New oscillation theorems for a class of even-order neutral delay differential equations

Advances in Difference Equations

article

Anis, Mona¹  Moaaz, Osama¹ 

[1] Department of Mathematics, Faculty of Science, Mansoura University;Section of Mathematics, International Telematic University Uninettuno

关键词: Even-order differential equations;    Kneser solutions;    Oscillatory solutions;   

DOI  :  10.1186/s13662-021-03421-w

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this work, we study the oscillatory behavior of even-order neutral delay differential equations$\upsilon ^{n}(l)+b(l)u(\eta (l))=0$ , where$l\geq l_{0}$ ,$n\geq 4$ is an even integer and$\upsilon =u+a ( u\circ \mu ) $ . By deducing a new iterative relationship between the solution and the corresponding function, new oscillation criteria are established that improve those reported in (T. Li, Yu.V. Rogovchenko in Appl. Math. Lett. 61:35–41, 2016).

【 授权许可】

CC BY