Existence and positivity of solutions for a totally nonlinear neutral periodic differential equation

EXISTENCE OF PERIODIC SOLUTIONS IN TOTALLY NONLINEAR NEUTRAL DIFFERANCE EQUATIONS WITH VARIABLE DELAY

Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay

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On the Existence and Stability of Periodic Solutions for a Nonlinear Neutral Functional Differential Equation

and Applied Analysis 3 Therefore, (Ax)(t + ω) = (Ax)(t). Meanwhile, we get

Existence of Periodic Solutions for a Second Order Nonlinear Neutral Functional Differential Equation

We study the existence of periodic solutions of the second order nonlinear neutral differential equation with variable delay x′′ (t) + p (t)x′ (t) + q (t)h (x (t)) = c (t)x′ (t− τ (t)) + f (t, x (t− τ (t))) . We invert the given equation to obtain an integral, but equivalent, equation from which we define a fixed point mapping written as a sum of a large contraction and a compact map. We show t...

Existence of Periodic Solutions for a Second Order Nonlinear Neutral Differential Equation with Functional Delay

In this article we study the existence of periodic solutions of the second order nonlinear neutral differential equation with functional delay d dt x (t) + p (t) d dt x (t) + q (t) x (t) = d dt g (t, x (t− τ (t))) + f ` t, x (t) , x (t− τ (t)) ́ . The main tool employed here is the Burton-Krasnoselskii’s hybrid fixed point theorem dealing with a sum of two mappings, one is a large contraction an...