Structure of solution spaces via transformation

doi:10.1016/j.aml.2007.07.003

Applied Mathematics Letters

Volume 21, Issue 5, May 2008, Pages 529-533

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Abstract

In this work a method for description of structures of solution spaces of some objects in Brandt and Ehresmann groupoids is presented. It is based on using a morphism, a transformation of the original object into another one that has a more transparent structure of its solution space. We demonstrate this approach on examples of functional, differential and functional differential equations.

Keywords

Canonical forms

Brandt and Ehresmann groupoids

Transformations

Linear differential equations

Abel functional equation

Functional differential equations