Regional Controllability of Semi-Linear Distributed Parabolic Systems: Theory and Simulation

The aim of this brief paper is to give several results concerning the regional controllability of distributed systems governed by semi-linear parabolic equations. We concentrate on the determination of a control achieving internal and boundary regional controllability. The approach is based on an extension of the Hilbert Uniqueness Method (HUM) and Schauder’s fixed point theorem. We give a numerical example developed in internal and boundary sub region. These numerical illustrations show the efficiency of the approach and lead to conjectures.

Interior gradient and Hessian estimates for the Dirichlet problem of semi-linear degenerate elliptic systems: A probabilistic approach

In this paper, we give interior gradient and Hessian estimates for systems of semi-linear degenerate elliptic partial differential equations on bounded domains, using both tools of backward stochastic differential equations and quasi-derivatives.

一类具有不连续源的奇摄动半线性微分方程组边值问题

讨论了一类具有不连续源的奇摄动半线性微分方程组边值问题,构造了形式渐近解.利用Hartman-Nagumo不等式证明了奇摄动半线性微分方程组的解的存在性与唯一性,利用Aumann介值定理,得到了该方程组解的光滑性,并且得到了一致有效估计.

红林电站栏污栅压差遥测系统的研制

为保证水力发电站安全运行，对红林电站栏污栅进行了遥测信道测试及系统设计。经采取了多种措施后不需在山顶建立中继站，并使用了无人值守，定时发射的遥测发射工作方式。实践证明，该系统建成后保证了电站良好运行。

一类二阶具功能性反应的食饵——捕食系统的脉冲控制

研究了具有脉冲作用和功能反应的二阶食饵一捕食系统.利用脉冲微分方程的F1★quet乘子理论、比较定理等方法,证明了当脉冲周期小于某个临界值时,系统存在一个全局渐进稳定的害虫灭绝周期解,并说明了系统的解是一致最终有界的.

哈尔顿飞剪的差动无级变速系统

本文对哈尔顿飞剪，从差动无级变速系统在其上的作用、差动无级变速系统及其变速原理、差动无级变速系统功率流动与速比关系这三个方面进行了探讨。