Explicit integral representations of implicit functions

被引：0

作者：

Castro, L. P. ^{[1
]}

Murata, K. ^{[2
]}

Saitoh, S. ^{[1
]}

Yamada, M. ^{[3
]}

机构：

[1] Univ Aveiro, Dept Math, Ctr R&D Math & Applicat, P-3810193 Aveiro, Portugal

[2] Open Univ Japan, Mihama Ku, Chiba 2618586, Japan

[3] Gunma Univ, Univ Educ Ctr, Maebashi, Gunma 3718510, Japan

来源：

CARPATHIAN JOURNAL OF MATHEMATICS | 2013年 / 29卷 / 02期

关键词：

Inverse function; inverse mapping; implicit function; integral transform; singular integral; fundamental solution; non-linear mapping; FUNCTION THEOREMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main goal of the paper is to obtain explicit integral representations of implicit functions whose existence is guaranteed by the implicit function theory. We derive the mentioned representation formulas of inverse functions within a very general framework on general domains in several dimensions.

引用

页码：141 / 148

页数：8

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