Novel existence and uniqueness criteria for periodic solutions of a Duffing type \(p\)-Laplacian equation (Q963827)
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scientific article; zbMATH DE number 5692729
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Novel existence and uniqueness criteria for periodic solutions of a Duffing type \(p\)-Laplacian equation |
scientific article; zbMATH DE number 5692729 |
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Novel existence and uniqueness criteria for periodic solutions of a Duffing type \(p\)-Laplacian equation (English)
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14 April 2010
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The author proves an existence result for periodic solutions of a scalar ordinary differential equation involving the \(p\)-Laplacian, thus improving a result by \textit{R. Manasevich} and \textit{J. Mawhin} [J. Differ. Equations 145, No.~2, 367--393 (1998; Zbl 0910.34051)]. Roughly speaking, the nonlinearity is assumed to stay below the first eigenvalue. An uniqueness result is also obtained, under some monotonicity assumptions.
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\(p\)-Laplacian
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periodic solutions
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0.9647673
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0.9474615
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0.94649565
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0.9416877
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