Lyapunov Stability of Quasilinear Implicit Dynamic Equations on Time Scales

被引：3

作者：

Du, N. H. ^{[1
]}

Liem, N. C. ^{[1
]}

Chyan, C. J. ^{[2
]}

Lin, S. W. ^{[2
]}

机构：

[1] Vietnam Natl Univ, Dept Math Mech & Informat, Hanoi, Vietnam

[2] Tamkang Univ, Dept Math, Tamsui 25317, Taipei County, Taiwan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2011年

关键词：

DIFFERENTIAL-ALGEBRAIC EQUATIONS; SYSTEMS;

D O I：

10.1155/2011/979705

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the stability of the solution x equivalent to 0 for a class of quasilinear implicit dynamic equations on time scales of the form A(t)x(Delta) = f(t, x ). We deal with an index concept to study the solvability and use Lyapunov functions as a tool to approach the stability problem.

引用

页数：27

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