Projections for dichotomies in linear differential equations

Abstract

In this work we analyse the available projections in the definition of an (h, k)-dichotomy for a large class of linear differential equations. Coppel begins this study for ordinary differential systems. The obtained results can simultanously be applied to ordinary, difference and impulsive differential equations.

Keywords:

• (h, k)-dichotomies
• Linear impulsive systems
• Linear difference equations

^*Supported by Proyecto UDO-CI-5-025-00730/95

^†Supported by Proyecto Fondecyt 1960723

^*Supported by Proyecto UDO-CI-5-025-00730/95

^†Supported by Proyecto Fondecyt 1960723

Notes

^*Supported by Proyecto UDO-CI-5-025-00730/95

^†Supported by Proyecto Fondecyt 1960723