SPECTRAL PROPERTIES OF FIRST-ORDER DIFFERENTIAL OPERATORS WITH AN INVOLUTION AND GROUPS OF OPERATORS

被引:1
作者
Krishtal, I. A. [1 ]
Uskova, N. B. [2 ]
机构
[1] Northern Illinois Univ, De Kalb, IL 60115 USA
[2] Voronezh State Tech Univ, 14 Moskovsky Ave, Voronezh 394026, Russia
来源
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2019年 / 16卷
关键词
method of similar operators; differential operator with an involution; spectrum; group of operators; BOUNDARY-VALUE-PROBLEMS; FOURIER METHOD; MIXED PROBLEM; PERTURBATION-THEORY; DIRAC OPERATORS; EQUATIONS; THEOREM; SYSTEM; EQUICONVERGENCE; REFLECTION;
D O I
10.33048/semi.2019.16.076
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Several mixed problems for the differential equations with an involution are considered in this work. The spectral properties of the corresponding differential operators are studied. The operator groups generated by the differential operators with an involution are constructed.
引用
收藏
页码:1091 / 1132
页数:42
相关论文
共 85 条
[1]  
Andreev A. A., 2000, J. Samara State Tech. Univ., Ser. Phys. Math. Sci., V9, P32
[2]   Analogs of classical boundary value problems for a second-order differential equation with deviating argument [J].
Andreev, AA .
DIFFERENTIAL EQUATIONS, 2004, 40 (08) :1192-1194
[3]  
[Anonymous], 1987, HARMONIC ANAL LINEAR
[4]  
[Anonymous], DOKL AKAD NAUK
[5]  
[Anonymous], 1961, ASME J BASIC ENG, DOI DOI 10.1115/1.3658902
[6]  
[Anonymous], 1973, FUNCTIONAL ANAL
[7]  
[Anonymous], DOKL AKAD NAUK SSSR
[8]  
[Anonymous], 1988, DIFF EQUAT+
[9]  
[Anonymous], DIFFER URAVN, DOI 10.1134/S0374064118090133
[10]  
Arendt W, 2011, MG MATH, V96, pIX, DOI 10.1007/978-3-0348-0087-7