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

Ya-Ru Zhu, Zhong-Xuan Mao, Jing-Feng Tian, Ya-Gang Zhang and Xin-Ni Lin
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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

Mathematics, 2022, vol. 10, issue 5, 1-17

Abstract: 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.

Keywords: higher order dynamic equations; oscillation; nonoscillation; Riccati technique; fixed point theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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