Stability in terms of two measures for difference equations (Q858795)

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scientific article; zbMATH DE number 5115402
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Stability in terms of two measures for difference equations
scientific article; zbMATH DE number 5115402

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    Stability in terms of two measures for difference equations (English)
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    11 January 2007
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    The authors establish new stability criteria in terms of two measures for difference equations via vector Lyapunov functions and a new comparison theorem by employing the concept of the upper quasi-monotone increasing of the function, which connect the solutions of two finite difference equations and a scalar one. An example is given to illustrate the results obtained.
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    difference equations
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    stability in terms of two measures,comparison theorem
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    vector Lyapunov functions
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    upper quasi-monotone
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