Oscillation results for second order half-linear neutral delay differential equations with "maxima"

Main Article Content

Selvarangam Srinivasan
Rani Bose
Ethiraju Thandapani

Abstract

In this paper, we present some oscillation criteria for the second order half-linear neutral delay differential equation with ``maxima" of the from
\begin{equation*}
\left(r(t)((x(t)+p(t)x(\tau(t)))')^{\alpha}\right)'+q(t) \max_{[\sigma(t),\;t]}x^{\alpha}(s)=0
\end{equation*}
under the condition $\int_{t_0}^{\infty}\frac{1}{r^{1/ \alpha}(t)}dt<\infty.$ The results obtained here extend and complement to some known results in the literature. Examples are provided in support of our results.

Article Details

How to Cite
Srinivasan, S., Bose, R., & Thandapani, E. (2017). Oscillation results for second order half-linear neutral delay differential equations with "maxima". Tamkang Journal of Mathematics, 48(3), 289–299. https://doi.org/10.5556/j.tkjm.48.2017.2233
Section
Papers
Author Biographies

Selvarangam Srinivasan

Department of Mathematics, Presidency College, Chennai - 600 005, India.

Rani Bose

Department of Mathematics, Presidency College, Chennai - 600 005, India.

Ethiraju Thandapani, Professor

Ramanujan Institute for Advanced Study inMathematics, University ofMadras, Chennai - 600 005, India.

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