Bounded solutions to singularly perturbed systems of O.D.E.

https://doi.org/10.1016/0022-0396(92)90125-7Get rights and content
Under an Elsevier user license
open archive

Abstract

We consider existence and stability properties of bounded solutions to singular systems of O.D.E. The method we suggest considers the concept of singular maps between scales of Banach spaces and their properties. This theory is then applied to obtain existence and transversality of bounded solutions to singular systems of O.D.E.

Cited by (0)

This work has been performed under the auspices of G.N.F.M.-C.N.R. and within the activity of the research group “Evolution equations and applications,” M.P.I. Italy.