Infinitely many solutions for second-order impulsive differential inclusions with relativistic operator
type: Item
instance of: scholarly article
title: Infinitely many solutions for second-order impulsive differential inclusions with relativistic operator
zbMATH Open document ID: 1484.34071
author: Suiming Shang
author: Yu Tian
author: Zhanbing Bai
author: Yue Yue
published in: Qualitative Theory of Dynamical Systems
publication date: 2021-06-30T00:00:00Z
review text: Impulsive differential inclusions are widely applied to physics, population dynamics, ecology, industrial robotics, biotechnology and economics and so forth. In this paper, a boundary value problem of a second-order impulsive differential inclusion involving a relativistic operator is studied. Infinitely many nonnegative solutions are obtained by using non-smooth critical point theorem for locally Lipschitz functionals. Examples are presented to illustrate the theoretical results.
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 58E50
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 7365497
zbMATH Keywords: impulsive differential inclusion
zbMATH Keywords: relativistic operator
zbMATH Keywords: infinitely many solutions
zbMATH Keywords: non-smooth critical point theory
zbMATH Keywords: locally Lipschitz functionals
reviewed by: Natalia V. Skripnik
MaRDI profile type: Publication
full work available at URL: s12346-021-00481-x
OpenAlex ID: W3163624335
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DOI: 10.1007/S12346-021-00481-X
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description: scientific article; zbMATH DE number 7365497