Stability and Boundedness of Solutions to Nonautonomous Parabolic Integrodifferential Equations

Author

Gil', Michael

Source

Mathematical Problems in Engineering

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-05-23

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Civil Engineering

Abstract EN

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.

American Psychological Association (APA)

Gil', Michael. 2016. Stability and Boundedness of Solutions to Nonautonomous Parabolic Integrodifferential Equations. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1111878

Modern Language Association (MLA)

Gil', Michael. Stability and Boundedness of Solutions to Nonautonomous Parabolic Integrodifferential Equations. Mathematical Problems in Engineering No. 2016 (2016), pp.1-6.
https://search.emarefa.net/detail/BIM-1111878

American Medical Association (AMA)

Gil', Michael. Stability and Boundedness of Solutions to Nonautonomous Parabolic Integrodifferential Equations. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1111878

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1111878