New oscillation criteria for forced superlinear neutral type differential equations
Authors :
Ethiraju Thandapania,* and Sivaraj Tamilvananb
Author Address :
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.
DOI :
Article Info :
Received : October 01, 2012; Accepted : October 27, 2012.