In this paper, we consider the asymptotic behavior (as t→∞) of solutions to the initial boundary value problem for a second-order hyperbolic equation with periodic coefficients on the semi-axis. The main approach to studying the problem under consideration is based on the spectral theory of differential operators, as well as on the properties of the spectrum σ(H0) of the one-dimensional Schro¨ dinger operatorH0, when the left end of the spectrum of this operator is negative.
Asymptotic Behavior of Solutions of the Initial Boundary Value Problem for a Hyperbolic Equation with Periodic Coefficients on the Semi-Axis
G. NordoSecondo
Investigation
2023-01-01
Abstract
In this paper, we consider the asymptotic behavior (as t→∞) of solutions to the initial boundary value problem for a second-order hyperbolic equation with periodic coefficients on the semi-axis. The main approach to studying the problem under consideration is based on the spectral theory of differential operators, as well as on the properties of the spectrum σ(H0) of the one-dimensional Schro¨ dinger operatorH0, when the left end of the spectrum of this operator is negative.File in questo prodotto:
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Asymptotic Behavior of Solutions of the Initial Boundary Value Problem for a Hyperbolic Equation with Periodic Coefficients on the Semi-Axis.pdf
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