A new fixed point theorem and periodic solutions of nonconservative weakly coupled systems. (March 2020)

• Record Type: Journal Article
• Authors: Liu, Chunlian; Qian, Dingbian
• Is Part Of: Nonlinear analysis. Volume 192(2020)
• Publication Date: 2020-03
• Subjects: 34B15 -- 34C15 -- 34C25 -- 47H10; Periodic solutions -- Nonconservative -- Coupled system -- Topological degree -- Fixed point theorem; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2019.111668
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: 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.