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Behavior of solutions of difference equations - MaRDI portal

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Behavior of solutions of difference equations (Q2918866)

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scientific article; zbMATH DE number 6089082
Language Label Description Also known as
English
Behavior of solutions of difference equations
scientific article; zbMATH DE number 6089082

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    1 October 2012
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    asymptotic behavior
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    periodic solution
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    first order nonlinear difference equation
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    Behavior of solutions of difference equations (English)
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    Under some conditions, the authors discuss the asymptotic behavior and the existence of a periodic solution of the first order nonlinear difference equation with an initial condition \(\Delta x(t) = F(t, x(t))\), \(x(t_0) = x_0\). A fixed point theorem in an ordered set is used in the discussion of the existence of periodic solution.
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