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Periodic solutions for a kind of Duffing type \(p\)-Laplacian neutral equation - MaRDI portal

Periodic solutions for a kind of Duffing type \(p\)-Laplacian neutral equation (Q973819)

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scientific article; zbMATH DE number 5712222
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Periodic solutions for a kind of Duffing type \(p\)-Laplacian neutral equation
scientific article; zbMATH DE number 5712222

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    Periodic solutions for a kind of Duffing type \(p\)-Laplacian neutral equation (English)
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    26 May 2010
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    By means of a generalized Mawhin's continuation theorem due to \textit{W. Ge} and \textit{J. Ren} [Nonlinear Anal., Theory Methods Appl. 58, No.~3--4 (A), 477--488 (2004; Zbl 1074.34014)], the authors present some sufficient conditions for the existence of at least one \(T\)-periodic solution to a \(p\)-Laplacian neutral functional differential equation with multiple deviating arguments. An illustrative example is also included.
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    generalized Mawhin's continuation theorem
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    periodic solution
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    \(p\)-Laplacian
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    neutral functional differential equations
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