Behavior as t → ∞ of Solutions of a Mixed Problem for a Hyperbolic Equation with Periodic Coefficients on the Semi-Axis

Autor:	Hovik A. Matevossian, Vladimir Yu. Smirnov
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	asymptotic behavior hyperbolic equation periodic coefficients initial boundary value problem Schrödinger operator Mathematics QA1-939
Zdroj:	Symmetry, Vol 15, Iss 3, p 777 (2023)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym15030777
Popis:	In this paper, we consider the asymptotic behavior (as t→∞) of solutions as an initial boundary value problem for a second-order hyperbolic equation with periodic coefficients on the semi-axis (x>0). 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 Schrödinger operator H0 with periodic coefficients p(x) and q(x).
Databáze:	Directory of Open Access Journals
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