Stability and Boundedness of Solutions to Nonautonomous Parabolic Integrodifferential Equations

Michael Gil

doi:10.1155/2016/2468458

Stability and Boundedness of Solutions to Nonautonomous Parabolic Integrodifferential Equations

Michael Gil

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We consider a class of linear nonautonomous parabolic integrodifferential equations. We will assume that the coefficients are slowly varying in time. Conditions for the boundedness and stability of solutions to the considered equations are suggested. Our results are based on a combined usage of the recent norm estimates for operator functions and theory of equations on the tensor product of Hilbert spaces.

Original language	English
Article number	2468458
Journal	Mathematical Problems in Engineering
Volume	2016
DOIs	https://doi.org/10.1155/2016/2468458
State	Published - 1 Jan 2016

ASJC Scopus subject areas

General Mathematics
General Engineering

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abstract = "We consider a class of linear nonautonomous parabolic integrodifferential equations. We will assume that the coefficients are slowly varying in time. Conditions for the boundedness and stability of solutions to the considered equations are suggested. Our results are based on a combined usage of the recent norm estimates for operator functions and theory of equations on the tensor product of Hilbert spaces.",

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AB - We consider a class of linear nonautonomous parabolic integrodifferential equations. We will assume that the coefficients are slowly varying in time. Conditions for the boundedness and stability of solutions to the considered equations are suggested. Our results are based on a combined usage of the recent norm estimates for operator functions and theory of equations on the tensor product of Hilbert spaces.

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Stability and Boundedness of Solutions to Nonautonomous Parabolic Integrodifferential Equations

Abstract

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