Structure of the Set of Bounded Solutions and Existence of Pseudo Almost Periodic Solutions of a Vector Liénard Differential Equation-Reference-Cited by-同舟云学术

Structure of the Set of Bounded Solutions and Existence of Pseudo Almost Periodic Solutions of a Vector Liénard Differential Equation

Published:2019-01-01 Issue:1 Volume:6 Page:35-56
ISSN:2353-0626
Container-title:Nonautonomous Dynamical Systems
language:en
Short-container-title:

Author:

E. Ait Dads ¹,Cieutat P.²,Lhachimi L.³

Affiliation:

1. Université Cadi Ayyad , Département de Mathématiques, Faculté des Sciences , B.P. 2390 Marrakech , Morocco , Unité associée au CNRST (Morocco) URAC 02. UMI-UMMISCO 209 ( IRD - UPMC ), France

2. Laboratoire de Mathématiques de Versailles , Université de Versailles Saint-Quentin en Yvelines , 45 Avenue des Etats-Unis, 78035 Versailles Cedex, France

3. Université Cadi Ayyad , Département de Mathématiques, Faculté des Sciences , B.P. 2390 Marrakech , Morocco

Abstract

Abstract We give sufficient conditions ensuring the existence and uniqueness of pseudo almost periodic solution of the vectorial Liénard ’s equation.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Statistics and Probability,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/msds-2019-0003/pdf

Reference22 articles.

1. [1] E. Ait Dads, P. Cieutat, and L. Lhachimi, Structure of the set of bounded solutions and existence of pseudo almost periodic solutions of a Liénard equation, Journal of Differential and Integral Equations, Vol. 20, No 7 (2007), 793-813.

2. [2] E. Ait Dads, O. Arino, and K. Ezzinbi, Pseudo almost periodic solutions of some differential equations in a Banach space, Nonlinear Analysis Theory Methods and Applications,.28, (1997) No7, 1141-1155.

3. [3] E. Ait Dads and K. Ezzinbi, Existence of pseudo almost periodic solution for some abstract semilinear functional differential equation, Dynamic. Systems and Applications. 11 (2002), 493-498.

4. [4] E. Ait Dads, and O. Arino; Exponential dichotomy and the existence of pseudo almost periodic solutions of some differential equations, Nonlinear Analysis Theory Methods and Applications,27, (1996) No4, 369-386.

5. [5] E. Ait Dads, P. Cieutat and S. Fatajou: Pseudo almost automorphic solutions for some nonlinear differential equations: Liénard equations and Hamiltonian systems: International Journal of Evolution equations Volume 3 Issue 4. (2009), 503-524.