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On the existence of periodic solutions to a fourth-order -Laplacian differential equation with a deviating argument

✍ Scribed by Zhengxin Wang; Longxia Qian; Shiping Lu

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
310 KB
Volume
11
Category
Article
ISSN
1468-1218

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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

Almost periodic solutions for a class of
Almost periodic solutions for a class of fourth-order nonlinear differential equations with a deviating argument
✍ Wanmin Xiong; Guangxue Yue πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 288 KB

This paper considers the fourth-order nonlinear differential equations with a deviating argument. Sufficient conditions for the existence and exponential stability of the almost periodic solutions are established, which are new and complement previously known results.