General solutions of second-order linear difference equations of Euler type | Zendy

Akane Hongyo | Zendy; Naoto Yamaoka | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

General solutions of second-order linear difference equations of Euler type

Author(s) -

Akane Hongyo,

Naoto Yamaoka

Publication year - 2017

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2017.37.3.389

Subject(s) - mathematics , euler equations , linear differential equation , differential equation , mathematical analysis , type (biology) , euler's formula , euler method , independent equation , order (exchange) , semi implicit euler method , backward euler method , ecology , finance , economics , biology

The purpose of this paper is to give general solutions of linear difference equations which are related to the Euler-Cauchy differential equation \(y^{\prime\prime}+(\lambda/t^2)y=0\) or more general linear differential equations. We also show that the asymptotic behavior of solutions of the linear difference equations are similar to solutions of the linear differential equations

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research