On 2D integro-differential systems. Stability and sensitivity analysis

Delay differential equations with differentiable solution operators on open domains in $C((-\infty,0],\mathbb{R}^n)$, and processes for Volterra integro-differential equations

For autonomous delay differential equations $x'(t)=f(x_t)$ we construct a continuous semiflow of continuously differentiable solution operators $x_0\mapsto x_t$, $t\ge0$, on open subsets of the Fréchet space $C((-\infty,0],\mathbb{R}^n)$. For nonautonomous equations this yields a continuous process of differentiable solution operators. As an application we obtain processes which incorporate all solutions of Volterra integro-differential equations $x'(t)=\int_0^tk(t,s)h(x(s))ds$

关于首导数处含小参数的偏积分微分方程的差分估计

About estimations of difference for the partial integro-differential equation with small parameter at the leading derivative

本文研究了二阶偏积分微分方程的奇摄动问题。得到了Cauchy问题解的估计。

希尔伯特空间中分数阶半线性积分-微分包含的近似能控性结果

Approximate controllability results for fractional semilinear integro-differential inclusions in Hilbert spaces

本文考虑了希尔伯特空间中的一类分数阶积分-微分包含。研究了一类分数阶积分微分控制系统的近似能控性。首先，我们在希尔伯特空间中建立了一类分数阶半线性积分-微分包含的近似能控性的充分条件。我们利用Bohnenblust-Karlin的不动点定理证明了我们的主要结果。进一步，我们将结果推广到研究非局部条件下的近似能控性概念。最后给出一个例子来说明我们的主要结果。

带衰减记忆的脉冲中立型积分微分方程的控制问题研究

Study on Control Problem of a Impulsive Neutral Integro-Differential Equations with Fading Memory

本文研究Banach空间中带衰减记忆的脉冲中立型积分微分方程的控制问题，通过构造无记忆线性方程的预解族证明线性与半线性系统的近似可控性，并给出实例验证。