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

被引：0

作者：

Vidossich, Giovanni ^{[1
]}

机构：

[1] SISSA, Via Bonomea 265, I-34136 Trieste, Italy

来源：

ADVANCED NONLINEAR STUDIES | 2018年 / 18卷 / 02期

关键词：

Compact Semigroups; Spectral Properties; Topological Degree; Periodic Solutions; Parabolic Equations; ODEs; DIFFERENTIAL-EQUATIONS; BANACH-SPACE;

D O I：

10.1515/ans-2017-6047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：195 / 215

页数：21

共 15 条

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