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On the Behavior of Solutions of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients. The Principle of the Limiting Amplitude.
- Source :
- Lobachevskii Journal of Mathematics; Aug2024, Vol. 45 Issue 8, p3548-3558, 11p
- Publication Year :
- 2024
-
Abstract
- This paper considers the Cauchy problem for a second-order hyperbolic equation with periodic coefficients and zero initial data, and the right-hand side of the equation is the function , . For this problem, the limiting amplitude principle and the asymptotic behavior as are established. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 19950802
- Volume :
- 45
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Lobachevskii Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 181064696
- Full Text :
- https://doi.org/10.1134/S1995080224604326