Periodic solutions of second-order differential inclusions systems with \(p(t)\)-Laplacian
type: Item
instance of: scholarly article
title: Periodic solutions of second-order differential inclusions systems with \(p(t)\)-Laplacian
zbMATH Open document ID: 1261.34021
DOI: 10.1155/2012/475956
author: Liang Zhang
author: Peng Zhang
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: The existence of periodic solutions for nonautonomous second-order differential inclusion systems with \(p(t)\)-Laplacian is considered. We obtain existence results for periodic solutions of the system \[ (d/dt)(|\dot{u}(t)|^{p(t)-2}\dot{u}(t)) \in \partial F(t, u(t))\quad\text{a.e. }t \in [0, T], \] \[ u(0) - u(T) = \dot{u}(0) - \dot{u}(T) = 0 \] by using nonsmooth critical point theory. Our results generalize and improve some theorems in the literature.
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 58E50
zbMATH DE Number: 6134099
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/475956
OpenAlex ID: W1994784178
Wikidata QID: Q58695282
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description: scientific article; zbMATH DE number 6134099