##### Title: Exponential Stability of the Heat Equation with Boundary Time-Varying Delays

##### Pages: 43-53

##### Cite as:

Mouataz Billah Mesmouli, Abdelouaheb Ardjouni, Ahcene Djoudi, Exponential Stability of the Heat Equation with Boundary Time-Varying Delays, Int. J. Anal. Appl., 11 (1) (2016), 43-53.#### Abstract

In this paper, we consider the heat equation with a time-varying delays term in the boundary condition in a bounded domain of Rn, the boundary Γ is a class C2 such that Γ = ΓD∪ΓN, with ΓD∩ ΓN = ∅, ΓD 6= ∅ and ΓN 6= ∅. Well-posedness of the problems is analyzed by using semigroup theory. The exponential stability of the problem is proved. This paper extends in n-dimensional the results of the heat equation obtained in [11].

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