论卷积方程理论中勒贝格积分与黎曼积分的结合

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2024-02-01 DOI:10.1134/s0040577924010057

N. B. Engibaryan

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引用次数: 0

摘要

摘要以标量和矢量维纳-霍普夫方程为例，我们考虑了在研究和求解积分卷积方程问题中结合黎曼积分和勒贝格函数空间选项的两种方法。我们使用了非线性因式分解方程法和核平均法。引入并应用了直接黎曼可积分性的广义。

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On the combination of Lebesgue and Riemann integrals in theory of convolution equations

Abstract

Using the example of scalar and vector Wiener–Hopf equations, we consider two methods for combining the options for the Riemann integral and Lebesgue functional spaces in problems of studying and solving integral convolution equations. The method of nonlinear factorization equations and the kernel averaging method are used. A generalization of the direct Riemann integrability is introduced and applied.

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来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.