By using Manasevich-Mawhin continuation theorem and some analysis skill, we obtain some sufficient conditions for the existence and uniqueness of periodic solutions for Duffing type p-Laplacian differential equation.
β¦ LIBER β¦
Novel existence and uniqueness criteria for periodic solutions of a Duffing type p-Laplacian equation
β Scribed by Yong Wang
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 331 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
In this study, we investigate a Duffing type p-Laplacian equation. Some new criteria for guaranteeing the existence and uniqueness of periodic solutions of this equation are given by using the ManΓ‘sevich-Mawhin continuation theorem and some analysis techniques.
Our results improve and extend some known results from the literature.
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In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T -periodic solutions for a kind of Duffing equation with two deviating arguments of the form