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Oscillations of Solutions of Neutral Nonlinear Differential Equations

Received: 18 July 2018     Published: 19 July 2018
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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.

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.

Copyright

Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Oscillation, Differential Equations, Neutral, Piecewise Constant Arguments

References
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    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

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    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

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    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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  • @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}
    }
    

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  • 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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Author Information
  • School of Finance, Guangdong University of Foreign Studies, Guangzhou, China

  • School of Finance, Guangdong University of Foreign Studies, Guangzhou, China

  • School of Finance, Guangdong University of Foreign Studies, Guangzhou, China

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