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

Existence and uniqueness of periodic solutions for Rayleigh type \(p\)-Laplacian equation (Q843163)

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scientific article; zbMATH DE number 5608848
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Existence and uniqueness of periodic solutions for Rayleigh type \(p\)-Laplacian equation
scientific article; zbMATH DE number 5608848

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    Existence and uniqueness of periodic solutions for Rayleigh type \(p\)-Laplacian equation (English)
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    29 September 2009
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    The Rayleigh type p-Laplacian equation of the form \[ (\varphi_{p} (x' (t)))^\prime + f ( t,x' (t)) + g(t,x(t)) = e(t) \] is considered. Existence and uniqueness of T-periodic solutions for this equation are proved. A numerical example is given.
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    \(p\)-Laplacian
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    Rayleigh equation
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    periodic solution
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