Existence of periodic solutions in totally nonlinear delay dynamic equations

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

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A. Ardjouni and A. Djoudi PERIODIC SOLUTIONS IN TOTALLY NONLINEAR DYNAMIC EQUATIONS WITH FUNCTIONAL DELAY ON A TIME SCALE

Let T be a periodic time scale. The purpose of this paper is to use a modification of Krasnoselskii’s fixed point theorem due to T. A. Burton to show that the totally nonlinear dynamic equation with functional delay x△(t) =−a(t)x3(σ(t))+G ( t, x3(t), x3(t − r(t)) ) , t ∈ T, has a periodic solution. We invert this equation to construct a sum of a compact map and a large contraction, which is sui...

Existence of Periodic Solutions for Higher-order Nonlinear Difference Equations

In this article, we study a higher-order nonlinear difference equation. By using critical point theory, we establish sufficient conditions for the existence of periodic solutions.