Even-order differential equation with continuous delay: nonexistence criteria of Kneser solutions

Advances in Difference Equations

M. Motawi Khashan¹  Osama Moaaz²  Ali Muhib³ 

[1] Department of Basic Sciences, Common First Year, King Saud University, 11451, Riyadh, Saudi Arabia;Department of Mathematics, Faculty of Science, Mansoura University, 35516, Mansoura, Egypt;Department of Mathematics, Faculty of Science, Mansoura University, 35516, Mansoura, Egypt;Department of Mathematics, Faculty of Education-Al-Nadirah, Ibb University, Ibb, Yemen;

关键词: Even-order differential equations;    Oscillatory solutions;    Kneser solutions;    34C10;    34K11;   

DOI  :  10.1186/s13662-021-03409-6

来源: Springer

【 摘 要 】

In this paper, we study even-order DEs where we deduce new conditions for nonexistence Kneser solutions for this type of DEs. Based on the nonexistence criteria of Kneser solutions, we establish the criteria for oscillation that take into account the effect of the delay argument, where to our knowledge all the previous results neglected the effect of the delay argument, so our results improve the previous results. The effectiveness of our new criteria is illustrated by examples.

【 授权许可】

CC BY