Oscillation of Third Order Quasilinear Advanced Differential Equation with ``Maxima


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Authors

  • G. Ayyappan Department of Mathematics, Periyar University College of Arts and Science, Pappireddipatti, Tamilnadu, India
  • P. Gayathri Department of Mathematics, Periyar University College of Arts and Science, Pappireddipatti, Tamilnadu, India
  • V. Mahadevan Department of Mathematics, Government College of Engineering, Salem, Tamilnadu, India

Keywords:

Third order, delay differential equation, oscillation, quasilinear

Abstract

This paper study the asymptotic properties of third order advanced differential equation with ``maxima'' of the form
$$\left(a(t)(x''(t))^\gamma \right)'+q(t)\max_{[t, \tau(t)]}x^\gamma(s)=0,~~t\geq t_0,$$
where $\gamma$ is ratio of odd positive integers. Give an example to illustrate the main results.

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Published

15-09-2018

How to Cite

G. Ayyappan, P. Gayathri, & V. Mahadevan. (2018). Oscillation of Third Order Quasilinear Advanced Differential Equation with ``Maxima. International Journal of Mathematics And Its Applications, 6(3), 231–236. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/375

Issue

Vol. 6 No. 3 (2018)

Section

Research Article

License

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