Lyapunov Stability of Quasilinear Implicit Dynamic Equations on Time Scales

This paper studies the stability of the solution x≡0 for a class of quasilinear implicit dynamic equations on time scales of the form [subscript]At[/subscript] [superscript]xΔ[/superscript] =f(t,x) . We deal with an index concept to study the solvability and use Lyapunov functions as a tool to appro...

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Bibliographic Details
Published in:Journal of inequalities and applications 2011-01, Vol.2011 (1), p.979705-979705
Main Authors: Du, N H, Liem, N C, Chyan, C J, Lin, S W
Format: Article
Language:English
Subjects:
Cauchy problems
Growth models
Mathematical models
Mathematics
Studies
Online Access:Get full text
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Summary:This paper studies the stability of the solution x≡0 for a class of quasilinear implicit dynamic equations on time scales of the form [subscript]At[/subscript] [superscript]xΔ[/superscript] =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.
ISSN:1025-5834
1029-242X
1029-242X
DOI:10.1186/1029-242X-2011-979705