Maximal regularity of second-order evolution equations with infinite delay in Banach spaces

Xianlong Fu; Ming Li

doi:10.4064/sm224-3-2

Maximal regularity of second-order evolution equations with infinite delay in Banach spaces

Xianlong Fu
, Ming Li

School of Mathematical Sciences

East China Normal University

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

6 Scopus citations

Abstract

By using Fourier multiplier theorems we characterize the existence and uniqueness of periodic solutions for a class of second-order differential equations with infinite delay. We also establish maximal regularity results for the equations in various spaces. An example is provided to illustrate the applications of the results obtained.

Original language	English
Pages (from-to)	199-219
Number of pages	21
Journal	Studia Mathematica
Volume	224
Issue number	3
DOIs	https://doi.org/10.4064/sm224-3-2
State	Published - 2014

Keywords

Fourier multiplier theorem
Infinite delay
Maximal regularity
Periodic solution
Second-order evolution equation

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10.4064/sm224-3-2

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title = "Maximal regularity of second-order evolution equations with infinite delay in Banach spaces",

abstract = "By using Fourier multiplier theorems we characterize the existence and uniqueness of periodic solutions for a class of second-order differential equations with infinite delay. We also establish maximal regularity results for the equations in various spaces. An example is provided to illustrate the applications of the results obtained.",

keywords = "Fourier multiplier theorem, Infinite delay, Maximal regularity, Periodic solution, Second-order evolution equation",

author = "Xianlong Fu and Ming Li",

note = "Publisher Copyright: {\textcopyright} Instytut Matematyczny PAN, 2014.",

year = "2014",

doi = "10.4064/sm224-3-2",

language = "英语",

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T1 - Maximal regularity of second-order evolution equations with infinite delay in Banach spaces

AU - Fu, Xianlong

AU - Li, Ming

N1 - Publisher Copyright: © Instytut Matematyczny PAN, 2014.

PY - 2014

Y1 - 2014

N2 - By using Fourier multiplier theorems we characterize the existence and uniqueness of periodic solutions for a class of second-order differential equations with infinite delay. We also establish maximal regularity results for the equations in various spaces. An example is provided to illustrate the applications of the results obtained.

AB - By using Fourier multiplier theorems we characterize the existence and uniqueness of periodic solutions for a class of second-order differential equations with infinite delay. We also establish maximal regularity results for the equations in various spaces. An example is provided to illustrate the applications of the results obtained.

KW - Fourier multiplier theorem

KW - Infinite delay

KW - Maximal regularity

KW - Periodic solution

KW - Second-order evolution equation

UR - https://www.scopus.com/pages/publications/84919711880

U2 - 10.4064/sm224-3-2

DO - 10.4064/sm224-3-2

M3 - 文章

AN - SCOPUS:84919711880

SN - 0039-3223

VL - 224

SP - 199

EP - 219

JO - Studia Mathematica

JF - Studia Mathematica

IS - 3

ER -

Maximal regularity of second-order evolution equations with infinite delay in Banach spaces

Abstract

Keywords

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