Existence of eigenvalues of problem with shift for an equation of parabolic-hyperbolic type

被引：3
|
作者：
Tengayeva, Aizhan [1 ,2 ]
Dildabek, Gulnar [1 ,3 ]
机构：
[1] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan
[2] Kazakh Natl Agr Univ, Alma Ata 050010, Kazakhstan
[3] Al Farabi Kazakh Natl Univ, Alma Ata 050040, Kazakhstan
来源：
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016) | 2016年 / 1759卷
关键词：
Spectral problem; Equation of parabolic-hyperbolic type; Boundary condition with shift; BITSADZE EQUATION; OPERATORS; SPECTRUM;
D O I：
10.1063/1.4959760
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, a spectral problem for an operator of parabolic-hyperbolic type of I kind with non-classical boundary conditions is considered. The problem is considered in a standard domain. The parabolic part of the space is a rectangle. And the hyperbolic part of the space coincides with a characteristic triangle. We consider a problem with the local boundary condition in the domain of parabolicity and with the boundary condition with displacement in the domain of hyperbolicity. We prove the strong solvability of the considered problem. The main aim of the paper is the research of spectral properties of the problem. The existence of eigenvalues of the problem is proved.
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收藏
页数：6
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