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Existence of periodic solutions for a Liénard type p-Laplacian differential equation with a deviating argument

✍ Scribed by Fabao Gao; Shiping Lu

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 539 KB
Volume: 69
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2007.11.029

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✦ Synopsis

By means of Mawhin's continuation theorem, a class of p-Laplacian type differential equation with a deviating argument of the form

is studied. A new result, related to β(t) and the deviating argument τ (t, |x| ∞ ), is obtained. It is significant that the growth degree with respect to the variable x in g(t, x) is allowed to be greater than p -1, which could be achieved infrequently in previous papers.

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