New results for oscillatory properties of neutral differential equations with a p-Laplacian like operator

Miskolc Mathematical Notes

article

O. Bazighifan¹  S. R. Grace²  J. Alzabut³  A. Özbekler⁴ 

[1] Hadhramout University, Department of Mathematics, Faculty of Science;Cairo University, Department of Engineering Mathematics, Faculty of Engineering;Prince Sultan University, Department of Mathematics and General Sciences;Atilim University, Department of Mathematics, 06830 Incek

关键词: even-order differential equations;    neutral delay;    oscillation;    p-Laplacian operator;   

DOI  :  10.18514/MMN.2020.3322

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

Results reported in this paper provide a generalization for some previously obtained results. Based on comparing with the oscillatory behavior of first-order delay equations, we provide new oscillation criteria for the solutions of even-order neutral differential equations with a $p$-Laplacian like operator. The proposed theorems not only provide totally different approach but also essentially improve a number of results reported in the literature. To demonstrate the advantage of our results, we present two examples.

【 授权许可】

CC BY