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

被引：12

作者：

Berdyshev, Abdumauvlen S. ^{[1
]}

Cabada, Alberto ^{[2
]}

Karimov, Erkinjon T. ^{[3
]}

Akhtaeva, Nazgul S. ^{[1
]}

机构：

[1] Kazakh Natl Pedag Univ, Alma Ata, Kazakhstan

[2] Univ Santiago de Compostela, Santiago De Compostela, Spain

[3] Natl Univ Uzbekistan, Inst Math, Tashkent, Uzbekistan

来源：

BOUNDARY VALUE PROBLEMS | 2013年

关键词：

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

D O I：

10.1186/1687-2770-2013-94

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：14

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