New oscillation criteria for forced superlinear neutral type differential equations

Ethiraju Thandapani; Sivaraj Tamilvanan

doi:10.26637/mjm0101/009

Abstract

Some new oscillation criteria are established for the neutral type differential equation
$\left(a(t)\left((x(t)+p(t) x(\tau(t)))^{\prime}\right)^\alpha\right)^{\prime}+q(t) x^\beta(t)=e(t), t \geq t_0,$
which are applicable to equations with nonnegative forcing term. Examples are provided to illustrate the results.

Keywords:

Neutral differential equation, second order, oscillation, superlinear

Mathematics Subject Classification:

34C15

Authors Imprint References Funding Related Articles Downloads

Ethiraju Thandapani Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai-600005, India.
Sivaraj Tamilvanan Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai-600005, India.

Pages: 67-72
Date Published: 01-09-2012
Vol. 1 No. 1 (2012): Inaugural Issue :: Malaya Journal of Matematik (MJM)

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