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Stability in nonlinear neutral Levin-Nohel integro-differential equations

Kamel Ali Khelil|Abdelouaheb Ardjouni|Ahcene Djoudi
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2017.09|한국수학논문집 (Korean Journal of Mathematics)|제25권 제3호|pp. 303-321

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키워드

stabilityFixed pointsneutral integro-differential equations
주제분류수학

초록

In this paper we use the Krasnoselskii-Burton's fixed point theorem to obtain asymptotic stability and stability results about the zero solution for the following nonlinear neutral Levin-Nohel integro-differential equation $$ x^{\prime }(t)+\int_{t-\tau (t)}^{t}a(t,s)g\left( x(s)\right) ds+c(t)x^{\prime }(t-\tau (t))=0. $$ The results obtained here extend the work of Mesmouli, Ardjouni and Djoudi [20].

Abstract

In this paper we use the Krasnoselskii-Burton's fixed point theorem to obtain asymptotic stability and stability results about the zero solution for the following nonlinear neutral Levin-Nohel integro-differential equation $$ x^{\prime }(t)+\int_{t-\tau (t)}^{t}a(t,s)g\left( x(s)\right) ds+c(t)x^{\prime }(t-\tau (t))=0. $$ The results obtained here extend the work of Mesmouli, Ardjouni and Djoudi [20].

참고문헌 (24)

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