Spectral analysis of differential operators with unbounded operator coefficients in weighted spaces of functions

被引：0

作者：

M. S. Bichegkuev

机构：

[1] North-Ossetian State University,

来源：

Mathematical Notes | 2014年 / 95卷

关键词：

differential operator; weighted spaces of functions; spectral properties of operators; evolution operator; exponential dichotomy; Howland difference operator; Banach space; spectrum mapping theorem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The spectral properties of operators constructed from a family of evolution operators are studied in Banach spaces of vector functions defined by a weight function of pre-exponential growth. Necessary and sufficient conditions for the invertibility of such operators are obtained in terms of exponential dichotomy. We prove a spectrum mapping theorem for semigroups of Howland difference operators generated by the operator under study.

引用

页码：15 / 21

页数：6

共 50 条

[21] Integral equalities for functions of unbounded spectral operators in Banach spaces
Silvestri, Benedetto
DISSERTATIONES MATHEMATICAE, 2009, (464) : 5 - +
[22] ON THE DIFFERENTIAL-EQUATIONS WITH UNBOUNDED OPERATOR COEFFICIENTS IN HILBERT-SPACES
ASLANOV, GI
DOKLADY AKADEMII NAUK, 1994, 337 (01) : 10 - 13
[23] ALMOST PERIODIC AT INFINITY FUNCTIONS FROM HOMOGENEOUS SPACES AS SOLUTIONS TO DIFFERENTIAL EQUATIONS WITH UNBOUNDED OPERATOR COEFFICIENTS
Baskakov, A. G.
Strukov, V. E.
Strukova, I. I.
EURASIAN MATHEMATICAL JOURNAL, 2020, 11 (04): : 8 - 24
[24] ON SPLITTING OF DIFFERENTIAL OPERATOR WITH UNBOUNDED OPERATOR COEFFICIENTS
BASKAKOV, AG
DOKLADY AKADEMII NAUK, 1992, 323 (03) : 380 - 384
[25] Spectral Properties of Difference and Differential Operators in Weighted Spaces
Bichegkuev, M. S.
Besaeva, S. V.
RUSSIAN MATHEMATICS, 2011, 55 (02) : 13 - 17
[26] About Reversibility States of Linear Differential Operators with Periodic Unbounded Operator Coefficients
Didenko, V. B.
IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2014, 14 (02): : 136 - 144
[27] Spectral functions of singular differential operators with matricial coefficients
Chebli, H
Mahmoud, NH
INDAGATIONES MATHEMATICAE-NEW SERIES, 2004, 15 (01): : 29 - 42
[28] Fredholm differential operators with unbounded coefficients
Latushkin, Y
Tomilov, Y
JOURNAL OF DIFFERENTIAL EQUATIONS, 2005, 208 (02) : 388 - 429
[29] WEIGHTED ESTIMATES FOR DIFFERENTIAL-OPERATORS WITH OPERATOR-VALUED COEFFICIENTS
AMREIN, WO
DEMONVELBERTHIER, AMB
GEORGESCU, V
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1987, 115 (03): : 291 - 307
[30] ON OPERATORS COMMUTING WITH A POMMIEZ TYPE OPERATOR IN WEIGHTED SPACES OF ENTIRE FUNCTIONS
Ivanova, O. A.
Melikhov, S. N.
ST PETERSBURG MATHEMATICAL JOURNAL, 2017, 28 (02) : 209 - 224

← 1 2 3 4 5 →