A MAPLE package for integro-differential operators and boundary problems

We present a Maple package for computing in algebras of integro-differential operators. This

provides the appropriate algebraic setting for treating boundary problems [7] for linear ordinary differential equations

symbolically. They allow to formulate a boundary problem - a differential equation and boundary conditions - but

they are also expressive enough for describing its solution via an integral operator, which is called Green's operator.

Our package provides procedures for algebraic operations on integro-differential operators as well as for solving LODEs

with general boundary conditions, given a fundamental system. The implementation was tested in Maple 11, 12

and 13. It is available with an example worksheet at http://www.risc.jku.at/people/akorpora/index.html.