In the present work we consider a boundary value problem with gluing
conditions of integral form for 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.Comment: 18 page

Akhtaeva, N. S.

Berdyshev, A. S.

Cabada, A.

Karimov, E. T.

Boundary Value Problems

English

arXiv

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

Berdyshev, Abdumauvlen S.

Cabada Fernández, Alberto

Karimov, Erkinjon T.

Akhtaeva, Nazgul S.

Repositorio Institucional da Universidade de Santiago de Compostela

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

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.</jats:p

Abdumauvlen S Berdyshev

Alberto Cabada

Erkinjon T Karimov

Nazgul S Akhtaeva

Crossref

Springer - Publisher Connector

https://boundaryvalueproblems.springeropen.com/track/pdf/10.1186/1687-2770-2013-94?site=boundaryvalueproblems.springeropen.com