Title of article :
Oscillation of nonlinear neutral delay differential equations of second-order with positive and negative coefficients
Author/Authors :
Yıldız, Mustafa Kemal Afyon Kocatepe University - Faculty of Science and Arts, ANS Campus - Department of Mathematics, TURKEY , Karpuz, Basak Afyon Kocatepe University - Faculty of Science and Arts,ANS Campus - Department of Mathematics, TURKEY , Ocalan, Ozkan Afyon Kocatepe University - Faculty of Science and Arts, ANS Campus - Department of Mathematics, TURKEY
Abstract :
Some oscillation criteria for the following second-order neutral differential equation [x(t)pm r(t) f( x(t-gamma))] +p(t) g(x(t-alpha)) -q(t) g(x(t-beta )) = s(t) where tgeq t_0, gamma,alpha,beta in R^+ with alpha geq beta, r in C^2([t_0,infty ), R^+) , p,qin C([t_0,infty ),R^+) and f,gin C(R,R), sin C([ t_0,infty),R) have been obtained. Our results are not restricted with boundedness of solutions
Keywords :
Delay differential equations , neutral , nonlinear , oscillation , second , order
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
