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Uniqueness of periodic solution for a class of Liénard \(p\)-Laplacian equations - MaRDI portal

Uniqueness of periodic solution for a class of Liénard \(p\)-Laplacian equations (Q978534)

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scientific article; zbMATH DE number 5726170
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Uniqueness of periodic solution for a class of Liénard \(p\)-Laplacian equations
scientific article; zbMATH DE number 5726170

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    Uniqueness of periodic solution for a class of Liénard \(p\)-Laplacian equations (English)
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    25 June 2010
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    Periodic solutions of a generalized Liénard equation are studied. A peculiar condition is introduced in Lemma 2.2 in order to have the uniqueness of such a solution. The existence results involve nonlinearities which, roughly speaking, lie below the first eigenvalue, even if the statements of Theorem 3.1 and Theorem 3.2 are not very precise.
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