Title of article :
Oscillation of higher-order nonlinear delay differential equations with oscillatory coefficients
Author/Authors :
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 , Yıldız, Mustafa Kemal Afyon Kocatepe University - Faculty of Science and Arts, ANS Campus - Department of Mathematics, TURKEY
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 ≥ t0 , n ≥ 2, a, p are positive, r, q, φ are allowed to alternate in sign infinitely many times, F,G are continuous functions, and κ, τ, σ are strictly increasing unbounded continuous delay functions
Keywords :
Neutral differential equations , positive and oscillating coefficients
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
