集控制微分方程解的有界性

IF 1.2 Q2 MATHEMATICS, APPLIED

Journal of Applied Mathematics Pub Date : 2012-08-31 DOI:10.5923/J.AM.20120204.08

N. Phu, L. T. Quang, L. Dung

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引用次数: 0

摘要

集值微分方程是集值分析理论的重要组成部分。Lakshmikantham V教授和许多其他作者对此进行了调查(见(1)-(6)，(8)-(10))。除此之外，我们还要研究集值控制微分方程(SCDEs)集解的存在性、比较性和稳定性问题(见(7)、(11)-(16))。本文利用类李雅普诺夫函数和可容许控制反馈给出了集控制微分方程集解的有界性问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Boundedness Properties of Solutions to Set Control Differential Equations

The set-valued differential equations (SDEs) are important parts of the set-valued analysis theory. It was investigeted by professor Lakshmikantham V., and many other authors (see(1)-(6),(8)-(10)). Beside that, we have to studied the problems of existence, co mparison and stability of set solutions to the set-valued control differential equations (SCDEs) (see(7),(11)-(16)). In this paper, we present the problems of boundedness for set solutions to the Set Control Differential Equations (SCDEs) by the Lyapunov-like functions and by admisib le control- feedback.

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来源期刊

Journal of Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.70

自引率

0.00%

发文量

审稿时长

3.2 months

期刊介绍： Journal of Applied Mathematics is a refereed journal devoted to the publication of original research papers and review articles in all areas of applied, computational, and industrial mathematics.