Linear integral equations of the third kind arising from neutron transport theory

被引：4

作者：

Shulaia, D. ^{[1
]}

机构：

[1] Tbilisi State Univ, Vekua Inst Appl Math 1, GE-0143 Tbilisi 0143, Georgia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2007年 / 30卷 / 15期

关键词：

singular operator; limiting values; holomorphic function;

D O I：

10.1002/mma.882

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study, in the class of Holder functions, linear integral equations with coefficients cos x having zeros in an interval under consideration. Using the theory of singular integral equations, necessary and sufficient conditions for the solvability of these equations under some assumptions on their kernels are given. The kernels of transport equations satisfy the required assumptions. Copyright (c) 2007 John Wiley & Sons, Ltd.

引用

页码：1941 / 1964

页数：24

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