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Existence and subharmonicity of solutions for nonlinear non-smooth periodic systems with a -Laplacian

โœ Scribed by Kai-Min Teng; Xian Wu


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
318 KB
Volume
68
Category
Article
ISSN
0362-546X

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โœฆ Synopsis


In the present paper, we consider the nonlinear periodic systems driven by a vectorial p-Laplacian with a locally Lipschitz nonlinearity. Some existence, multiplicity and subharmonic results are obtained by using non-smooth critical point theory.


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โœ Shiping Lu; Shan Jin ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.