Solutions with exponential character to a linear functional equation and roots of its characteristic equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:327

Article

Sokolowski, Dariusz

关键词: linear functional equations and inequalities;    solutions comparable with other functions;    characteristic roots;   

DOI  :  10.1016/j.jmaa.2006.04.019

来源: Elsevier

【 摘 要 】

We study the connection between solutions of the functional equation phi(x) = integral(S) phi(x + M(s))sigma (ds) which are comparable at infinity with functions of the form xe(lambda x) and real roots of the characteristic equation integral(S) e(lambda M(s)) sigma (ds) = 1. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

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