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Asymptotic stability of the solutions of a linear singularity perturbed system with unbounded delay - MaRDI portal

Asymptotic stability of the solutions of a linear singularity perturbed system with unbounded delay (Q2644836)

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Asymptotic stability of the solutions of a linear singularity perturbed system with unbounded delay
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    Asymptotic stability of the solutions of a linear singularity perturbed system with unbounded delay (English)
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    1991
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    Questions of asymptotic stability of a linear singularly perturbed system of differential equations with unbounded delay are studied. Sufficient conditions for regular degeneration of this system are found. As a main result it is proved that for any locally Lipschitz initial function the initial value problem for the system degenerates regularly.
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    asymptotic stability
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    linear singularly perturbed system of differential equations with unbounded delay
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    regular degeneration
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