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Periodic solutions for -dimensional generalized Liénard type -Laplacian functional differential system

✍ Scribed by F.B. Gao; W. Zhang; S.K. Lai; S.P. Chen

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
556 KB
Volume
71
Category
Article
ISSN
0362-546X

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✦ Synopsis

We consider the n-dimensional generalized Liénard system

driven by the scalar p-Laplacian, C is an n × n symmetric matrix of constants.

Using the degree theory, we establish some criteria to guarantee the existence of periodic solutions for the above system, which generalize and improve on the corresponding results in the related literature.

📜 SIMILAR VOLUMES

Existence of periodic solutions for a Li
Existence of periodic solutions for a Liénard type p-Laplacian differential equation with a deviating argument
✍ Fabao Gao; Shiping Lu 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 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 β(t) and the deviating argument τ (t, |x| ∞ ), is obtained. It is significant that the growth degree with respect to the variable x