A note on a nonlinear functional equation and its application

被引：0

作者：

Makasu, Cloud ^{[1
]}

机构：

[1] Univ Western Cape, Dept Math & Appl Math, ZA-7535 Bellville, South Africa

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 381卷 / 02期

关键词：

Fixed point theorem; Optimal stopping problem;

D O I：

10.1016/j.jmaa.2011.03.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper treats the following type of nonlinear functional equations phi(x) = mH(x, phi[g(x)])/H(phi)(x, phi[g(x)]), where m is a real number, H(x, y) and g(x) are given functions, and phi(x) is an unknown function. Under certain conditions, we prove that such type of equations admits a unique continuous solution. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：966 / 967

页数：2

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