Periodic solutions for a Liénard equation with two deviating arguments.

Wang, Yong; Tian, Junkang

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Existence of periodic solutions for neutral nonlinear differential equations with variable delay.

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Existence and positivity of solutions for a nonlinear periodic differential equation

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We study the existence and positivity of solutions of a highly nonlinear periodic differential equation. In the process we convert the differential equation into an equivalent integral equation after which appropriate mappings are constructed. We then employ a modification of Krasnoselskii’s fixed point theorem introduced by T. A. Burton ([4], Theorem 3) to show the existence and positivity of solutions of the equation.