Oscillation of a second order half-linear difference equation and the discrete Hardy inequality

Kalybay, Aigerim; Karatayeva, Danagul; Oinarov, Ryskul; Temirkhanova, Ainur

doi:10.14232/ejqtde.2017.1.43

Cited by 9 publications

(2 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Now, we explicitly collect the basic motivation for our results by the selected theorems mentioned below. The strongest known oscillation results about the analyzed Euler type difference equations are proved in [3][4][5][6][7][8][9][10] (some important partial cases of these results are proved in [11][12][13][14]; see also [15] for a basic result). We remark that we unify the forms of the results below.…”

Section: Motivationmentioning

confidence: 99%

See 1 more Smart Citation

Oscillation criterion for Euler type half‐linear difference equations

Hasil,

Veselý

2023

Math Methods in App Sciences

View full text Add to dashboard Cite

We consider general classes of Euler type linear and half‐linear difference equations, which are conditionally oscillatory. Applying the adapted Riccati technique, we improve known oscillation criteria for these equations. More precisely, our presented main criterion is the full oscillatory counterpart of a non‐oscillation criterion. Thus, in this paper, we enlarge the set of conditionally oscillatory Euler type difference equations. We highlight that our results are new even for linear equations with periodic coefficients. This fact is documented by simple examples of such equations at the end of this paper.

show abstract