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

  • East China Normal University

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)199-219
Number of pages21
JournalStudia Mathematica
Volume224
Issue number3
DOIs
StatePublished - 2014

Keywords

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

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