On the existence of a unique periodic solution to a Liénard type \(p\)-Laplacian non-autonomous equation (Q1021721)
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scientific article; zbMATH DE number 5563031
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of a unique periodic solution to a Liénard type \(p\)-Laplacian non-autonomous equation |
scientific article; zbMATH DE number 5563031 |
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On the existence of a unique periodic solution to a Liénard type \(p\)-Laplacian non-autonomous equation (English)
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9 June 2009
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A periodically forced scalar second order ordinary differential equation is considered. The differential operator is of the \(p\)-Laplacian type. Under some nonresonance conditions involving the ``first eigenvalue'', the authors prove the existence and the uniqueness of a periodic solution.
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\(p\)-Laplacian
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periodic solutions
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Liénard equation
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