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In this paper the boundary value problem of integro-differential equation is discussed and several basic theories of it are proved.

利用上解和下解的概念讨论了积分微分方程的边值问题,给出了几个基本定理。

We derive a homogeneous integro-differential equation with certain boundary conditions, describing the maximum surplus.

我们推导出破产前资产余额的最大值满足具有一定边界条件的齐次积分微分方程。

A new H^1-Galerkin mixed finite element method for hyperbolic type integro-differential equations is studied.

在半离散格式下,本文针对一类双曲型积分微分方程,研究了一个新的H^1-Galerkin混合有限元方法。

In this paper,a new structural method of supplementary function is introduced, and the method is used to prove differential identical equation or integral inequality.

本文给出辅助函数新的构造方法,并将它运用于微分恒等式和积分不等式的证

Applying dynamic program to the optimal control problem of this jump process,we obtain integro differential HJB equation.

对这一跳跃过程最优控制问题,我们应用动态规划原理得到了积分-微分( integro-differential)形式的 HJB方程。

By using the method of upper and lower solutions ,we obtain the existence of solutions for boundary value problem of second order integro differential equations of Volterra type in a normal cone.

利用上、下解法在正规锥上证明了二阶非线性Volterra型积分微分方程边值问题解的存在性。

In this paper, we consider lumped mass metheds for parabolic type integro-differential equations.

本文讨论了抛物型积分微分方程的集中质量法。

Chapter three deals with the controllability of a nonlinear integrodifferential systems ofSobolev type with nonlocal condition in Banach spaces. The results are obtained by using semi group theory and the Schauder fixed point theorem.

本章利用算子半群和Schauder不动点定理,在Banach空间中讨论了带有非局部初始条件的一类非线性Sobolev型积分微分系统的可控性问题。

Firstly, we analysize the boundary value problem for linear singular system, several properties for linear singular system are given, and then the existence for boundary value problem to nonlinear singular system is proved by using the previous properties discussed and Schauder's fixed point theorem.

接着,利用Banach不动点定理,研究了Volterra型广义积分微分系统边值问题解的存在唯一性,最后给出了几个推论。

This chapter deals with the existence of mild and strong solutions of a nonlinear integrodifferential systems of Sobolev type with nonlocal condition in Banach spaces.

本章在Banach空间中,用算子半群理论以及Schauder不动点定理讨论了一类非线性Sobolev型积分微分方程,在非局部初始条件下,适度解和强解的存在性。

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