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Some New Oscillatory Behavior of Certain Third-Order Nonlinear Neutral Differential Equations of Mixed Type

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Abstract

By applying Riccati substitution techniques triply, we establish some new oscillation and asymptotic nature of solutions to the third-order nonlinear differential equations with mixed neutral type. We present many theorems and related examples in order to illustrate and substantiate the main theory.

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Acknowledgements

The authors are very grateful to the anonymous referees for their valuable suggestions and comments, which helped to improve the quality of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Paavai Engineering College (Autonomous), Namakkal, Tamil Nadu, 637018, India

    M. Sathish Kumar

  2. Deputy Directorate of Statistics, Government of Tamil Nadu, Namakkal, Tamil Nadu, 637003, India

    S. Janaki

  3. Department of Mathematics, Aringar Anna Government Arts College, Namakkal, Tamil Nadu, 637002, India

    V. Ganesan

Authors
  1. M. Sathish Kumar
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  2. S. Janaki
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  3. V. Ganesan
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Correspondence to M. Sathish Kumar.

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Sathish Kumar, M., Janaki, S. & Ganesan, V. Some New Oscillatory Behavior of Certain Third-Order Nonlinear Neutral Differential Equations of Mixed Type. Int. J. Appl. Comput. Math 4, 78 (2018). https://doi.org/10.1007/s40819-018-0508-8

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  • DOI: https://doi.org/10.1007/s40819-018-0508-8

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