模糊微分方程解的稳定性

Semigroups of Operators on Spaces of Fuzzy-Number-Valued Functions with Applications to Fuzzy Differential Equations

In this paper we introduce and study semigroups of operators on spaces of fuzzy-number-valued functions, and various applications to fuzzy differential equations are presented. Starting from the space of fuzzy numbers, many new spaces sharing the same properties are introduced. We derive basic operator theory results on these spaces and new results in the theory of semigroups of linear operators on fuzzy-number kind spaces. The theory we develop is used to solve classical fuzzy systems of differential equations, including, for example, the fuzzy Cauchy problem and the fuzzy wave equation. Thes…

具有模糊边界值的线性微分方程

Linear Differential Equations with Fuzzy Boundary Values

针对具有模糊边界值的线性微分方程，提出一种基于线性变换性质的方法求解模糊解，并证明解的唯一性及三角模糊数边界下解仍为三角模糊数。

不同空间中二十五次函数方程的稳定性

Stability on Quinquevigintic Functional Equation in Different Spaces

本文求解二十五次函数方程的一般解，并利用不动点方法证明其在矩阵赋范空间和矩阵非阿基米德模糊赋范空间中的稳定性。

具有双种群Allee效应及捕食者疾病的捕食-被捕食模型的动力学行为

Dynamical behavior of Predator-Prey with Allee Effect on Both Populations and Disease in Predator

本研究构建了含双种群Allee效应和捕食者疾病的捕食-被捕食模型，采用T-S和模糊脉冲控制验证三维系统稳定性，并通过数值模拟展示全局稳定性与模糊解。