Oscillatory and Asymptotic Behavior of Third Order Half-linear Neutral Dierential Equation with \Maxima"

R Arul; A Ashok; G Ayyappan

doi:10.24297/jam.v13i3.6139

Oscillatory and Asymptotic Behavior of Third Order Half-linear Neutral Dierential Equation with \Maxima"

Authors

R Arul Kandaswami Kandar's College, Velur - 638 182, Namakkal Dt
A Ashok Kandaswami Kandar's College, Velur - 638 182, Namakkal Dt., Tamil Nadu,
G Ayyappan Periyar University College of Arts and Science, Pappireddipatti - 636 905, Tamil Nadu,

DOI:

https://doi.org/10.24297/jam.v13i3.6139

Keywords:

Oscillation, asymptotic behavior,, third order, half-linear neutral dierential equation with, maxima

Abstract

In this paper we study the oscillation and asymptotic behavior of the third order
neutral dierential equation with \maxima" of the form

where is the quotient of odd positive integers. Some examples are given to
illustrate the main results.

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Author Biographies

R Arul, Kandaswami Kandar's College, Velur - 638 182, Namakkal Dt

Department of Mathematics

A Ashok, Kandaswami Kandar's College, Velur - 638 182, Namakkal Dt., Tamil Nadu,

Department of Mathematics

G Ayyappan, Periyar University College of Arts and Science, Pappireddipatti - 636 905, Tamil Nadu,

Department of Mathematics

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Published

2017-04-27

How to Cite

Arul, R., Ashok, A., & Ayyappan, G. (2017). Oscillatory and Asymptotic Behavior of Third Order Half-linear Neutral Dierential Equation with \Maxima". JOURNAL OF ADVANCES IN MATHEMATICS, 13(3), 7219–7229. https://doi.org/10.24297/jam.v13i3.6139