The main objective of this article is to study the oscillatory behavior of the solutions of the following nonlinear functional differential equations(a(t)x'(t))'+δ1p(t)x'(t) +δ2q(t)f(x(g(t))) ...The main objective of this article is to study the oscillatory behavior of the solutions of the following nonlinear functional differential equations(a(t)x'(t))'+δ1p(t)x'(t) +δ2q(t)f(x(g(t))) = 0,for 0 ≤ to≤ t, where 51 = :El and δ±1. The functions p,q,g : [t0, ∞) → R, f : R → are continuous, a(t) 〉 0,p(t) ≥0,q(t) 〉 0 for t ≥ to,lirn g(t) = ∞, and q is not identically zero on any subinterval of [to, ∞). Moreover, the functions q(t), g(t), and a(t) are continuously differentiable.展开更多
文摘The main objective of this article is to study the oscillatory behavior of the solutions of the following nonlinear functional differential equations(a(t)x'(t))'+δ1p(t)x'(t) +δ2q(t)f(x(g(t))) = 0,for 0 ≤ to≤ t, where 51 = :El and δ±1. The functions p,q,g : [t0, ∞) → R, f : R → are continuous, a(t) 〉 0,p(t) ≥0,q(t) 〉 0 for t ≥ to,lirn g(t) = ∞, and q is not identically zero on any subinterval of [to, ∞). Moreover, the functions q(t), g(t), and a(t) are continuously differentiable.