Article Contents
Article Contents

# Exponential stability of the wave equation with boundary time-varying delay

• We consider the wave equation with a time-varying delay term in the boundary condition in a bounded and smooth domain $\Omega\subset\RR^n.$ Under suitable assumptions, we prove exponential stability of the solution. These results are obtained by introducing suitable energies and suitable Lyapunov functionals. Such analysis is also extended to a nonlinear version of the model.
Mathematics Subject Classification: 35L05, 93D15.

 Citation:

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