This paper focuses on the on-line scheduling of real-time tasks on a 2-dimensional reconfigurable device,and introduces the notion of recognition-complete for scheduling algorithms,that is the algorithm do not reject a task when a feasible schedule for this task exists.

In this paper, we studied the entire explosive solutions for a class of semilinear elliptic equations with up-lower solutions method, we obtain a new sufficient condition for the existence of entire explosive solution for such equations with certain condition.