Easily Testable Necessary and Sufficient Algebraic Criteria for Delay-independent Stability of a Class of Neutral Differential Systems

Oscillation Criteria for Higher Order Nonlinear Generalized Neutral Difference Equations

In the present study we highlight some results related to the oscillation for high order nonlinear generalized neutral difference equation in the following form \begin{equation*} Δ_{\ell}\left(a(k)Δ_{\ell}^{m-1}z(k)\right)+q(k)f(x({k-ρ\ell}))=0, \label{1e} \end{equation*} where $z(k)=x(k)+p(k)x({τ(k)})$.

基于Krasnoselskii不动点定理的非线性中立型时滞微分方程有界性与稳定性新判据

New criteria for boundedness and stability of nonlinear neutral delay differential equations by Krasnoselskii's fixed point theorem

该研究利用Krasnoselskii不动点定理推导非线性中立型时滞微分方程有界性与稳定性的新判据，拓展了已有相关研究成果，并通过算例验证了结果的有效性。

Almost Oscillation Criteria for Second Order Neutral Difference Equation with Quasidifferences

Using the Riccati transformation techniques, we will extend some almost oscillation criteria for the second-order nonlinear neutral difference equation with quasidifferences $$Δ\left(r_n\left(Δ\left(x_n+c x_{n-k}\right)\right)^γ\right)+q_nx_{n+1}^α=e_n.$$

一阶中性时滞微分方程的振荡结果：具有多个正负系数

Oscillation results for first order neutral delay differential equations with several positive and negative coefficients

本文研究了一阶中性时滞微分方程的振荡问题，提出改进的充分条件，考虑正负系数和时间可变延迟，通过示例验证了结果的适用性。