Existence of periodic solutions for nonlinear neutral dynamic equations with variable delay on a time scale

A Ardjouni, A Djoudi - … in Nonlinear Science and Numerical Simulation, 2012 - Elsevier
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 Burton to prove the existence of periodic solutions …

[PDF][PDF] Periodic solutions in totally nonlinear dynamic equations with functional delay on a time scale

A Ardjouni, A Djoudi - Rend. Sem. Mat. Univ. Politec …, 2010 - seminariomatematico.polito.it
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 TA Burton to show that the totally nonlinear …

Existence of periodic solutions for nonlinear neutral dynamic equations with functional delay on a time scale

A Ardjouni, A Djoudi - Acta Universitatis Palackianae Olomucensis. Facultas …, 2013 - dml.cz
Let $\mathbb {T} $ be a periodic time scale. The purpose of this paper is to use a
modification of Krasnoselskii's fixed point theorem due to Burton to prove the existence of …

Stability by Krasnoselskii's theorem in totally nonlinear neutral differential equations

I Derrardjia, A Ardjouni, A Djoudi - Opuscula Mathematica, 2013 - infona.pl
In this paper we use fixed point methods to prove asymptotic stability results of the zero
solution of a class of totally nonlinear neutral differential equations with functional delay. The …

[PDF][PDF] Periodic solutions for a second-order nonlinear neutral differential equation with variable delay

A Ardjouni, A Djoudi - Electron. J. Differential Equations, 2011 - ejde.math.txstate.edu
PERIODIC SOLUTIONS FOR A SECOND-ORDER NONLINEAR NEUTRAL DIFFERENTIAL
EQUATION WITH VARIABLE DELAY 1. Introduction Due to their i Page 1 Electronic Journal …

[PDF][PDF] The existence of periodic solutions for a second order nonlinear neutral differential equation with functional delay

A Ardjouni, A Djoudi - Electronic Journal of Qualitative Theory of …, 2012 - real.mtak.hu
EXISTENCE OF PERIODIC SOLUTIONS FOR A SECOND ORDER NONLINEAR NEUTRAL
DIFFERENTIAL EQUATION WITH FUNCTIONAL DELAY 1. INTRODUCTION Page 1 …

[PDF][PDF] Existence of periodic solutions for a second-order nonlinear neutral differential equation with variable delay

A Ardjouni, A Djoudi - Palestine Journal of Mathematics, 2014 - pjm.ppu.edu
Existence of periodic solutions for a second order nonlinear neutral differential equation with
variable delay Page 1 Palestine Journal of Mathematics Vol. 3(2) (2014) , 191–197 © Palestine …

Existence of positive periodic solutions for two types of second-order nonlinear neutral differential equations with variable delay

A Ardjouni, A Djoudi - Proyecciones (Antofagasta), 2013 - SciELO Chile
In this article we study the existence of positive periodic solutions for two types of second-
order nonlinear neutral differential equation with variable delay. The main tool employed …

Study of the stability in nonlinear neutral differential equations with functional delay using Krasnoselskii–Burton's fixed-point

MB Mesmouli, A Ardjouni, A Djoudi - Applied Mathematics and …, 2014 - Elsevier
In this paper, we use a modification of Krasnoselskii's fixed point theorem introduced by
Burton (2002)(see [6] Theorem 3) to obtain stability results of the zero solution of the totally …

[PDF][PDF] Periodic solutions for a third-order delay differential equation

F Nouioua, A Ardjouni, A Djoudi - Applied Mathematics E-Notes, 2016 - math.nthu.edu.tw
In this paper, the following third-order nonlinear delay differential equation with periodic
coeffi cients x (t)+ p (t) x (t)+ q (t) x (t)+ r (t) x (t)= f (t, x (t), x (t− τ (t)))+ c (t) x (t− τ (t)) is …