Riesz basis property of system of root functions of second-order differential operator with involution

被引：0

作者：

L. V. Kritskov

A. M. Sarsenbi

机构：

[1] Moscow State University,

[2] M.O. Auezov South Kazakhstan State University,undefined

来源：

Differential Equations | 2017年 / 53卷

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摘要：

The properties of the root functions are studied for an arbitrary operator generated in L2(−1, 1) by the operation with involution of the form Lu = −u″(x)+αu″(−x)+q(x)u(x)+ qν(x)u(ν(x)), where α ∈ (−1, 1), ν(x) is an absolutely continuous involution of the segment [−1, 1] and the coefficients q(x) and qν(x) are summable functions on (−1, 1). Necessary and sufficient conditions are obtained for the unconditional basis property in L2(−1, 1) for the system of the root functions of the operator.

引用

页码：33 / 46

页数：13

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