Existence of Positive Periodic Solutions for a Third-Order Delay Differential Equation

Existence of Positive Periodic Solutions for a Third-Order Delay Differential Equation

In this paper, the following third-order nonlinear delay differential equation with periodic coefficients x′′′(t)+p(t)x′′(t)+q(t)x′(t)+r(t)x(t)=f(t,x(t),x(t-τ(t)))+c(t)x′(t-τ(t)), is considered. By employing Green's function and Krasnoselskii's fixed point theorem, we state and prove the e...

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Veröffentlicht in:International journal of analysis and applications 2017-03, Vol.13 (2), p.136-143
Hauptverfasser: Farid Nouioua, Abdelouaheb Ardjouni, Abdelkerim Merzougui, Ahcene Djoudi
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Sprache:eng
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Zusammenfassung:In this paper, the following third-order nonlinear delay differential equation with periodic coefficients x′′′(t)+p(t)x′′(t)+q(t)x′(t)+r(t)x(t)=f(t,x(t),x(t-τ(t)))+c(t)x′(t-τ(t)), is considered. By employing Green's function and Krasnoselskii's fixed point theorem, we state and prove the existence of positive periodic solutions to the third-order delay differential equation.
ISSN:2291-8639
2291-8639