Periodic solutions of superlinear and sublinear state-dependent discontinuous differential equations
type: Item
instance of: scholarly article
title: Periodic solutions of superlinear and sublinear state-dependent discontinuous differential equations
zbMATH Open document ID: 1492.34041
DOI: 10.12775/TMNA.2021.016
author: José Manuel Uzal
author: Juan J. Nieto
published in: Topological Methods in Nonlinear Analysis
publication date: 2022-02-15T00:00:00Z
review text: The main object of investigation is a second-order differential equation with state-dependent impulses at both the position and its derivative, i.e., the times of impulsive effect change depending on the solution. The aim is to study the existence of periodic solutions of the given equations. The base of study is the Poincaré map and some fixed point theorems, such as a partial extension of the classic Poincaré-Birkhoff twist theorem or the well-known Poincaré-Bohl theorem.
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 34A36
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 7473902
zbMATH Keywords: differential equation with impulses
zbMATH Keywords: periodic solutions
zbMATH Keywords: twist fixed point theorem
Wikidata QID: Q115239560
reviewed by: Snezhana Hristova
MaRDI profile type: Publication
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full work available at URL: tmna.2021.016
OpenAlex ID: W3199564602
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description: scientific article; zbMATH DE number 7473902