Initial value method for linear boundary value problems

DOI10.1016/0022-247X(72)90219-3zbMath0243.34111OpenAlexW2034623565MaRDI QIDQ2554461

Alex McNabb

Publication date: 1972

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(72)90219-3

Mathematics Subject Classification ID

Fredholm integral equations (45B05) Linear boundary value problems for ordinary differential equations (34B05) Differential equations in abstract spaces (34G99)

Related Items (5)

Comparison theorems for differential equations ⋮ Comparison theorems for ordinary differential equations with general boundary conditions ⋮ Factorization and imbedding for general linear boundary value problems ⋮ An initial value theory for linear causal boundary value problems ⋮ Reduction of linear two-point boundary value problems with non-separable boundary conditions to Cauchy systems

Cites Work

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• Invariant imbedding as a basis for the solution of quantum mechanical problems
• On the equivalence between matrix Riccati equations and Fredholm resolvents
• A linear differential system with general linear boundary conditions
• Factorization of operators. II: A nonlinear Volterra method for numerical solution of linear Fredholm equations
• Factorization of operators. I: Algebraic theory and examples
• Factorization of operators III: initial value methods for linear two- point boundary value problems
• INVARIANT IMBEDDING AND THE REDUCTION OF TWO-POINT BOUNDARY VALUE PROBLEMS TO INITIAL VALUE PROBLEMS

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