On the Bavrin integro-differential operators and their applications to solution of functional equations

A. S. Yakshina

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On the Bavrin integro-differential operators and their applications to solution of functional equations

机译：Bavrin积分微分算子及其在函数方程解中的应用

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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.

机译：我们在I.I.Bavrin引入的特定于多磁盘的整数微分算子类中构造了一个乘法群结构。我们指出了这些算子在函数方程解中的两种应用。

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来源
《Siberian Mathematical Journal》 |2003年第5期|共4页
作者
A. S. Yakshina;
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正文语种 eng
中图分类数学;
关键词
integro-differential operator; integral representation; multidimensional complex analysis;

机译：积分微分算子积分表示多维复杂分析;

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专利

1. On the Bavrin integro-differential operators and their applications to solution of functional equations [J] . A. S. Yakshina Siberian Mathematical Journal . 2003,第5期

机译：Bavrin积分微分算子及其在函数方程解中的应用
2. BOUNDARY SOLUTIONS OF OPERATOR EQUATIONS IN PARTIAL ORDERING SETS WITH APPLICATIONS TO SYSTEMS OF FUNCTIONAL EQUATIONS [J] . ZHAO Zengqin, XIE Shuheng Systems Science and Mathematical Sciences . 1998,第1期

机译：偏序集中算子方程的边界解及其在函数方程组中的应用
3. Boundary solutions of operator equations in partial ordering sets with applications to systems of functional equations [J] . Zhao Zengqin, Xie Shuheng Systems Science and Mathematical Sciences . 1998,第1期

机译：偏序集中算子方程的边界解及其在函数方程组中的应用
4. Existence and uniqueness of almost automorphic solutions to some functional integro-differential evolution equations [C] . Xi-liang Li, Feng-long Qu, Yu-liang Han International congress on mathematical biology;ICMB2011 . 2011

机译：某些函数积分微分演化方程的几乎自定解的存在和唯一性
5. Regularized functional calculi for pseudo-differential operators, integro-differential equations, and integrated semigroups. [D] . Lei, Yansong. 1997

机译：伪微分算子，积分微分方程和积分半群的正则化函数计算。
6. Implicit Riesz wavelets based-method for solving singular fractional integro-differential equations with applications to hematopoietic stem cell modeling [O] . Mutaz Mohammad, Alexander Trounev -1

机译：基于隐式Riesz小波的方法求解奇异分数积分-微分方程及其在造血干细胞建模中的应用
7. On the existence of viscosity solutions to nonlinear problems involving an integro-differential operator(Evolution Equations and Applications to Nonlinear Problems) [O] . Yamada Naoki 1990

机译：关于涉及积分微分算子的非线性问题的粘性解的存在（演化方程及其在非线性问题中的应用）

On the Bavrin integro-differential operators and their applications to solution of functional equations

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