Halanay type inequalities on time scales with applications

Details Halanay type inequalities on time scales with applications Halanay type inequalities on time scales with applications

2011-02-10

arxiv.org/abs/1102.2120v2

Mathematics

Classical Analysis and ODEs

Scientific paper

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 beside generalization and extension to q-difference case, our results also provide improvements for the existing theory regarding differential and difference inequalites, which are the most important particular cases of dynamic inequalities on time scales.

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