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Exponential decay for a neutral wave equation. (English) Zbl 1447.35065

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.

MSC:

35B40 Asymptotic behavior of solutions to PDEs
35R10 Partial functional-differential equations
35L20 Initial-boundary value problems for second-order hyperbolic equations
34K40 Neutral functional-differential equations
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