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Existence and uniqueness of periodic solutions for a class of nonlinear equations with \(p\)-Laplacian-like operators - MaRDI portal

Existence and uniqueness of periodic solutions for a class of nonlinear equations with \(p\)-Laplacian-like operators (Q978532)

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scientific article; zbMATH DE number 5726168
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Existence and uniqueness of periodic solutions for a class of nonlinear equations with \(p\)-Laplacian-like operators
scientific article; zbMATH DE number 5726168

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    Existence and uniqueness of periodic solutions for a class of nonlinear equations with \(p\)-Laplacian-like operators (English)
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    25 June 2010
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    The authors prove an existence and uniqueness result for periodic solutions of differential equations involving a scalar \(p\)-Laplacian-like operator, where the nonlinearity, roughly speaking, lies below the first eigenvalue. The proof uses a topological degree approach.
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    periodic solutions
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    nonlinear equations
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    \(p\)-Laplacian
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