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

Xianlong Fu; Ming Li

Studia Mathematica (2014)

  • Volume: 224, Issue: 3, page 199-219
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Xianlong Fu, and Ming Li. "Maximal regularity of second-order evolution equations with infinite delay in Banach spaces." Studia Mathematica 224.3 (2014): 199-219. <http://eudml.org/doc/285738>.

@article{XianlongFu2014,
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.},
author = {Xianlong Fu, Ming Li},
journal = {Studia Mathematica},
keywords = {second order evolution equation; infinite delay; maximal regularity; Fourier multiplier theorem; periodic solution},
language = {eng},
number = {3},
pages = {199-219},
title = {Maximal regularity of second-order evolution equations with infinite delay in Banach spaces},
url = {http://eudml.org/doc/285738},
volume = {224},
year = {2014},
}

TY - JOUR
AU - Xianlong Fu
AU - Ming Li
TI - Maximal regularity of second-order evolution equations with infinite delay in Banach spaces
JO - Studia Mathematica
PY - 2014
VL - 224
IS - 3
SP - 199
EP - 219
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.
LA - eng
KW - second order evolution equation; infinite delay; maximal regularity; Fourier multiplier theorem; periodic solution
UR - http://eudml.org/doc/285738
ER -

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