existence of positive periodic solutions for a third-order delay differential equation
Clicks: 165
ID: 132233
2017
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.
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.
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nouioua2017internationalexistence
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| Authors | ;Farid Nouioua;Abdelouaheb Ardjouni;Abdelkerim Merzougui;Ahcene Djoudi |
| Journal | artium |
| Year | 2017 |
| DOI | DOI not found |
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