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
收藏
页码：5314 / 5327
页数：14
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