Email this article Multipoint Problem for a System of Hyperbolic Equations with Mixed Derivative
- Authors: Asanova A.T.1
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Affiliations:
- Institute of Mathematics and Mathematical Modeling, Kazakhstan Ministry of Education and Science
- Issue: Vol 212, No 3 (2016)
- Pages: 213-233
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/236998
- DOI: https://doi.org/10.1007/s10958-015-2660-6
- ID: 236998
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Abstract
We consider a multipoint problem with data lying on the characteristics of a system of hyperbolic equations of the second order with two independent variables. We introduce new unknown functions and reduce the problem to an equivalent problem formed by a family of multipoint problems for systems of ordinary differential equations and functional relations. We establish conditions for the existence of a unique solution in terms of the coefficients of multipoint problems.
About the authors
A. T. Asanova
Institute of Mathematics and Mathematical Modeling, Kazakhstan Ministry of Education and Science
Author for correspondence.
Email: anarasanova@list.ru
Kazakhstan, 125 Pushkin Str., Alma-Ata, 050010
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