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

  title={Composing and Factoring Generalized Green's Operators and Ordinary Boundary Problems},
  author={Anja Korporal and G. Regensburger},
  • Anja Korporal, G. Regensburger
  • Published 2012
  • Mathematics, Computer Science
  • ArXiv
  • 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
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