Fu Hua

Oscillation Criteria for a Class of Second-Order Dierential Equation with Neutral Term

Yu-Ping Zhao & Fu Hua · Journal of Advances in Mathematics and Computer Science · 2021

This paper is concerned with oscillation criteria for a class of second-order dierential equation with neutral term.We obtain sucient conditions for the oscillation of this equation by using  Riccati transformation and some analytical skill.

Open access Research Article 10.9734/jamcs/2021/v36i230340

Existence of Nonoscillation Solutions of Higher-Order Nonlinear Neutral Differential Equations

Zhao Yu- Ping & Fu Hua · Asian Research Journal of Mathematics · 2020

In this paper, we consider the following higher-order nonlinear neutral differential equations: dn dtn [x(t) + cx(t - τ)] + (-1)n+1[P(t)f1 (x(t - σ)) - Q(t)f2 (x(t - δ))] = 0; t ≥ t0 where τ; σ; δ ∈ R+, c ∈ R; c ̸= ±1, and P(t); Q(t) ∈ C([t0; ∞); R+), fi(u) ∈ C(R; R), ufi(u) >...

Open access Research Article 10.9734/arjom/2020/v16i1030231

Existence of Nonoscillation Solutions of Second-order Neutral Dierential Equations

Zhao Yu-Ping & Fu Hua · Asian Research Journal of Mathematics · 2020

This paper is concerned with existence of nonoscillation solution for a family of second-order neutral differential equations with positive and negative coefficients. A sufficient conditions for existence of nonoscillation solution is obtained by contraction fixed point theorem,...

Open access Research Article 10.9734/arjom/2020/v16i730198