On the Volterra property of a boundary problem with integral gluing condition for a mixed parabolic-hyperbolic equation-Reference-Cited by-同舟云学术

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

Published:2013-04-18 Issue:1 Volume:2013 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Berdyshev Abdumauvlen S,Cabada Alberto,Karimov Erkinjon T,Akhtaeva Nazgul S

Abstract

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.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/1687-2770-2013-94.pdf

Reference35 articles.

1. Chaplygin, SA: On gas streams. Dissertation, Moscow (1902) (in Russian)

2. Tricomi F: Sulle equazioni lineari alle derivate parzialli di secondo ordine, di tipo misto. Rendicotti, Atti dell’ Accademia Nazionale del Lincel, Series 5 1923, 14: 134-247.

3. Gellerstedt S:Quellques problems mixtes pour l’equation "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" . Ark. Mat. Astron. Fys. 1938, 26A(3):1-32.

4. Lavrent’ev MA, Bitsadze AV: To the problem of mixed type equations. Dokl. An SSSR 1950, 70(3):485-488.

5. Bitsadze AV: To the problem of mixed type equations. Trudy MI AN SSSR 1953, 41: 59.

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