A new fixed point theorem and periodic solutions of nonconservative weakly coupled systems

A new fixed point theorem and periodic solutions of nonconservative weakly coupled systems

In this paper, we prove a new fixed point theorem for the coupling of twist conditions and Poincaré–Bohl type conditions, as its applications we prove the existence of periodic solutions for various nonconservative mixed type weakly coupled systems.

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Veröffentlicht in:Nonlinear analysis 2020-03, Vol.192, p.111668, Article 111668
Hauptverfasser: Liu, Chunlian, Qian, Dingbian
Format: Artikel
Sprache:eng
Schlagworte:
Coupled system
Fixed point theorem
Fixed points (mathematics)
Nonconservative
Periodic solutions
Theorems
Topological degree
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Beschreibung
Zusammenfassung:In this paper, we prove a new fixed point theorem for the coupling of twist conditions and Poincaré–Bohl type conditions, as its applications we prove the existence of periodic solutions for various nonconservative mixed type weakly coupled systems.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2019.111668