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Existence of periodic solutions for a fourth-order -Laplacian equation with a deviating argument

✍ Scribed by Shiping Lu; Shan Jin


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
529 KB
Volume
230
Category
Article
ISSN
0377-0427

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✦ Synopsis


In this paper, we study the existence of periodic solutions for a fourth-order p-Laplacian differential equation with a deviating argument as follows:

Under various assumptions, the existence of periodic solutions of the problem is obtained by applying Mawhin's continuation theorem.


πŸ“œ SIMILAR VOLUMES


Existence of periodic solutions for a Li
✍ Fabao Gao; Shiping Lu πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 539 KB

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 Ξ²(t) and the deviating argument Ο„ (t, |x| ∞ ), is obtained. It is significant that the growth degree with respect to the variable x