differential inequality

基本解释

First, a singular impulsive differential inequality with delays is established.
首先建立了一个奇异脉冲时滞微分不等式；
Among ordinary differential equation equations, differential inequality is a useful tool which helps research on properties of equation-solving.
在常微分方程论中，微分不等式是研究方程解的各种属性的有用工具。
Using the method of boundary layer correction and the differential inequality theory, we prove the existence theorem of solutions and construct the uniformly valid asymptotic expansions of .
我们利用边界层校正法以及微分不等式理论证明了解的存在定理，并构造出其解的一致有效渐近展开式。

微分不等式
By employing fixed point theorem and differential inequality techniques, we have proved the existence and uniqueness of the almost periodic solutions. Sufficient conditions for the global exponential stability of the almost periodic solutions are established by using Lyapunov functional method.
第二、对于具有分布时滞的并联限制细胞神经网络,在不假设激活函数有界的前提下,应用不动点定理和微分不等式的技巧证明了概周期解的存在性、唯一性,又通过构造适当的李雅普诺夫函数给出具有分稚时滞的并联限制细胞神经网络的鲁棒指数稳定性的充分条件。