Volterra Property of an Problem of the Frankl Type for an Parabolic-Hyperbolic Equation

被引：0
|
作者：
Dildabek, Gulnara [1 ,2 ]
Saprygina, Marina B. [1 ,3 ]
机构：
[1] Inst Math & Math Modeling, Alma Ata, Kazakhstan
[2] Al Farabi Kazakh Natl Univ, Alma Ata, Kazakhstan
[3] South Kazakhstan State Pharmaceut Acad, Shymkent, Kazakhstan
来源：
INTERNATIONAL CONFERENCE FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS (FAIA2017) | 2017年 / 1880卷
关键词：
LAVRENTEV-BITSADZE EQUATION; BOUNDARY-VALUE-PROBLEMS; TRICOMI; EIGENFUNCTIONS; OPERATOR;
D O I：
10.1063/1.5000648
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In the paper spectral properties of non-local boundary value problem for an equation of the parabolic-hyperbolic type is investigated. The non-local condition binds the solution values at points on boundaries of the parabolic and hyperbolic parts of the domain with each other. This problem was first formulated by T.Sh. Kal'menov and M.A. Sadybekov. They proved the unique strong solvability of the problem. One special case of this problem was investigated in more detail in the work of G. Dildabek. A boundary value problem for the heat equation with conditions of the Samarskii-Ionlin type arises in solving this problem. In this paper, we show in what case this boundary value problem does not have eigenvalues.
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页数：5
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