分析和数值解。
6. The Convergence Study of the Homotopy Analysis Method for Solving Nonlinear Volterra-Fredholm Integrodifferential Equations [O] . Behzad Ghanbari -1

机译：求解非线性Volterra-Fredholm积分微分方程的同伦分析方法的收敛性研究
7. Remarks on the periodic boundary value problems for integrodifferential equations of volterra type [O] . Zhuang Wan, Chen Yubo, Chen Jie 2004

机译：关于Volterra型积分微分方程周期边值问题的一点注记。
8. Optimal Control Problems for Integrodifferential Equations of Volterra Type. [R] . Kappel, F., Stettner, H. 1976

机译：Volterra型积分微分方程的最优控制问题。

Remarks on the Periodic Boundary Value Problems for Integrodifferential Equations of Volterra Type

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