Asymptotic Behavior of Solutions of the Initial Boundary Value Problem for a Hyperbolic Equation with Periodic Coefficients on the Semi-Axis

被引：3

作者：

Matevossian, H. A. ^{[1
]}

Nordo, G. ^{[2
]}

机构：

[1] Natl Res Univ MAI, Moscow Aviat Inst, Moscow 125993, Russia

[2] Univ Messina, Dipartimento Sci Matemat & Informat, Sci Fis & Sci Terra, I-98166 Messina 31, Italy

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2023年 / 44卷 / 06期

关键词：

asymptotic behavior; hyperbolic equation; periodic coefficients; initial boundary value problem; Schrodinger operator; CAUCHY-PROBLEM;

D O I：

10.1134/S1995080223060367

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the asymptotic behavior (as ) 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 of the one-dimensional Schrodinger operator , when the left end of the spectrum of this operator is negative.

引用

页码：2398 / 2412

页数：15

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