- Turkish Journal of Mathematics
- Vol: 33 Issue: 3
- Oscillation of higher-order nonlinear delay differential equations with oscillatory coefficients
Oscillation of higher-order nonlinear delay differential equations with oscillatory coefficients
Authors : Oscillation Of Higher-order Nonlinear De Equations
Pages : 259-263
View : 9 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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(k(t))]^{(n-1]' +p(t)F(x(t(t)))+q(t)G(x(s(t)))= f(t), where t\geq t0, n\geq 2, a,p are positive, r,q,f are allowed to alternate in sign infinitely many times, F,G are continuous functions, and k,t,s are strictly increasing unbounded continuous delay functions.Keywords : Neutral differential equations, positive and oscillating coefficients