A MAPLE Package for Integro-Differential Operators and Boundary Problems
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We present a Maple package for computing in algebras of integro-differential operators. This provides the appropriate algebraic setting for treating boundary problems 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.