A Generalized Fourier Method for the System of First-Order Differential Equations with an Involution and a Group of Operators

被引：7
|
作者：
Baskakov, A. G. [1 ,2 ]
Uskova, N. B. [3 ]
机构：
[1] Voronezh State Univ, Voronezh, Russia
[2] Khetagurov North Ossetia State Univ, Vladikavkaz 362025, North Ossetia, Russia
[3] Voronezh State Tech Univ, Voronezh 394006, Russia
来源：
DIFFERENTIAL EQUATIONS | 2018年 / 54卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
LINEAR RELATIONS; SPECTRAL-ANALYSIS;
D O I：
10.1134/S0012266118020131
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A mixed problem is considered for a differential equation with an involution and matrix potential. The method of similar operators is used to transform the differential operator defined by this equation into the orthogonal direct sum of finite-rank operators. A theorem is established, based on which an operator group is constructed to describe mild solutions of the problem at hand.
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页码：277 / 281
页数：5
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