Oscillation of Second Order Nonlinear Neutral Differential Equations

Yingzhu Wu, Yuanhong Yu and Jinsen Xiao
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Yingzhu Wu: Department of Mathematics, Guangdong University of Petrochemical Technology, Maoming 525000, China
Yuanhong Yu: Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China
Jinsen Xiao: Department of Mathematics, Guangdong University of Petrochemical Technology, Maoming 525000, China

Mathematics, 2022, vol. 10, issue 15, 1-12

Abstract: The study of the oscillatory behavior of solutions to second order nonlinear differential equations is motivated by their numerous applications in the natural sciences and engineering. In the presented research, some new oscillation criteria for a class of damped second order neutral differential equations with noncanonical operators are established. The results extend and improve on those reported in the literature. Moreover, some examples are provided to show the significance of the results.

Keywords: oscillation criteria; Emden–Fowler differential equation; half-linear neutral differential equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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