Composing and Factoring Generalized Green's Operators and Ordinary Boundary Problems

@article{Korporal2012ComposingAF,
title={Composing and Factoring Generalized Green's Operators and Ordinary Boundary Problems},
author={Anja Korporal and G. Regensburger},
journal={ArXiv},
year={2012},
volume={abs/1310.8455}
}

We consider solution operators of linear ordinary boundary problems with “too many” boundary conditions, which are not always solvable. These generalized Green’s operators are a certain kind of generalized inverses of differential operators. We answer the question when the product of two generalized Green’s operators is again a generalized Green’s operator for the product of the corresponding differential operators and which boundary problem it solves. Moreover, we show that—provided a… CONTINUE READING