Convergence Analysis Of Solutions For Some Class Of Set-valued Differential Equations

In recent times,set differential equations which are defined in semilinear metric space have gained many scholars' s importance attention.set differential equations generalized ordinary differential equations,for many applications in physics,biology and engineering.However,because of the complexity of the knowledge of set differential equations,its results of the qualitative and stability problems are not much.The paper discusses convergence of solutions for some class of set differential equations by using the method of quasilinearization.The main content of this paper includes the following three parts.In part one,under less restrictive conditions,we obtain quadratic convergence for function items are three of set differential equations with initial conditions by using the method of generalized quasilinearization.In part two,under certain conditions,we prove comparison theorem and discusses quadratic convergence of a periodic boundary value problem for set differential equations with ‘maxima'by using the method of quasilinearization.In part three,under certain conditions,we investigate higher order convergence for set differential equations with initial conditions by using the method of quasilinearization and introducing the definition of hyperconcave and hyperconvex.And under hyperconcave or hyperconvex of right function,we prove higher order convergence for function items are two of set differential equations with initial conditions by having coupled upper lower solutions definition.