Amended oscillation criteria for second-order neutral differential equations with damping term

Advances in Difference Equations

George E. Chatzarakis¹  Thabet Abdeljawad²  Amany Nabih³  Osama Moaaz³  Clemente Cesarano⁴ 

[1] Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), N. Heraklio, Athens, Greece;Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia;Department of Medical Research, China Medical University, Taichung, Taiwan;Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan;Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt;Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, Roma, Italy;

关键词: Amended criteria for oscillation;    Second-order differential equations;    Neutral delay;    Damping term;   

DOI  :  10.1186/s13662-020-03013-0

来源: Springer

【 摘 要 】

The aim of this work is to improve the oscillation results for second-order neutral differential equations with damping term. We consider the noncanonical case which always leads to two independent conditions for oscillation. We are working to improve related results by simplifying the conditions, based on taking a different approach that leads to one condition. Moreover, we obtain different forms of conditions to expand the application area. An example is also given to demonstrate the applicability and strength of the obtained conditions over known ones.

【 授权许可】

CC BY