Unconditional bases related to a nonclassical second-order differential operator

被引：39

作者：

Sarsenbi, A. M. ^{[1
]}

机构：

[1] S Kazakhstan State Univ, Shymkent, Kazakhstan

来源：

DIFFERENTIAL EQUATIONS | 2010年 / 46卷 / 04期

关键词：

Regularity Condition; Riesz Basis; Root Function; Unconditional Basis; Root Vector;

D O I：

10.1134/S0012266110040051

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we introduce the notion of regularity of boundary conditions for a simplest second-order differential equation with a deviating argument. We prove the Riesz basis property for a system of root vectors of the corresponding generalized spectral problem with regular boundary conditions (in the sense of the introduced definition). Examples of irregular boundary conditions to which the theory of Il'in basis property can be applied are given.

引用

页码：509 / 514

页数：6

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