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Global attractivity and oscillation in a nonlinear periodic delay difference equation - MaRDI portal

Global attractivity and oscillation in a nonlinear periodic delay difference equation (Q1827154)

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scientific article; zbMATH DE number 2082205
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Global attractivity and oscillation in a nonlinear periodic delay difference equation
scientific article; zbMATH DE number 2082205

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    Global attractivity and oscillation in a nonlinear periodic delay difference equation (English)
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    6 August 2004
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    The authors investigate the periodic logistic delay difference equation of the form \[ x_{n+1} = x_{n}\exp[a_n + b_nx^p_{n -m\omega} - c_nx^q_{n-m\omega}], \quad n = 1,\ldots. \] Sufficient conditions of the global attractivity and oscillation about the periodic solution are obtained.
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    discrete equations
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    periodic solutions
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    global attractivity
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    oscillations
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    periodic logistic delay difference equation
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