Closed-form solutions of second-order linear difference equations close to the self-adjoint Euler type

被引：4

作者：

Jekl, Jan ^{[1
,2
]}

机构：

[1] Masaryk Univ, Fac Sci, Dept Math & Stat, Kotlarska 2, Brno 61137, Czech Republic

[2] Univ Def, Fac Mil Technol, Dept Math & Phys, Brno, Czech Republic

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 05期

关键词：

closed-form solution; discrete calculus; Euler-type equation; iterated logarithm; DYNAMIC EQUATIONS; OSCILLATION CONSTANTS; ASYMPTOTICS; LOGARITHM; EXISTENCE;

D O I：

10.1002/mma.8836

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is dedicated to obtaining closed-form solutions of linear difference equations which are asymptotically close to the self-adjoint Euler-type difference equation. In this sense, the equation is related to the Euler-Cauchy differential equation y ''+lambda/t(2)y = 0. Throughout the paper, we consider a system of sequences which behave asymptotically as an iterated logarithm.

引用

页码：5314 / 5327

页数：14

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