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

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	199-219
页数	21
期刊	Studia Mathematica
卷	224
期	3
DOI	https://doi.org/10.4064/sm224-3-2
出版状态	已出版 - 2014

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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",

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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

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