Article
Elements of stability theory of A.M. Liapunov for dynamic equations on time scales
Nonlinear Dynamics and Systems Theory
Abstract
Stability of dynamic equations on time scales is investigated in this paper. The main results are new conditions for stability, uniform stability, and uniform asymptotic stability of quasilinear and nonlinear systems.
Department(s)
Mathematics and Statistics
Keywords and Phrases
- Dynamic equation on time scales,
- Liapunov functions,
- asymptotic stability,
- nonlinear integral inequality,
- stability,
- uniform stability
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2007 Infor Math Publishing Group, All rights reserved.
Publication Date
1-1-2007
Publication Date
01 Jan 2007
Disciplines
Citation Information
A. A. Martynyuk and Martin Bohner. "Elements of stability theory of A.M. Liapunov for dynamic equations on time scales" Nonlinear Dynamics and Systems Theory (2007) Available at: http://works.bepress.com/martin-bohner/35/