SOLUTIONS OF A GOLAB-SCHINZEL-TYPE FUNCTIONAL EQUATION BOUNDED ON 'BIG' SETS IN AN ABSTRACT SENSE

被引：6

作者：

Jablonska, Eliza ^{[1
]}

机构：

[1] Rzeszow Univ Technol, Dept Math, PL-35959 Rzeszow, Poland

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2010年 / 81卷 / 03期

关键词：

Baire category; Lebesgue measurability; Golab-Schinzel equation; exponential function; bounded solutions;

D O I：

10.1017/S0004972709001099

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is well known that an exponential real function, which is Lebesgue measurable (Baire measurable, respectively) or bounded on a set of positive Lebesgue measure (of the second category with the Baire property, respectively), is continuous. Here we consider bounded on 'big' set solutions of an equation generalizing the exponential equation as well as the Golab-Schinzel equation. Moreover, we unify results into a more general and abstract case.

引用

页码：430 / 441

页数：12

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