Nonlinear singular integral equations in elastodynamics by using Hilbert transformations

被引：8

作者：

Ladopoulos, EG ^{[1
]}

机构：

[1] Interpaper Res Org, Athens 10672, Greece

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2005年 / 6卷 / 03期

关键词：

non-linear singular integral equations; elastodynamics; seismic wave equation; Hibbert transformations;

D O I：

10.1016/j.nonrwa.2004.10.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A seismic wave equations analysis is investigated by reducing the problem to the solution of a nonlinear singular integral equation. Therefore, the solution of the seismic wave equation, which is of great importance in the theory of elastodynamics, by using Hilbert transformations is reduced to such a type of singular integral equation. Some approximate solutions, are finally constructed by using Hilbert transform operators for the solution of the nonlinear singular integral equations. (c) 2004 Elsevier Ltd. All rights reserved.

引用

页码：531 / 536

页数：6

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