APPLICATIONS OF ITERATED LOGARITHM FUNCTIONS ON TIME SCALES TO RIEMANN-WEBER-TYPE EQUATIONS

被引：2

作者：

Ito, Baku ^{[1
]}

Rehak, Pavel ^{[2
]}

Yamaoka, Naoto ^{[1
]}

机构：

[1] Osaka Prefecture Univ, Dept Math Sci, Sakai, Osaka 5998531, Japan

[2] Brno Univ Technol, Inst Math, FME, Tech 2, CZ-61669 Brno, Czech Republic

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 04期

关键词：

Time scales calculus; iterated logarithm functions; Euler-type equations; Riemann-Weber-type equations; oscillation; oscillation constant; EULER; OSCILLATION;

D O I：

10.1090/proc/14812

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 give general solutions of second-order linear dynamic equations on time scales, which are related to Riemann-Weber-type differential equations. The general solutions naturally include iterated logarithm functions on time scales. Using their properties, we obtain complete information on oscillation for the equations, which are important for comparison purposes.

引用

页码：1611 / 1624

页数：14

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