Linear Ordinary Differential Equations (ODEs) with constant coefficients are studied by looking in general at linear recurrence relations in a module with coefficients in an arbitrary Z-algebra. The bridge relating the two theories is the notion of formal Laplace transform associated to a sequence of invertibles. From this more economical perspec- tive, generalized Wronskians associated to solutions of linear ODEs will be revisited, mentioning their relationships with Schubert Calculus for Grassmannians.
|Titolo:||From linear recurrence relations to linear ODEs with constant coefficients|
|Data di pubblicazione:||2016|
|Digital Object Identifier (DOI):||10.1142/S0219498816501097|
|Appare nelle tipologie:||1.1 Articolo in rivista|