Averaging for Ordinary Dierential Equations and Functional Dierential Equations

摘要: A nonstandard approach to averaging theory for ordinary dierential equations and functional is developed. We define a notion of perturbation we obtain results under weaker conditions than the in literature. The classical theorems approximate solutions system by averaged system, Lipschitz continuous vector fields, when exist on same interval as system. extend these perturbations fields which are uniformly spatial variable with respect time without any restriction existence solution.