On Stability of Basis Property of Root Vectors System of the Sturm-Liouville Operator with an Integral Perturbation of Conditions in Nonstrongly Regular Samarskii-Ionkin Type Problems

被引：10

作者：

Imanbaev, N. S. ^{[1
,2
]}

机构：

[1] Akhrnet Yusawi Int Kazakh Thrkish Univ, Dept Math, B Sattarkhanov Ave 29, Turkistan 161200, Kazakhstan

[2] Minist Educ & Sci Republ Kazakhstan, 1nst Math & Math Modeling, Alma Ata 050010, Kazakhstan

来源：

INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 2015卷

关键词：

D O I：

10.1155/2015/641481

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a question on stability and instability of basis property of system of eigenfunctions and associated functions of the double differentiation operator with an integral perturbation of Samarskii-Ionkin type boundary conditions.

引用

页数：6

共 11 条

[1] Stability of the basis property of system of root functions of Sturm-Liouville operator with integral boundary condition
Imanbaev, Nurlan
APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'16), 2016, 1789
[2] On the basis property of systems of root functions of regular boundary value problems for the Sturm-Liouville operator
Makin A.S.
Differential Equations, 2006, 42 (12) : 1717 - 1728
[3] On the absence of the basis property for the root function system of the Sturm-Liouville operator with degenerate boundary conditions
Makin, A. S.
DOKLADY MATHEMATICS, 2016, 93 (02) : 220 - 222
[4] On the completeness of the system of root vectors of the Sturm-Liouville operator with general boundary conditions
Malamud, M. M.
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2008, 42 (03) : 198 - 204
[5] On the completeness of the system of root vectors of the Sturm-Liouville operator with general boundary conditions
M. M. Malamud
Functional Analysis and Its Applications, 2008, 42 : 198 - 204
[6] ON THE BASIS PROPERTY OF THE ROOT FUNCTIONS OF STURM-LIOUVILLE OPERATORS WITH GENERAL REGULAR BOUNDARY CONDITIONS
Nur, Cemile
Veliev, O. A.
MOSCOW MATHEMATICAL JOURNAL, 2015, 15 (03) : 511 - 526
[7] On instability of basis property of the root vectors system of the double differentiation operator with an integral perturbation of periodic type conditions
Imanbaev, Nurlan S.
Sadybekov, Makhmud A.
ADVANCEMENTS IN MATHEMATICAL SCIENCES (AMS 2015), 2015, 1676
[8] Basis Properties of the System of Root Functions of the Sturm-Liouville Operator with Degenerate Boundary Conditions: I
Makin, A. S.
DIFFERENTIAL EQUATIONS, 2018, 54 (10) : 1338 - 1353
[9] Basis Properties of the System of Root Functions of the Sturm-Liouville Operator with Degenerate Boundary Conditions: II
Makin, A. S.
DIFFERENTIAL EQUATIONS, 2018, 54 (12) : 1566 - 1582
[10] On the absence of the basis property for the root function system of the Sturm–Liouville operator with degenerate boundary conditions
A. S. Makin
Doklady Mathematics, 2016, 93 : 220 - 222

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