Properties of critical and subcritical second order self-adjoint linear equations
type: Item
instance of: scholarly article
title: Properties of critical and subcritical second order self-adjoint linear equations
zbMATH Open document ID: 1485.39022
author: Jan Jekl
published in: Mathematica Slovaca
publication date: 2021-12-03T00:00:00Z
review text: Necessary and/or sufficient conditions guaranteeing criticality (subcriticality) of the equation \(a_{n-1}y_{n-1}+b_ny_n+a_ny_{n+1}=0\), \(n\in\mathbb{Z}\), are established. Further, the fourth order equation \(-\Delta^4 y_n+\Delta(r_{n+1}\Delta y_{n+1})=0\), \(r_n>0\), \(n\in\mathbb{Z}\), is considered, and its 1-criticality is proved.
Mathematics Subject Classification ID: 39A22
Mathematics Subject Classification ID: 47B36
Mathematics Subject Classification ID: 47B39
zbMATH DE Number: 7438446
zbMATH Keywords: critical equation
zbMATH Keywords: Riccati equation
zbMATH Keywords: difference equation
reviewed by: Pavel Rehak
MaRDI profile type: Publication
full work available at URL: ms-2021-0045
OpenAlex ID: W3203245508
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DOI: 10.1515/MS-2021-0045
description: scientific article; zbMATH DE number 7438446