ON SPECTRAL PROPERTIES OF A BOUNDARY VALUE PROBLEM OF THE FIRST ORDER EQUATION WITH DEVIATING ARGUMENT

被引：2

作者：

Shaldanbayev, A. Sh ^{[1
]}

Shalenova, S. M. ^{[2
]}

Ivanova, M. B. ^{[3
]}

Shaldanbayeva, A. A. ^{[4
]}

机构：

[1] Silkway Int Univ, Ctr Math Modeling, Shymkent, Kazakhstan

[2] Yessenov Univ, Aktau, Kazakhstan

[3] South Kazakhstan Med Acad, Shymkent, Kazakhstan

[4] Reg Social Innovat Univ, Shymkent, Kazakhstan

来源：

NEWS OF THE NATIONAL ACADEMY OF SCIENCES OF THE REPUBLIC OF KAZAKHSTAN-SERIES PHYSICO-MATHEMATICAL | 2019年 / 5卷 / 327期

关键词：

equation with deviating argument; completeness; basic property; Volterra property; Gaal's formula; Lidsky's theorem; Sturm - Liouville operator; Riesz basis; DIFFERENTIAL-EQUATION; ROOT FUNCTIONS; OPERATOR; BIFURCATION; EIGENFUNCTION; INVOLUTION; BASES;

D O I：

10.32014/2019.2518-1726.56

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study spectral properties of a boundary value problem of a first order differential equation with constant coefficients and deviating argument; the deviation is present at the highest term of the equation, and it cannot be transferred to the lower terms of the equation without an additional condition. By spectral properties, we mean completeness and basic properties of a system of eigenfunctions and associated functions of a boundary value problem, as well as Volterra properties.

引用

页码：19 / 39

页数：21

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