On the existence of positive periodic solutions for totally nonlinear neutral differential equations of the second-order with functional delay

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

...

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...

existence of periodic solutions in totally nonlinear neutral differance equations with variable delay

On the Existence of Positive Periodic Solutions for Second-Order Functional Differential Equations with Multiple Delays

and Applied Analysis 3 The techniques used in this paper are completely different from those in 5 . Our results are more general than those in 5 in two aspects. Firstly, we relax the conditions of the coefficient a t appeared in an equation in 5 and expand the range of its values. Secondly, by constructing a special cone and applying the fixed-point index theory in cones, we obtain the essentia...