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

@inproceedings{Korporal2012ComposingAF,
  title={Composing and Factoring Generalized Green's Operators and Ordinary Boundary Problems},
  author={Anja Korporal and G. Regensburger},
  booktitle={AADIOS},
  year={2012}
}
  • Anja Korporal, G. Regensburger
  • Published in AADIOS 2012
  • Computer Science, Mathematics
  • 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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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 28 REFERENCES
    Solving and factoring boundary problems for linear ordinary differential equations in differential algebras
    • 74
    • PDF
    Green's Functions and Boundary Value Problems
    • 912
    • PDF
    An algebraic foundation for factoring linear boundary problems
    • 30
    • PDF
    A new symbolic method for solving linear two-point boundary value problems on the level of operators
    • 58
    Regular and Singular Boundary Problems in Maple
    • 13
    • PDF
    Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Gröbner Bases
    • 38
    • PDF
    A Symbolic Framework for Operations on Linear Boundary Problems
    • 18
    • PDF
    On Differential Rota-Baxter Algebras
    • 98
    • PDF
    Some Examples of Generalized Green's Functions and Generalized Green's Matrices
    • 27