Existence of almost periodic solutions for strongly stable nonlinear impulsive differential-difference equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Existence of almost periodic solutions for strongly stable nonlinear impulsive differential-difference equations

Authors:	GT StamovIM Stamova JO Alzabut

Institution:	^a Department of Mathematics, Technical University of Sofia, 8800 Sliven, Bulgaria ^b Department of Mathematics, Bourgas Free University, Bourgas, Bulgaria ^c Department of Mathematics and Physical Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia

Abstract:	Sufficient conditions are established for the existence of almost periodic solutions for strongly stable nonlinear impulsive differential-difference equations. The investigations are carried out by means of piecewise continuous functions of Lyapunov type and by using Markoff’s sets. We provide an example to demonstrate the effectiveness of our results.

Keywords:	Almost periodic solutions Lyapunov&rsquo s function Markoff&rsquo s sets
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