Boundary value problems for a weakly loaded operator of a second-order hyperbolic equation in a cylindrical domain

By using methods of functional analysis, we prove the existence and uniqueness, in appropriate function spaces, of solutions of boundary value problems for a second-order linear hyperbolic equation weakly loaded by a differential operator. The order of the operator in the loaded term with respect to...

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Bibliographic Details
Published in:	Differential equations Vol. 51; no. 12; pp. 1595 - 1606
Main Authors:	Korzyuk, V. I., Dzhenaliev, M. T., Kozlovskaya, I. S.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01-12-2015 Springer Nature B.V
Subjects:	Applied mathematics Boundary conditions Boundary value problems Derivatives Difference and Functional Equations Differential equations Euclidean space Function space Functional analysis Mathematical analysis Mathematical functions Mathematical models Mathematics Mathematics and Statistics Operators (mathematics) Ordinary Differential Equations Partial Differential Equations Studies Uniqueness Generalize Derivative Mixed Problem Strong Solution Arbitrary Function Hyperbolic Equation
Online Access:	Get full text
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Summary:	By using methods of functional analysis, we prove the existence and uniqueness, in appropriate function spaces, of solutions of boundary value problems for a second-order linear hyperbolic equation weakly loaded by a differential operator. The order of the operator in the loaded term with respect to its derivatives is equal to 2.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S0012266115120071