Stability in Models with Long Memories

Jaroslav Milota
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Jaroslav Milota: Matematicko-fyzikální fakulta UK

A chapter in Biomathematics and Related Computational Problems, 1988, pp 523-527 from Springer

Abstract: Abstract A resolvent operator of a linear parabolic differential equation with infinite delay is used for investigation of asymptotic behaviour of a nonlinear equation. A method based on a variation of parameters formula yields sufficient conditions for asymptotic stability. A semigroup approach allows to examine a bifurcation of the Hopf type. As an example the Volterra population model with diffusion is treated.

Keywords: Asymptotic Stability; Mild Solution; Integrodifferential Equation; Volterra Equation; Resolvent Operator (search for similar items in EconPapers)
Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-2975-3_46

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DOI: 10.1007/978-94-009-2975-3_46

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