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Floquet theory and stability for a class of first order differential equations with delays - MaRDI portal

Floquet theory and stability for a class of first order differential equations with delays (Q6620598)

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scientific article; zbMATH DE number 7927956
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Floquet theory and stability for a class of first order differential equations with delays
scientific article; zbMATH DE number 7927956

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    Floquet theory and stability for a class of first order differential equations with delays (English)
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    17 October 2024
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    In this work, a version of the Floquet theory for first order delay differential equations is proposed and formula of solutions representation is obtained. Moreover, the stability of first order delay differential equations is studied. In addition, an analogue of the classical integral Lyapunov-Zhukovskii test of stability is proved and tests of the exponential stability are obtained on the basis of the Floquet theory.
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    Floquet theory
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    delay differential equations
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    exponential stability
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    comparison theorems
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    periodic coefficients and delays
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