论文标题
半线性热方程与非天然冲动,记忆和延迟的近似可控性
Approximate controllability of semi-linear heat equation with Non-instantaneous impulses, memory and delay
论文作者
论文摘要
具有非触发冲动\ textbf {(nii)},内存和延迟的半线性热方程式,并获得了其近似可控性。这是通过采用一种避免固定点定理并将控制解决方案拉回固定曲线的技术来完成的。我们再次证明,在非持续冲动,记忆和延迟的影响下,系统的可控性是可靠的。最后,我们提出了一些开放的问题,也可能是研究非传闻性冲动的可控性的一般框架。
The semilinear heat equation with non-instantaneous impulses \textbf{(NII)}, memory, and delay is considered and its approximate controllability is obtained. This is done by employing a technique that avoids fixed point theorems and pulls back the control solution to a fixed curve in a short time interval. We demonstrate, once again, that the controllability of the system is robust under the influence of non-instantaneous impulses, memory, and delays. Finally, we present some open problems and a possible general framework to study the controllability of non-instantaneous impulses semilinear systems.