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

共 19 条

[1] Anh P.K., 2006, INT J DIFFERENCE EQU, V1, P181
[2] [Anonymous], 2003, ADV DYNAMIC EQUATION
[3] [Anonymous], 1989, LECT NOTES CONTROL I
[4] [Anonymous], ANAL AUF MASSKETTEN
[5] [Anonymous], 1986, DIFFERENTIAL ALGEBRA
[6] Linear perturbations of a nonoscillatory second-order dynamic equation
Bohner, Martin
Stevic, Stevo
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2009, 15 (11-12) : 1211 - 1221
[7] Trench's perturbation theorem for dynamic equations
Bohner, Martin
Stevic, Stevo
[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2007, 2007
[8] Campbell S. L., 1980, Research Notes in Mathematics, V40
[9] Stability radii for positive linear time-invariant systems on time scales
Doan, T. S.
Kalauch, A.
Siegmund, S.
Wirth, F. R.
[J]. SYSTEMS & CONTROL LETTERS, 2010, 59 (3-4) : 173 - 179
[10] Stability radii for linear time-varying differential-algebraic equations with respect to dynamic perturbations
Du, Nguyen Huu
Linh, Vu Hoang
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 230 (02) : 579 - 599

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