PULLBACK ATTRACTORS FOR DIFFERENTIAL EQUATIONS WITH MULTIPLE VARIABLE DELAYS IN LIPSCHITZ NONLINEARITIES-Reference-Cited by-同舟云学术

PULLBACK ATTRACTORS FOR DIFFERENTIAL EQUATIONS WITH MULTIPLE VARIABLE DELAYS IN LIPSCHITZ NONLINEARITIES

Published:2013-11 Issue:11 Volume:23 Page:1350187
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

CARABALLO TOMÁS¹,KISS GÁBOR²,TANIGUCHI TAKESHI³

Affiliation:

1. Dpto. Ecuaciones Diferenciales y Análisis Numérico, Facultad de Matemáticas, Universidad de Sevilla, Campus Reina Mercedes, Apdo. de Correos 1160 41080 Sevilla, Spain

2. Department of Mathematics, University of Durham, Durham, UK DH1 3LE, UK

3. Division of Mathematical Sciences, Graduate School of Comparative Culture, Kurume University, Miimachi, Kurume, Fukuoka 839-8502, Japan

Abstract

We establish the results on the existence of pullback attractors for nonautonomous functional differential equations with multiple delays appearing within nonlinear Lipschitz terms. The results are complementary to recently presented findings in [Caraballo & Kiss, 2013a, 2013b], and they extend the class of nonlinearities to which existence results can be established by improving on a condition presented in [Caraballo & Kiss, 2013b].

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127413501873

Reference6 articles.

1. Attractivity for neutral functional differential equations

2. Attractors for differential equations with multiple variable delays

3. Impulsive-integral inequality and exponential stability for stochastic partial differential equations with delays

4. Introduction to Functional Differential Equations

Cited by 1 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. PULLBACK ATTRACTOR FOR A NON-AUTONOMOUS GENERALIZED CAHN-HILLIARD EQUATION WITH BIOLOGICAL APPLICATIONS;Mathematical Modelling and Analysis;2016-05-19