## Taiwanese Journal of Mathematics

### EXPONENTIAL STABILITY OF SOLUTIONS TO SEMILINEAR PARABOLIC EQUATIONS WITH DELAYS

#### Abstract

In this paper we prove the global existence and the global exponential stability of weak solutions to a class of semilinear parabolic equations with discrete and distributed time-varying delays. Moreover, the exponential stability of stationary solutions of the equations is also studied. The obtained results can be applied to some models in biology and physics.

#### Article information

Source
Taiwanese J. Math., Volume 16, Number 6 (2012), 2133-2151.

Dates
First available in Project Euclid: 18 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500406844

Digital Object Identifier
doi:10.11650/twjm/1500406844

Mathematical Reviews number (MathSciNet)
MR3001840

Zentralblatt MATH identifier
1261.35022

Subjects
Primary: 35B35: Stability 37L15: Stability problems

#### Citation

Anh, Cung The; Hien, Le Van. EXPONENTIAL STABILITY OF SOLUTIONS TO SEMILINEAR PARABOLIC EQUATIONS WITH DELAYS. Taiwanese J. Math. 16 (2012), no. 6, 2133--2151. doi:10.11650/twjm/1500406844. https://projecteuclid.org/euclid.twjm/1500406844

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