Homoclinic solutions for a class of second-order \(p\)-Laplacian differential systems with delay
type: Item
instance of: scholarly article
title: Homoclinic solutions for a class of second-order \(p\)-Laplacian differential systems with delay
zbMATH Open document ID: 1216.34063
author: Shiping Lu
published in: Nonlinear Analysis. Real World Applications
publication date: 2010-12-14T00:00:00Z
review text: The author considers a class of second-order \(p\)-Laplacian systems with delay. By means of an extension of Mawhin's continuation theorem, some sufficient conditions for the existence of a set with \(2k\)T-periodic solutions of the addressed systems are obtained. In addition, a homoclinic solution is also obtained as a limit of a certain subsequence of the above set. The methods used in this paper are different from the approach in the literature. Moreover, the results in this paper are delay-dependent.
reviewed by: Xiaodi Li
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 34K10
zbMATH DE Number: 5826337
zbMATH Keywords: homoclinic solution
zbMATH Keywords: periodic solution
zbMATH Keywords: differential equation with delay
zbMATH Keywords: extension of Mawhin's continuation theorem
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2010.08.005
OpenAlex ID: W2058632499
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DOI: 10.1016/J.NONRWA.2010.08.005
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description: scientific article; zbMATH DE number 5826337