An Operator Method for the Stability of Inhomogeneous Wave Equations
Abstract
:1. Introduction
2. Preliminaries
- (i)
- exists for each ;
- (ii)
- exists for any .Moreover, assume that is a function such that:
- (iii)
- exists.
3. Main Results
4. Discussions
Author Contributions
Funding
Conflicts of Interest
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Theorem 1 | X | t | a | b | |||||
---|---|---|---|---|---|---|---|---|---|
(17) | r | 0 | c |
Theorem 1 | X | t | a | b | |||||
---|---|---|---|---|---|---|---|---|---|
(20) | r | 0 | c | 0 | (20) |
Theorem 1 | X | t | a | b | |||||
---|---|---|---|---|---|---|---|---|---|
(33) | r | c | ∞ |
Theorem 1 | X | t | a | b | |||||
---|---|---|---|---|---|---|---|---|---|
(35) | r | c | ∞ | 0 | (35) |
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Choi, G.; Jung, S.-M.; Roh, J. An Operator Method for the Stability of Inhomogeneous Wave Equations. Symmetry 2019, 11, 324. https://doi.org/10.3390/sym11030324
Choi G, Jung S-M, Roh J. An Operator Method for the Stability of Inhomogeneous Wave Equations. Symmetry. 2019; 11(3):324. https://doi.org/10.3390/sym11030324
Chicago/Turabian StyleChoi, Ginkyu, Soon-Mo Jung, and Jaiok Roh. 2019. "An Operator Method for the Stability of Inhomogeneous Wave Equations" Symmetry 11, no. 3: 324. https://doi.org/10.3390/sym11030324