Mixed Problem with an Integral Condition for the One-Dimensional Biwave Equation

We consider a mixed problem for the one-dimensional biwave equation with boundary conditions and a nonlocal integral condition. We prove the existence and uniqueness of the classical solution of the problem and obtain an analytic representation of the solution.

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Bibliographic Details
Published in:	Differential equations Vol. 54; no. 6; pp. 799 - 810
Main Authors:	Korzyuk, V. I., Vinh, N. V.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01-06-2018 Springer Springer Nature B.V
Subjects:	Difference and Functional Equations Differential equations Integrals Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
Online Access:	Get full text
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Description
Summary:	We consider a mixed problem for the one-dimensional biwave equation with boundary conditions and a nonlocal integral condition. We prove the existence and uniqueness of the classical solution of the problem and obtain an analytic representation of the solution.
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S0012266118060083