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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.

Authors :
Ishkhanyan, A. M.
Matevossian, H. A.
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