New oscillation criteria for forced superlinear neutral type differential equations

Ethiraju Thandapania,* and Sivaraj Tamilvananb

New oscillation criteria for forced superlinear neutral type differential equations

Authors :

Ethiraju Thandapani^a,* and Sivaraj Tamilvanan^b

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.