Wiener-Hopf方程的渐近展开式

IF 2 2区数学 Q1 MATHEMATICS

Analysis and Applications Pub Date : 2020-12-08 DOI:10.1142/s0219530520500207

Kui Li, R. Wong

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引用次数: 1

摘要

维纳-霍普夫方程的形式为:这些方程出现在许多物理问题中，如辐射输运理论、电磁平面波的反射、声波从管道传播以及材料科学。它们在概率论中也被称为半线上的更新方程。本文给出了这些方程解的渐近展开式的一种推导方法。我们的方法利用了Wiener-Hopf技术以及Stieltjes和Hilbert变换的渐近展开。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Asymptotic expansions for Wiener–Hopf equations

Wiener–Hopf Equations are of the form [Formula: see text] These equations arise in many physical problems such as radiative transport theory, reflection of an electromagnetive plane wave, sound wave transmission from a tube, and in material science. They are also known as the renewal equations on the half-line in Probability Theory. In this paper, we present a method of deriving asymptotic expansions for the solutions to these equations. Our method makes use of the Wiener–Hopf technique as well as the asymptotic expansions of Stieltjes and Hilbert transforms.

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来源期刊

Analysis and Applications 数学-数学

CiteScore

3.90

自引率

4.50%

发文量

审稿时长

>12 weeks

期刊介绍： Analysis and Applications publishes high quality mathematical papers that treat those parts of analysis which have direct or potential applications to the physical and biological sciences and engineering. Some of the topics from analysis include approximation theory, asymptotic analysis, calculus of variations, integral equations, integral transforms, ordinary and partial differential equations, delay differential equations, and perturbation methods. The primary aim of the journal is to encourage the development of new techniques and results in applied analysis.