### New oscillation criteria for forced superlinear neutral type differential equations

#### Authors :

Ethiraju Thandapania,* and Sivaraj Tamilvananb

a,bRamanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai-600005, India.

*Corresponding author.

#### Abstract :

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

#### Keywords :

Neutral differential equation, second order, oscillation, superlinear.

#### Article Info :

Received : October 01, 2012; Accepted : October 27, 2012.

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