Oscillation results for third order nonlinear neutral differential equations of mixed type

Ethiraju Thandapani; Renu Rama

doi:10.26637/mjm101/005

Abstract

Some oscillation results are obtained for the third order nonlinear mixed type neutral differential equations of the form
$\begin{align*} &\left(\left(x(t)+b(t) x\left(t-\tau_1\right)+c(t) x\left(t+\tau_2\right)\right)^\alpha\right)^{\prime \prime \prime}\\&=q(t) x^\beta\left(t-\sigma_1\right)+p(t) x^\gamma\left(t+\sigma_2\right), t \geq t_0 \end{align*}$
where $\alpha, \beta$ and $\gamma$ are ratios of odd positive integers $\tau_1, \tau_2, \sigma_1$ and $\sigma_2$ are positive constants.

Keywords:

Oscillation, neutral differential equations

Mathematics Subject Classification:

34C15

Authors Imprint References Funding Related Articles Downloads

Ethiraju Thandapani Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai -600 005, India.
Renu Rama Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai -600 005, India.

Pages: 38-49
Date Published: 01-01-2013
Vol. 1 No. 01 (2013): Malaya Journal of Matematik (MJM)

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