Article ID Journal Published Year Pages File Type
840836 Nonlinear Analysis: Theory, Methods & Applications 2012 14 Pages PDF
Abstract

An averaging principle is derived for the abstract nonlinear evolution equation where the almost periodic right hand-side is a continuous perturbation of the time-dependent family of linear operators determining a linear evolution system. It generalizes classical Henry’s results for perturbations of sectorial operators on fractional spaces. It is also proved that the main hypothesis of the nonlinear averaging principle is satisfied for general hyperbolic evolution equations introduced by Kato.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Authors
,