Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time Scales

Mathematics

Xin-Ni Lin¹  Zhong-Xuan Mao²  Jing-Feng Tian²  Ya-Gang Zhang²  Ya-Ru Zhu² 

[1] College of Foreign Languages, Cultures and International Exchanges, Zhejiang University, Ningbo 315100, China;Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China;

关键词: higher order dynamic equations;    oscillation;    nonoscillation;    Riccati technique;    fixed point theorem;   

DOI  :  10.3390/math10050717

来源: DOAJ

【 摘 要 】

In this paper, we consider two universal higher order dynamic equations with several delay functions. We will establish two oscillatory criteria of the first equation and a sufficient and necessary condition for the second equation with a nonoscillatory solution by employing fixed point theorem.

【 授权许可】

Unknown