Halanay Type Inequalities on Time Scales with Applications

Author

M. Adivar
Elvan Akin, Missouri University of Science and TechnologyFollow

Editor(s)

Carl, Siegfried and Mitidieri, Enzo Luigi

Abstract

This paper aims to introduce Halanay type inequalities on time scales. by means of these inequalities we derive new global stability conditions for nonlinear dynamic equations on time scales. Giving several examples we show that besides generalization and extension to q-difference case, our results also provide improvements for the existing theory regarding differential and difference inequalities, which are the most important particular cases of dynamic inequalities on time scales.

Recommended Citation

M. Adivar and E. Akin, "Halanay Type Inequalities on Time Scales with Applications," Nonlinear Analysis: Theory, Methods and Applications, Elsevier, Jan 2011.

The definitive version is available at https://doi.org/10.1016/j.na.2011.08.007

Department(s)

Mathematics and Statistics

Keywords and Phrases

Delay Dynamic Equation; Dynamic Inequality; Global Stability; Halanay Inequality; Shift Operator; Time Scales

International Standard Serial Number (ISSN)

0362-546X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2011 Elsevier, All rights reserved.

Publication Date

01 Jan 2011