The adjoint problem for coupled linear operators

DOI10.1007/BF03323155zbMath0721.47002OpenAlexW2064480428MaRDI QIDQ2640840

Michael K. Kinyon

Publication date: 1990

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323155

zbMATH Keywords

dual pairsadjointsboundary value problems for linear matrix differential systemscoupled linear operators

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Applications of operator theory to differential and integral equations (47N20) Equations and inequalities involving linear operators, with vector unknowns (47A50) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Boundary value problems for ordinary differential equations (34B99)

Cites Work

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• Operational calculus of linear relations
• Coupled linear operators
• Notes on generalized boundary value problems in Banach spaces. I: Adjoint and extension theory
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• The development of general differential and general differential-boundary systems
• Adjoint subspaces in Banach spaces, with applications to ordinary differential subspaces
• A linear differential system with general linear boundary conditions
• The Operator Theory of Generalized Boundary Value Problems
• A Representation Theorem for a Continuous Linear Transformation on a Space of Continuous Functions
• Boundary Value Problems for Linear Differential Systems
• A Nonhomogeneous Linear Differential System with Interface Conditions

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