Spectral Properties of the Generalised Samarskii-Ionkin Type Problems

被引：1
|
作者：
Yessirkegenov, Nurgissa [1 ,2 ]
机构：
[1] Inst Math & Math Modeling, Alma Ata, Kazakhstan
[2] Imperial Coll London, Dept Math, London, England
来源：
FILOMAT | 2018年 / 32卷 / 03期
关键词：
Poisson equation; Samarskii-Ionkin type problem; eigenfunctions; eigenvalues; BOUNDARY-VALUE-PROBLEMS; POISSON EQUATION; ANALOG; DISK;
D O I：
10.2298/FIL1803019Y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study spectral properties of the Laplace operator with generalised SamarskiiIonkin boundary conditions in a disk. The eigenfunctions and eigenvalues of these problems are constructed in the explicit form. Moreover, we prove the completeness of these eigenfunctions.
引用
收藏
页码：1019 / 1024
页数：6
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