Displaying similar documents to “A remark on the oscillation of ordinary second order nonlinear differential equations”

Interval Oscillation for Second Order Nonlinear Differential Equations with a Damping Term

Hassan, Taher S. (2008)

Serdica Mathematical Journal

Similarity:

2000 Mathematics Subject Classification: 34C10, 34C15. It is the purpose of this paper to give oscillation criteria for the second order nonlinear differential equation with a damping term (a(t) y′(t))′ + p(t)y′(t) + q(t) |y(t)| α−1 y(t) = 0, t ≥ t0, where α ≥ 1, a ∈ C1([t0,∞);(0,∞)) and p,q ∈ C([t0,∞);R). Our results here are different, generalize and improve some known results for oscillation of second order nonlinear differential equations that are different from most...

Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations

Wantong Li (1997)

Annales Polonici Mathematici

Similarity:

A class of neutral nonlinear differential equations is studied. Various classifications of their eventually positive solutions are given. Necessary and/or sufficient conditions are then derived for the existence of these eventually positive solutions. The derivations are based on two fixed point theorems as well as the method of successive approximations.