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.
| Published in | Applied and Computational Mathematics (Volume 7, Issue 3) |
| DOI | 10.11648/j.acm.20180703.16 |
| Page(s) | 112-120 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2018. Published by Science Publishing Group |
Oscillation, Differential Equations, Neutral, Piecewise Constant Arguments
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APA Style
Jinyu Wang, Min Xi, Ailing Xiao. (2018). Oscillations of Solutions of Neutral Nonlinear Differential Equations. Applied and Computational Mathematics, 7(3), 112-120. https://doi.org/10.11648/j.acm.20180703.16
ACS Style
Jinyu Wang; Min Xi; Ailing Xiao. Oscillations of Solutions of Neutral Nonlinear Differential Equations. Appl. Comput. Math. 2018, 7(3), 112-120. doi: 10.11648/j.acm.20180703.16
AMA Style
Jinyu Wang, Min Xi, Ailing Xiao. Oscillations of Solutions of Neutral Nonlinear Differential Equations. Appl Comput Math. 2018;7(3):112-120. doi: 10.11648/j.acm.20180703.16
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Download@article{10.11648/j.acm.20180703.16,
author = {Jinyu Wang and Min Xi and Ailing Xiao},
title = {Oscillations of Solutions of Neutral Nonlinear Differential Equations},
journal = {Applied and Computational Mathematics},
volume = {7},
number = {3},
pages = {112-120},
doi = {10.11648/j.acm.20180703.16},
url = {https://doi.org/10.11648/j.acm.20180703.16},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20180703.16},
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.},
year = {2018}
}
TY - JOUR T1 - Oscillations of Solutions of Neutral Nonlinear Differential Equations AU - Jinyu Wang AU - Min Xi AU - Ailing Xiao Y1 - 2018/07/19 PY - 2018 N1 - https://doi.org/10.11648/j.acm.20180703.16 DO - 10.11648/j.acm.20180703.16 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 112 EP - 120 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20180703.16 AB - 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. VL - 7 IS - 3 ER -
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