Explicit conditions for the oscillation of difference equations

doi:10.1016/0022-247X(90)90278-N

Journal of Mathematical Analysis and Applications

Volume 153, Issue 1, 15 November 1990, Pages 276-287

https://doi.org/10.1016/0022-247X(90)90278-N Get rights and content

Under an Elsevier user license

open archive

Abstract

We obtain sufficient conditions for the oscillation of all solutions of the difference equation $A_{n+1} −A_{n} + ∑ i=1 m p_{i} A_{n−k_{i}} =0, n=0, 1, 2, …$ , where the p_i's are real numbers and the k_i's are integers. The conditions are given explicitly in terms of the p_i's and the k_i's.

Cited by (0)

^☆: This paper was presented at the special session on “Differential and Difference Equations” at the AMS Meeting in Claremont, CA, November 12–13, 1988.

Journal of Mathematical Analysis and Applications

Explicit conditions for the oscillation of difference equations☆

Abstract