Mathematics
(Feb 2022)
Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time Scales
Ya-Ru Zhu,
Zhong-Xuan Mao,
Jing-Feng Tian,
Ya-Gang Zhang,
Xin-Ni Lin
Affiliations
Ya-Ru Zhu
Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China
Zhong-Xuan Mao
Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China
Jing-Feng Tian
Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China
Ya-Gang Zhang
Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China
Xin-Ni Lin
College of Foreign Languages, Cultures and International Exchanges, Zhejiang University, Ningbo 315100, China
DOI
https://doi.org/10.3390/math10050717
Journal volume & issue
Vol. 10,
no. 5
Abstract
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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.
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