PERIODIC SOLUTIONS FOR SOME NONLINEAR PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS-Reference-Cited by-同舟云学术

PERIODIC SOLUTIONS FOR SOME NONLINEAR PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Published:2010-02 Issue:02 Volume:20 Page:545-555
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

BENKHALTI RACHID¹,ELAZZOUZI ABDELHAI²,EZZINBI KHALIL²

Affiliation:

1. Pacific Lutheran University, Department of Mathematics, Tacoma, WA 98447, USA

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

Abstract

In this work, we study the existence of periodic solutions for some nonlinear partial functional differential equation of neutral type. We assume that the linear part is nondensely defined and satisfies the Hille–Yosida condition. The delayed part is assumed to be ω-periodic with respect to the first argument. Using a fixed point theorem for multivalued mapping, some sufficient conditions are given to prove the existence of periodic solutions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127410025600

Reference24 articles.

1. A Class of Linear Partial Neutral Functional Differential Equations with Nondense Domain

2. Strict solutions of nonlinear hyperbolic neutral differential equations

3. Existence of a Periodic Solution for Some Partial Functional Differential Equations with Infinite Delay

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Periodic solutions for semilinear partial differential equation with lack of compactness;Journal of Mathematical Analysis and Applications;2024-11

2. Existence and asymptotic stability of periodic solutions for neutral evolution equations with delay;Evolution Equations & Control Theory;2020

3. Existence and regularity of periodic solutions for neutral evolution equations with delays;Advances in Difference Equations;2019-08-08

4. Periodic Solutions for Non-Autonomous Neutral Functional Differential Equations with Finite Delay;Acta Mathematica Vietnamica;2017-04-17

5. Periodic Solutions for Some Nondensely Nonautonomous Partial Functional Differential Equations in Fading Memory Spaces;Differential Equations and Dynamical Systems;2016-10-26