Periodic Solutions of Second-Order Differential Equations in Hilbert Spaces

被引：7

作者：

Fonda, Alessandro ^{[1
]}

Klun, Giuliano ^{[2
]}

Sfecci, Andrea ^{[1
]}

机构：

[1] Univ Trieste, Dipartimento Matemat & Geosci, Ple Europa 1, I-34127 Trieste, Italy

[2] Scuola Internazl Super Studi Avanzati, Via Bonomea 265, I-34136 Trieste, Italy

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2021年 / 18卷 / 05期

关键词：

Periodic solutions; lower and upper solutions; degree theory; infinite-dimensional dynamical systems; BOUNDARY-VALUE-PROBLEMS; SYSTEMS;

D O I：

10.1007/s00009-021-01857-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of periodic solutions of some infinite-dimensional systems by the use of the lower/upper solutions method. Both the well-ordered and non-well-ordered cases are treated, thus generalizing to systems some well-established results for scalar equations.

引用

页数：26

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