
doi: 10.11948/2017077
Summary: A strongly damped wave equation involving a delay of neutral type in its second order derivative is considered. It is proved that solutions decay to zero exponentially despite the fact that delays are, in general, sources of instability.
modified energy, Asymptotic behavior of solutions to PDEs, Partial functional-differential equations, multiplier technique, neutral delay, exponential decay, Initial-boundary value problems for second-order hyperbolic equations, stability, Neutral functional-differential equations
modified energy, Asymptotic behavior of solutions to PDEs, Partial functional-differential equations, multiplier technique, neutral delay, exponential decay, Initial-boundary value problems for second-order hyperbolic equations, stability, Neutral functional-differential equations
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