"Elements of Lyapunov Stability Theory for Dynamic Equations on Time Scale" by A. A. Martynyuk

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Elements of Lyapunov Stability Theory for Dynamic Equations on Time Scale

International Applied Mechanics

A. A. Martynyuk
Martin Bohner, Missouri University of Science and Technology

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Abstract

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.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Lyapunov functions,
asymptotic stability,
dynamic equations on time scales,
nonlinear integral inequality,
stability,
uniform stability

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

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Publication Date

9-1-2007

Publication Date

01 Sep 2007

Disciplines

Citation Information

A. A. Martynyuk and Martin Bohner. "Elements of Lyapunov Stability Theory for Dynamic Equations on Time Scale" International Applied Mechanics (2007) ISSN: 1063-7095
Available at: http://works.bepress.com/martin-bohner/33/