Asymptotic behavior of the solutions of a discrete reaction-diffusion equation (Q1607842)

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scientific article; zbMATH DE number 1780339
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Asymptotic behavior of the solutions of a discrete reaction-diffusion equation
scientific article; zbMATH DE number 1780339

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    Asymptotic behavior of the solutions of a discrete reaction-diffusion equation (English)
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    13 August 2002
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    By means of Bihari type inequalities, the authors derive sufficient conditions for solutions of a discrete reaction-diffusion equation to be bounded or to converge to zero. Asymptotic representation of solutions is also obtained. The results yield estimates and explicit attractive regions for the solutions.
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    discrete reaction-diffusion equations
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    asymptotic behavior
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    bounded solution
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    convergence
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    Bihari type inequalities
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    attractive regions
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