Attractivity for neutral functional differential equations

Tomás Caraballo; Gábor Kiss

doi:10.3934/dcdsb.2013.18.1793

Attractivity for neutral functional differential equations

Tomás Caraballo, Gábor Kiss

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We study the long term dynamics of non-autonomous functional differential equations. Namely, we establish existence results on pullback attractors for non-linear neutral functional differential equations with time varying delays. The two main results differ in smoothness properties of delay functions.

Original language	English
Pages (from-to)	1793-1804
Number of pages	12
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	18
Issue number	7
DOIs	https://doi.org/10.3934/dcdsb.2013.18.1793
Publication status	Published - 01 Sept 2013
Externally published	Yes

Keywords

Neutral equation
Non-autonomous dynamics
Pullback attractor

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcdsb.2013.18.1793

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title = "Attractivity for neutral functional differential equations",

abstract = "We study the long term dynamics of non-autonomous functional differential equations. Namely, we establish existence results on pullback attractors for non-linear neutral functional differential equations with time varying delays. The two main results differ in smoothness properties of delay functions.",

keywords = "Neutral equation, Non-autonomous dynamics, Pullback attractor",

author = "Tom{\'a}s Caraballo and G{\'a}bor Kiss",

year = "2013",

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doi = "10.3934/dcdsb.2013.18.1793",

language = "English",

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T1 - Attractivity for neutral functional differential equations

AU - Caraballo, Tomás

AU - Kiss, Gábor

PY - 2013/9/1

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N2 - We study the long term dynamics of non-autonomous functional differential equations. Namely, we establish existence results on pullback attractors for non-linear neutral functional differential equations with time varying delays. The two main results differ in smoothness properties of delay functions.

AB - We study the long term dynamics of non-autonomous functional differential equations. Namely, we establish existence results on pullback attractors for non-linear neutral functional differential equations with time varying delays. The two main results differ in smoothness properties of delay functions.

KW - Neutral equation

KW - Non-autonomous dynamics

KW - Pullback attractor

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U2 - 10.3934/dcdsb.2013.18.1793

DO - 10.3934/dcdsb.2013.18.1793

M3 - Article

AN - SCOPUS:84879119959

SN - 1531-3492

VL - 18

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JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

IS - 7

ER -

Attractivity for neutral functional differential equations

Abstract

Keywords

ASJC Scopus subject areas

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