Estimates for solutions and attraction domains of the zero solution to systems of quasi-linear equations of neutral type (Q6554823)

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scientific article; zbMATH DE number 7864606
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Estimates for solutions and attraction domains of the zero solution to systems of quasi-linear equations of neutral type
scientific article; zbMATH DE number 7864606

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    Estimates for solutions and attraction domains of the zero solution to systems of quasi-linear equations of neutral type (English)
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    13 June 2024
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    In this paper, the author studies a class of systems of differential equations of neutral type. She obtains attraction domains of the zero solution and establishes estimates of exponential decay at infinity for solutions. In particular, asymptotic stability of the zero solution follows from these estimates. These results are derived by the use of a modified Lyapunov-Krasovskii functional.
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    systems of quasi-linear equations of neutral type
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    asymptotic stability
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    attraction domains
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    uniform estimates for solutions
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    modified Lyapunov-Krasovskii functional
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