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Solving Becker's Problem on Periodic Solutions of Parabolic Evolution Equations

Vidossich, Giovanni
2018
  • journal article

Periodico
ADVANCED NONLINEAR STUDIES
Abstract
We present existence and multiplicity theorems for periodic mild solutions to parabolic evolution equations. Their peculiarity is a link with the spectrum of the generator of the semigroup rather than with the spectrum of the linearized periodic BVP for the evolution equation. They provide a positive solution to the open problem risen by Becker [3], they extend some results of Castro and Lazer [5] from scalar to systems of parabolic equations, and they are new even for finite-dimensional ODEs.
DOI
10.1515/ans-2017-6047
WOS
WOS:000428801600001
Archivio
http://hdl.handle.net/20.500.11767/86286
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85042053208
Diritti
metadata only access
Soggetti
  • Compact Semigroup

  • ODE

  • Parabolic Equation

  • Periodic Solution

  • Spectral Propertie

  • Topological Degree

  • Statistical and Nonli...

  • Mathematics (all)

Scopus© citazioni
0
Data di acquisizione
Jun 2, 2022
Vedi dettagli
Web of Science© citazioni
0
Data di acquisizione
Mar 25, 2024
Visualizzazioni
2
Data di acquisizione
Apr 19, 2024
Vedi dettagli
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