Halanay type inequalities on time scales with applications |
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Authors: | Murat Ad?var Elvan Ak?n Bohner |
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Institution: | aIzmir University of Economics, Department of Mathematics, 35330, Izmir, Turkey;bMissouri University Science & Technology, Department of Mathematics & Statistics, Rolla, MO, 65409-0020, USA |
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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. |
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Keywords: | MSC: primary 34N05 34A40 secondary 34D20 39A13 |
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