Stability in nonlinear neutral Levin-Nohel integro-dynamic equations

Stability in nonlinear neutral Levin-Nohel integro-dynamic equations

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-dynamic equation xΔ (t)+∫tt-τ (t) a(t,s)g(x(s)) Δ s+c(t)xΔ̃ (t-τ (t)) = 0. The results obtaine...

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Veröffentlicht in:Surveys in mathematics and its applications 2019-06, Vol.14 (2019), p.173-193
Hauptverfasser: Kamel Ali Khelil, Abdelouaheb Ardjouni, Ahcene Djoudi
Format: Artikel
Sprache:eng
Schlagworte:
fixed points
neutral integro-dynamic equations
stability
time scale
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Zusammenfassung: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-dynamic equation xΔ (t)+∫tt-τ (t) a(t,s)g(x(s)) Δ s+c(t)xΔ̃ (t-τ (t)) = 0. The results obtained here extend the work of Ali Khelil, Ardjouni and Djoudi [Korean J. Math, 2017].
ISSN:1843-7265
1842-6298