Elements of Lyapunov Stability Theory for Dynamic Equations on Time Scale
Stability of dynamic equations on time scale is analyzed. The main results are new conditions of stability, uniform stability, and uniform asymptotic stability for quasilinear and nonlinear systems.
A. A. Martynyuk and M. Bohner, "Elements of Lyapunov Stability Theory for Dynamic Equations on Time Scale," International Applied Mechanics, Springer, Sep 2007.
The definitive version is available at https://doi.org/10.1007/s10778-007-0095-6
Mathematics and Statistics
Keywords and Phrases
Lyapunov functions; asymptotic stability; dynamic equations on time scales; nonlinear integral inequality; stability; uniform stability
International Standard Serial Number (ISSN)
Article - Journal
© 2007 Springer, All rights reserved.
01 Sep 2007