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

Original Paper
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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.

Keywords

Third-order Neutral differential equation Oscillation of solutions Mixed arguments 

Mathematics Subject Classification

34K11 34C10 34C15 

Notes

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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Copyright information

© Springer (India) Private Ltd., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsPaavai Engineering College (Autonomous)NamakkalIndia
  2. 2.Deputy Directorate of StatisticsGovernment of Tamil NaduNamakkalIndia
  3. 3.Department of MathematicsAringar Anna Government Arts CollegeNamakkalIndia

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