On the method of Lyapunov functionals for a linear first-order Volterra integrodifferential equation with delay on the semiaxis (Q6076550)

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scientific article; zbMATH DE number 7741296
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On the method of Lyapunov functionals for a linear first-order Volterra integrodifferential equation with delay on the semiaxis
scientific article; zbMATH DE number 7741296

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    On the method of Lyapunov functionals for a linear first-order Volterra integrodifferential equation with delay on the semiaxis (English)
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    21 September 2023
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    The authors use Lyapunov functionals to analyse a class of linear first-order Volterra integro-differential equations (with delay), and obtain sufficient conditions to describe the asymptotic behavior, boundedness and integrability of its solutions. There are no formal proofs, just sketches and ideas.
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    Volterra integro-differential equation
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    delay
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    estimation
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    boundedness
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    absolute integrability
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    Lyapunov functionals
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