Abstract
Of concern is a wave equation with a distributed neutral delay. We prove that, despite the destructive nature of delays in general, solutions may go back to the equilibrium state in an exponential manner as time goes to infinity. Reasonable conditions on the distributed neutral delay are established. This type of problems appear in the study of wave propagation in viscoelastic media and in acoustic wave propagation. It is not well studied so far.
| Original language | English |
|---|---|
| Pages (from-to) | 2401-2412 |
| Number of pages | 12 |
| Journal | Mathematische Nachrichten |
| Volume | 290 |
| Issue number | 14-15 |
| DOIs | |
| State | Published - Oct 2017 |
Bibliographical note
Publisher Copyright:© 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Keywords
- 34K40
- 35L05
- exponential decay
- modified energy
- multiplier technique
- neutral delay
- stability
ASJC Scopus subject areas
- General Mathematics
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