On the Volterra property of a boundary problem with integral gluing condition for a mixed parabolic-hyperbolic equation

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2013_bound_berdyshev_volterra.pdf (307.85 KB)
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URI: http://hdl.handle.net/10347/21775
ISSN: 1687-2770
DOI: 10.1186/1687-2770-2013-94

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2013

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Springer
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Abstract

In the present work, we consider a boundary value problem with gluing conditions of an integral form for the parabolic-hyperbolic type equation. We prove that the considered problem has the Volterra property. The main tools used in the work are related to the method of the integral equations and functional analysis.

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Strong Solution| Unique Solvability| Mixed Type Equation| Tricomi Problem| Hyperbolic Part

Bibliographic citation

Berdyshev, A.S., Cabada, A., Karimov, E.T. et al. On the Volterra property of a boundary problem with integral gluing condition for a mixed parabolic-hyperbolic equation. Bound Value Probl 2013, 94 (2013). https://doi.org/10.1186/1687-2770-2013-94

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This research was partially supported by Ministerio de Ciencia e Innovación-SPAIN, and FEDER, project MTM2010-15314 and KazNPU Rector’s grant for 2013

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© 2013 Berdyshev et al.; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

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Estatística, Análise Matemática e Optimización