On the existence of a unique periodic solution to a Liénard type p-Laplacian non-autonomous equation

Autor:	Yong Wang, Xiao-Xu Xia, Xian-Zhi Dai
Rok vydání:	2009
Předmět:	Pure mathematics Section (category theory) Liénard equation Applied Mathematics Mathematical analysis p-Laplacian Continuation theorem Uniqueness Type (model theory) Laplace operator Analysis Mathematics
Zdroj:	Nonlinear Analysis: Theory, Methods & Applications. 71:275-280
ISSN:	0362-546X
DOI:	10.1016/j.na.2008.10.066
Popis:	In this work, we investigate the following Lienard type p -Laplacian non-autonomous equation: ( φ p ( x ′ ( t ) ) ) ′ + f ( x ( t ) ) x ′ ( t ) + g ( t , x ( t ) ) = e ( t ) . Some criteria for guaranteeing the existence and uniqueness of periodic solutions of this equation are given by using the Manasevich–Mawhin continuation theorem and some new techniques. Our results are new and extend some known results from the literature. In the last section, two illustrative examples will be provided to demonstrate the applications of our results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::842b41782f648749b397f7d77ccc4720 https://doi.org/10.1016/j.na.2008.10.066 Zobrazit plný text záznamu Full Text from ScienceDirect