On the Bavrin Integro-Differential Operators and Their Applications to Solution of Functional Equations

被引：0
作者：
A. S. Yakshina
机构：
[1] Blagoveshchensk State Pedagogical University,
来源：
Siberian Mathematical Journal | 2003年 / 44卷
关键词：
integro-differential operator; integral representation; multidimensional complex analysis;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct a multiplicative group structure in the class of integro-differential operators specific for a polydisk which was introduced by I. I. Bavrin. We indicate two applications of these operators to solution of functional equations.
引用
收藏
页码：931 / 934
页数：3
相关论文
共 48 条
[21]   On an integro-differential transform on the sphere [J].
Makai, E ;
Martini, H ;
Odor, T .
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2001, 38 :299-312
[22]   FUNDAMENTAL OPERATOR FUNCTIONS OF INTEGRO-DIFFERENTIAL OPERATORS UNDER SPECTRAL OR POLYNOMIAL BOUNDEDNESS [J].
Falaleev, M., V .
UFA MATHEMATICAL JOURNAL, 2020, 12 (02) :56-71
[23]   An inverse spectral problem for integro-differential Dirac operators with general convolution kernels [J].
Bondarenko, Natalia ;
Buterin, Sergey .
APPLICABLE ANALYSIS, 2020, 99 (04) :700-716
[24]   On an inverse spectral problem for first-order integro-differential operators with discontinuities [J].
Buterin, S. A. .
APPLIED MATHEMATICS LETTERS, 2018, 78 :65-71
[25]   Traces and inverse nodal problems for Dirac-type integro-differential operators on a graph [J].
Hu, Yi-teng ;
Bondarenko, Natalia Pavlovna ;
Shieh, Chung-Tsun ;
Yang, Chuan-fu .
APPLIED MATHEMATICS AND COMPUTATION, 2019, 363
[26]   The numerical solution of inverse nodal problem for integro-differential operator by Legendre wavelet method [J].
Wang, Yu Ping ;
Yilmaz, Emrah ;
Akbarpoor, Shahrbanoo .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2023, 100 (01) :219-232
[27]   FINITE ELEMENT APPROXIMATION OF AN INTEGRO-DIFFERENTIAL OPERATOR [J].
Ding Xiaqi ;
Luo Peizhu .
ACTA MATHEMATICA SCIENTIA, 2009, 29 (06) :1767-1776
[28]   FINITE ELEMENT APPROXIMATION OF AN INTEGRO-DIFFERENTIAL OPERATOR [J].
丁夏畦 ;
罗佩珠 .
ActaMathematicaScientia, 2009, 29 (06) :1767-1776
[29]   AN INVERSE SPECTRAL PROBLEM FOR STURM-LIOUVILLE-TYPE INTEGRO-DIFFERENTIAL OPERATORS WITH ROBIN BOUNDARY CONDITIONS [J].
Buterin, Sergey .
TAMKANG JOURNAL OF MATHEMATICS, 2019, 50 (03) :207-221
[30]   Neumann problem with the integro-differential operator in the boundary condition [J].
I. M. Danyliuk ;
A. O. Danyliuk .
Mathematical Notes, 2016, 100 :687-694
12345