Asymptotic periodicity for some evolution equations in Banach spaces

Ravi P. Agarwal; Claudio Cuevas; Herme Soto; Mohamed El-Gebeily

doi:10.1016/j.na.2010.10.051

Asymptotic periodicity for some evolution equations in Banach spaces

Ravi P. Agarwal, Claudio Cuevas^*, Herme Soto, Mohamed El-Gebeily

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

33 Scopus citations

Abstract

This work deals with the existence and uniqueness of pseudo-almost periodic and asymptotically ω-periodic mild solutions to some evolution equations in Banach spaces.

Original language	English
Pages (from-to)	1769-1798
Number of pages	30
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	74
Issue number	5
DOIs	https://doi.org/10.1016/j.na.2010.10.051
State	Published - 1 Mar 2011

Keywords

Asymptotically ω-periodic function
Evolution equation
HilleYosida operator
Integral resolvent family
Integro-differential equation
Mild solutions
Phase space
Pseudo-almost periodic function of class p
Weighted pseudo-almost periodic function

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2010.10.051

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@article{c66e1736d89c48e78048ccf6fbd280cb,

title = "Asymptotic periodicity for some evolution equations in Banach spaces",

abstract = "This work deals with the existence and uniqueness of pseudo-almost periodic and asymptotically ω-periodic mild solutions to some evolution equations in Banach spaces.",

keywords = "Asymptotically ω-periodic function, Evolution equation, HilleYosida operator, Integral resolvent family, Integro-differential equation, Mild solutions, Phase space, Pseudo-almost periodic function of class p, Weighted pseudo-almost periodic function",

author = "Agarwal, \{Ravi P.\} and Claudio Cuevas and Herme Soto and Mohamed El-Gebeily",

year = "2011",

month = mar,

day = "1",

doi = "10.1016/j.na.2010.10.051",

language = "English",

volume = "74",

pages = "1769--1798",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

number = "5",

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TY - JOUR

T1 - Asymptotic periodicity for some evolution equations in Banach spaces

AU - Agarwal, Ravi P.

AU - Cuevas, Claudio

AU - Soto, Herme

AU - El-Gebeily, Mohamed

PY - 2011/3/1

Y1 - 2011/3/1

N2 - This work deals with the existence and uniqueness of pseudo-almost periodic and asymptotically ω-periodic mild solutions to some evolution equations in Banach spaces.

AB - This work deals with the existence and uniqueness of pseudo-almost periodic and asymptotically ω-periodic mild solutions to some evolution equations in Banach spaces.

KW - Asymptotically ω-periodic function

KW - Evolution equation

KW - HilleYosida operator

KW - Integral resolvent family

KW - Integro-differential equation

KW - Mild solutions

KW - Phase space

KW - Pseudo-almost periodic function of class p

KW - Weighted pseudo-almost periodic function

UR - https://www.scopus.com/pages/publications/78651346891

U2 - 10.1016/j.na.2010.10.051

DO - 10.1016/j.na.2010.10.051

M3 - Article

AN - SCOPUS:78651346891

SN - 0362-546X

VL - 74

SP - 1769

EP - 1798

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 5

ER -

Asymptotic periodicity for some evolution equations in Banach spaces

Abstract

Keywords

ASJC Scopus subject areas

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