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Existence of periodic solutions to a -Laplacian Liénard differential equation with a deviating argument

✍ Scribed by Shiping Lu


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
217 KB
Volume
68
Category
Article
ISSN
0362-546X

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Existence of periodic solutions for a Li
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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

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In this paper, the Liénard equation with a deviating argument is studied. By applying the coincidence degree theory, we obtain some new results on the existence and uniqueness of T -periodic solutions to this equation. Our results improve and extend some existing ones in the literature.