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

DOI10.1007/978-3-642-54479-8_5zbMath1375.34041arXiv1310.8455OpenAlexW1911094914MaRDI QIDQ5403092

A. Korporal, Georg Regensburger

Publication date: 25 March 2014

Published in: Algebraic and Algorithmic Aspects of Differential and Integral Operators (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.8455

zbMATH Keywords

ordinary differential equationfactorizationintegro-differential operatorreverse order lawgeneralized Green's operatorsingular boundary problemlinear boundary problem

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Green's functions for ordinary differential equations (34B27) Linear boundary value problems for ordinary differential equations (34B05) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items

On the product of projectors and generalized inverses ⋮ Green's functions for reducible functional differential equations

Uses Software

• Maple
• IntDiffOp

Cites Work

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• On integro-differential algebras.
• An algebraic foundation for factoring linear boundary problems
• Solving and factoring boundary problems for linear ordinary differential equations in differential algebras
• Generalized inverses. Theory and applications.
• The algebra of integro-differential operators on an affine line and its modules.
• A new symbolic method for solving linear two-point boundary value problems on the level of operators
• An introduction to ordinary differential equations
• On differential Rota-Baxter algebras.
• Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Gröbner Bases
• On the product of projectors and generalized inverses
• Regular and Singular Boundary Problems in Maple
• A Symbolic Framework for Operations on Linear Boundary Problems
• On the product of oblique projectors
• A Symbolic Approach to Boundary Problems for Linear Partial Differential Equations
• A symbolic framework for general polynomial domains in theorema
• The algebra of integro-differential operators on a polynomial algebra
• Some Examples of Generalized Green’s Functions and Generalized Green’s Matrices