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Existence for continuous nonoscillatory solutions of second-order nonlinear difference equations with continuous variable - MaRDI portal

Existence for continuous nonoscillatory solutions of second-order nonlinear difference equations with continuous variable (Q2467144)

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Existence for continuous nonoscillatory solutions of second-order nonlinear difference equations with continuous variable
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    Existence for continuous nonoscillatory solutions of second-order nonlinear difference equations with continuous variable (English)
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    18 January 2008
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    By means of a fixed point theorem, the author obtains some sufficient conditions for the existence of nonoscillatory solutions of second-order nonlinear difference equations of the type \(\triangle^2_\tau x(t)+f(t,x(t-\sigma))=0, \quad t\geq t_0.\)
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    Schauder-Tikhonov fixed point theorem
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    nonoscillation
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    nonlinear delayed difference equations
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