Turkish Journal of Mathematics
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 t\geq t_0, \gamma,\alpha,\beta \in R^+ with \alpha \geq \beta, r \in C^2([t_0,\infty ), R^+) , p,q\in C([t_0,\infty ),R^+) and f,g\in C(R,R), s\in C([ t_0,\infty),R) have been obtained. Our results are not restricted with boundedness of solutions.
DOI
10.3906/mat-0711-23
Keywords
Delay differential equations, neutral, nonlinear, oscillation, second-order.
First Page
341
Last Page
350
Recommended Citation
YILDIZ, M. K, KARPUZ, B, & ÖCALAN, Ö (2009). Oscillation of nonlinear neutral delay differential equations of second-order with positive and negative coefficients. Turkish Journal of Mathematics 33 (4): 341-350. https://doi.org/10.3906/mat-0711-23
