Opuscula Mathematica
Opuscula Math. 37, no. 3 (), 389-402
Opuscula Mathematica

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

Abstract. 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.
Keywords: Euler-Cauchy equations, oscillation, conditionally oscillatory.
Mathematics Subject Classification: 39A06, 39A12, 39A21.
Cite this article as:
Akane Hongyo, Naoto Yamaoka, General solutions of second-order linear difference equations of Euler type, Opuscula Math. 37, no. 3 (2017), 389-402, http://dx.doi.org/10.7494/OpMath.2017.37.3.389
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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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