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Existence and uniqueness of periodic solutions for a p-Laplacian Duffing equation with a deviating argument

✍ Scribed by Fabao Gao; Shiping Lu; Wei Zhang

Book ID
108216114
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
503 KB
Volume
70
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Existence of periodic solutions for a fo
Existence of periodic solutions for a fourth-order -Laplacian equation with a deviating argument
✍ Shiping Lu; Shan Jin πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 529 KB

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.

Existence of periodic solutions for a Li
Existence of periodic solutions for a LiΓ©nard type p-Laplacian differential equation with a deviating argument
✍ 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