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

页码：1019 / 1024

页数：6

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