Asymptotic Behavior of Solutions of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients II

Autor:	Hovik A. Matevossian, Maria V. Korovina, Vladimir A. Vestyak
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	asymptotic behavior of solutions second-order hyperbolic equation periodic coefficients Cauchy problem Hill operator Mathematics QA1-939
Zdroj:	Axioms, Vol 11, Iss 9, p 473 (2022)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms11090473
Popis:	The paper is devoted to studying the behavior of solutions of the Cauchy problem for large values of time—more precisely, obtaining an asymptotic expansion characterizing the behavior of the solution of the Cauchy problem for a one-dimensional second-order hyperbolic equation with periodic coefficients for large values of the time parameter t. To obtain this asymptotic expansion as t→∞, methods of the spectral theory of differential operators are used, as well as the properties of the spectrum of a non-positive Hill operator with periodic coefficients.
Databáze:	Directory of Open Access Journals
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