New results for the upper bounds of the distance between adjacent zeros of first-order differential equations with several variable delays

Journal of Inequalities and Applications

Research

Bassant M. El-Matary¹  Emad R. Attia² 

[1] Department of Mathematics, College of Science and Arts, Al-Badaya, Qassim University, 51951, Buraidah, Saudi Arabia;Department of Mathematics, Faculty of Science, Damietta University, 34517, New Damietta, Egypt;Department of Mathematics, College of Sciences and Humanities, Prince Sattam Bin Abdulaziz University, 11942, Alkharj, Saudi Arabia;Department of Mathematics, Faculty of Science, Damietta University, 34517, New Damietta, Egypt;

关键词: Differential equations;    Variable delays;    Distance between zeros;    Oscillation;    34K11;    34K06;   

DOI  :  10.1186/s13660-023-03017-w

 received in 2023-04-13, accepted in 2023-07-24,  发布年份 2023

来源: Springer

【 摘 要 】

The distance between consecutive zeros of a first-order differential equation with several variable delays is studied. Here, we show that the distribution of zeros of differential equations with variable delays is not an easy extension of the case of constant delays. We obtain new upper bounds for the distance between zeros of all solutions of a differential equation with several delays, which extend and improve some existing results. Two illustrative examples are given to show the advantages of the proposed results over the known ones.

【 授权许可】

CC BY   
© Springer Nature Switzerland AG 2023

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