You can manage bookmarks using lists, please log in to your user account for this.
Media type:
E-Article
Title:
Solving Becker’s Problem on Periodic Solutions of Parabolic Evolution Equations
Contributor:
Vidossich, Giovanni
Published:
Walter de Gruyter GmbH, 2018
Published in:
Advanced Nonlinear Studies, 18 (2018) 2, Seite 195-215
Language:
English
DOI:
10.1515/ans-2017-6047
ISSN:
1536-1365;
2169-0375
Origination:
Footnote:
Description:
AbstractWe 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.