On Linear Differential Equations and Systems with Reflection
Classical Analysis and ODEs
2017-07-05 v1
Abstract
In this paper we develop a theory of linear differential systems analogous to the classical one for ODEs, including the obtaining of fundamental matrices, the development of a variation of parameters formula and the expression of the Green's functions. We also derive interesting results in the case of differential equations with reflection and generalize the Hyperbolic Phasor Addition Formula to the case of matrices.
Keywords
Cite
@article{arxiv.1707.00839,
title = {On Linear Differential Equations and Systems with Reflection},
author = {Alberto Cabada and F. Adrián F. Tojo},
journal= {arXiv preprint arXiv:1707.00839},
year = {2017}
}