Oscillation of a perturbed nonlinear third order functional differential equation

摘要

In this paper, the authors present some new results on the oscillatory andasymptotic behavior of solutions of the perturbed nonlinear third order functional differentialequationb(t)a(t)(x0(t))α00+ p(t)f(x(τ(t))) = h(t, x(t), x(τ(t)), x0(t)).In addition to other conditions, the authors assume that u f(u) > 0 for u 6= 0 and f isincreasing. Examples to illustrate the results are included.Keywords: third order differential equations, perturbed equations, delay argument,oscillation, asymptotic behavior.