Disconjugacy criteria for matrix difference equations
type: Item
instance of: scholarly article
title: Disconjugacy criteria for matrix difference equations
zbMATH Open document ID: 1050.39006
DOI: 10.1016/S0898-1221(03)00078-6
author: Stephen L. Clark
author: Don B. Hinton
publication date: 2004-08-06T00:00:00Z
review text: The authors obtain criteria of disconjugacy [cf. \textit{C. D. Ahlbrandt} and \textit{A. C. Petersen}, Discrete Hamiltonian systems. Difference equations, continued fractions, and Riccati equations (1996; Zbl 0860.39001)] for the matrix-Jacobi equation \[ -\Delta y_{t-1} + p_ty_t = 0, \quad t=1,\ldots,n. \] In some sense, the result is an extension of results of \textit{S. Clark} and \textit{D. Hinton} [Dyn. Syst. Appl. 8, No. 3--4, 369--380 (1999; Zbl 0940.39013)].
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 2082211
zbMATH Keywords: Matrix-Jacobi equation
zbMATH Keywords: disconjugacy
zbMATH Keywords: nonoscillation
reviewed by: M. Akhmet
MaRDI profile type: Publication
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full work available at URL: s0898-1221(03)00078-6
OpenAlex ID: W2049608992
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2082211