integro-differential equation

In this model, the authors established the integro-differential equation for the expected discounted penalty function at ruin in the case of constant force of interest.

就利息力为常数的情形，给出该模型下破产时刻罚金折现期望满足的积分-微分方程。

And then based on some properties of Metzler matrix, the positive definite problem of delay Volterra integro-differential equation is discussed in intensity continuous semi-group.

然后，利用Metzler矩阵的一些性质在强连续半群上讨论时滞Volterra积分微分方程的正定性问题。

The integro-differential equation and the explicit expression for the ruin probability are derived.

给出该模型的破产概率所满足的积分 - 微分方程及解析式.

The space-time discontinuous finite element method for a semi-linear parabolic integro-differential equation

半线性抛物型积分微分方程的间断时空有限元方法

By using of the new comparison principle and the order theory, the author investigates the existence of maximal and minimal solutions of terminal value problems for second order nonlinear integro-differential equation in Banach space, obtains the new results.

利用新的比较定理和半序理论，研究Banach空间二阶非线性积分-微分方程终值问题最小解和最大解的存在性，获得了新的结果。