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Existence and uniqueness of periodic solutions for a kind of Duffing type \(p\)-Laplacian equation - MaRDI portal

Existence and uniqueness of periodic solutions for a kind of Duffing type \(p\)-Laplacian equation (Q933566)

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scientific article; zbMATH DE number 5303264
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Existence and uniqueness of periodic solutions for a kind of Duffing type \(p\)-Laplacian equation
scientific article; zbMATH DE number 5303264

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    Existence and uniqueness of periodic solutions for a kind of Duffing type \(p\)-Laplacian equation (English)
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    21 July 2008
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    Existence and uniqueness of periodic solutions for a \(p\)-Laplace differential equation is proved under some monotonicity and sign conditions. The authors assume an additional one-sided growth condition which however does not seem necessary to get the required a priori bounds.
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    \(p\)-Laplacian
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    periodic solutions
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    Duffing equation
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    continuation theorem
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