Existence of positive periodic solutions for third-order nonlinear delay differential equations with variable coefficients
Mathematica Moravica, Tome 23 (2019) no. 2.

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In this paper, the following third-order nonlinear delay differential equation with periodic coefficients $$x'''(t) + p(t)x''(t)+q(t)x'(t)+r(t)x(t)= f\bigl(t,x(t),x(t-au(t))\bigr) + \frac{d}{dt}g\bigl(t,x(t-au(t))\bigr),$$ 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 nonlinear delay differential equation.
Mots-clés : Fixed point, positive periodic solutions, third-order delay differential equations 
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     title = {Existence of positive periodic solutions for third-order nonlinear delay differential equations with variable coefficients},
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Abdelouaheb Ardjouni; Ahcene Djoudi. Existence of positive periodic solutions for third-order nonlinear delay differential equations with variable coefficients. Mathematica Moravica, Tome 23 (2019) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2019_23_2_a1/