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Existence theorems of periodic solutions for second-order difference equations containing both advance and retardation - MaRDI portal

Existence theorems of periodic solutions for second-order difference equations containing both advance and retardation (Q2631002)

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Existence theorems of periodic solutions for second-order difference equations containing both advance and retardation
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    Existence theorems of periodic solutions for second-order difference equations containing both advance and retardation (English)
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    28 July 2016
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    Consider the second-order nonlinear difference equation of the form: \[ \Delta (p_{n}(\Delta u_{n-1})^{\delta})+f(n,u_{n+M},u_{n},u_{n-M})=0,\;n\in\mathbb{Z}. \] Conditions for the existence of periodic solutions are established. Two examples illustrating the results are given.
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    existence
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    periodic solution
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    second-order nonlinear difference equation
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    discrete variational theory
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