Halanay Type Inequalities on Time Scales with Applications
Carl, Siegfried and Mitidieri, Enzo Luigi
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.
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 http://dx.doi.org/10.1016/j.na.2011.08.007
Mathematics and Statistics
Keywords and Phrases
Delay Dynamic Equation; Dynamic Inequality; Global Stability; Halanay Inequality; Shift Operator; Time Scales
Article - Journal
© 2011 Elsevier, All rights reserved.