Turkish Journal of Mathematics
DOI
10.3906/mat-0704-2
Abstract
A criterion is established on the bounded solutions of type higher-order nonlinear neutral differential equations of type oscillatory or tending to zero at infinity [a(t) [x(t)+r(t)x(\kappa(t))]^{(n-1]' +p(t)F(x(\tau(t)))+q(t)G(x(\sigma(t)))= \phi(t), where t\geq t_0, n\geq 2, a,p are positive, r,q,\phi are allowed to alternate in sign infinitely many times, F,G are continuous functions, and \kappa,\tau,\sigma are strictly increasing unbounded continuous delay functions.
Keywords
Neutral differential equations, positive and oscillating coefficients
First Page
259
Last Page
263
Recommended Citation
KARPUZ, BAŞAK; ÖCALAN, ÖZKAN; and YILDIZ, MUSTAFA KEMAL
(2009)
"Oscillation of higher-order nonlinear delay differential equations with oscillatory coefficients,"
Turkish Journal of Mathematics: Vol. 33:
No.
3, Article 6.
https://doi.org/10.3906/mat-0704-2
Available at:
https://journals.tubitak.gov.tr/math/vol33/iss3/6
