Abstract
This paper is concerned with the asymptotic behavior analysis of solutions to a multidimensional wave equation. Assuming that there is no displacement term in the system and taking into consideration the presence of distributed or discrete time delay, we show that the solutions exponentially converge to their stationary state. The proof mainly consists in utilizing the resolvent method. The approach adopted in this work is also used to other physical systems.
| Original language | English |
|---|---|
| Pages (from-to) | 4584-4605 |
| Number of pages | 22 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 42 |
| Issue number | 13 |
| DOIs | |
| State | Published - 15 Sep 2019 |
Bibliographical note
Publisher Copyright:© 2019 John Wiley & Sons, Ltd.
Keywords
- distributed time-time delay
- exponential convergence
- long time behavior
- resolvent method
- wave equation
ASJC Scopus subject areas
- General Mathematics
- General Engineering
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