In response to the severe floor heave problem of the+1100m track crosscut in Liuyuanzi Coal Mine, it was found that exists a hard top and soft bottom surrounding rock environment. FLAC3D simulation used study stress, plastic zone, displacement when is supported by bolt-mesh+Shotcrete+36U-type steel combined support circular shed support. The results show latter reduces 57%.

This work is concerned with controlled stochastic Kolmogorov systems. Such systems have received much attention recently owing to the wide range of applications in biology and ecology. Starting basic premise that underlying system has an optimal control, this paper devoted designing numerical methods for approximation. Different from existing literature on controls, take values first quadrant. ...