Copy For Citation
KARPUZ B., Stavroulakis I. P.
MEDITERRANEAN JOURNAL OF MATHEMATICS, vol.18, no.1, 2021 (SCIExpanded)

Publication Type:
Article / Article

Volume:
18
Issue:
1

Publication Date:
2021

Doi Number:
10.1007/s00009020016170

Journal Name:
MEDITERRANEAN JOURNAL OF MATHEMATICS

Journal Indexes:
Science Citation Index Expanded (SCIEXPANDED), Scopus, MathSciNet, zbMATH, DIALNET

Keywords:
Oscillation, Nonoscillation, Difference equations, Primary 39A10, Secondary 39A21, CRITERIA

Dokuz Eylül University Affiliated:
Yes
Abstract
Consider the delay difference equation Delta x(n)+Sigma k=1mpk(n)x(ntau k)=0forn=0,1,...,
where Delta is the forward difference operator, i.e., Delta x(n):=x(n+1)x(n), tau k is a nonnegative integer and {pk(n)}n=0 infinity is a nonnegative sequence of reals for k=1,2,...,m. New oscillation and nonoscillation results, which essentially improve known results in the literature, are established. These results are extended to the more general difference equation Delta x(n)+Sigma k=1mpk(n)x(sigma k(n))=0forn=0,1,....
Examples illustrating the significance of the results are given.