讲座内容：

In this talk, we investigate the asymptotic approximation of solutions of initial and boundary value problems for set-valued differential equations with maxima. Set-valued differential equations is one of the generalized forms of differential system, which can more accurately describe the motion trajectory of objects. It can also be used to study set-valued differential inclusions, fuzzy differential equations and other problems. However, due to the complexity of the set-valued differential equations itself, it is difficult to find its exact solution. In this paper, by using the averaging method, we mainly study the following set-valued differential equations with maxima

It is noted that the known results on the averaging method of set-valued differential equations are mostly in the case of the existence of the average limit of the right-hand function, it is rare to deal with that the averaging method for set-valued differential equations with right-hand side for the case when the limit of a method of an average does not exist. By introducing the concepts of Hausdorff measure and semideviation measure, the approximate relationship of the solutions between the original equations and the average equations is discussed via the averaging method when the average limit of the right-hand function exist or does not exist.