File  
language 
eng

Author  
Description  This paper deals with nonoscillation problem about the nonautonomous linear difference system
xn = Anxn−1, n = 1,2,..., where An is a 2×2 variable matrix that is nonsingular for n ∈ N. In the special case that A is a constant matrix, it is wellknown that all nontrivial solutions are nonoscillatory if and only if all eigenvalues of A are positive real numbers; namely, detA > 0, trA > 0 and detA/(trA) 2 ≤ 1/4. The wellknown result can be said to be an analogy of ordinary differential equations. The results obtained in this paper extend this analogy result. In other words, this paper clarifies the distinction between difference equations and ordinary differential equations. Our results are explained with some specific examples. In addition, figures are attached to facilitate understanding of those examples. 
Subject  Linear difference equations
Nonautonomous
Nonoscillation
Riccati transformation
Sturm’s separation theorem

Journal Title 
Linear Algebra and its Applications0

Volume  531

Start Page  22

End Page  37

ISSN  00243795

Published Date  20171015

DOI  
NII Type 
Journal Article

Format 
PDF

Text Version 
著者版

OAIPMH Set 
Faculty of Science and Engineering
