Oscillations of Solutions of Neutral Nonlinear Differential Equations
Applied and Computational Mathematics
Volume 7, Issue 3, June 2018, Pages: 112-120
Received: Jul. 18, 2018; Published: Jul. 19, 2018
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Authors
Jinyu Wang, School of Finance, Guangdong University of Foreign Studies, Guangzhou, China
Min Xi, School of Finance, Guangdong University of Foreign Studies, Guangzhou, China
Ailing Xiao, School of Finance, Guangdong University of Foreign Studies, Guangzhou, China
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Abstract
This paper aims to establish a new class of differential equations and study the oscillatory behavior of a kind of first-order neutral nonlinear differential equation with time delay arguments. The oscillatory properties of the solutions of the type of first order neutral functional differential equations applied in chemomedical problems are studied. Sufficient conditions for the oscillations of solutions of the above equations are obtained. Also, some results which demonstrate in literature [1-4] will be extended, and the paper focuses on expanding the main finding of literature [2, 3]. Moreover, a new kind of method to be used to discuss the properties of oscillation of the first-order neutral nonlinear differential equations and some theorems are obtained in the paper.
Keywords
Oscillation, Differential Equations, Neutral, Piecewise Constant Arguments
To cite this article
Jinyu Wang, Min Xi, Ailing Xiao, Oscillations of Solutions of Neutral Nonlinear Differential Equations, Applied and Computational Mathematics. Vol. 7, No. 3, 2018, pp. 112-120. doi: 10.11648/j.acm.20180703.16
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