Boundary conditions for linear manifolds. I

DOI10.1016/0022-247X(80)90284-XzbMath0429.47013MaRDI QIDQ1137773

S. H. Smith

Publication date: 1980

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

zbMATH Keywords

adjointHilbert matrixGreen's formulasymmetric subspaceboundary form formulacomplementary boundary conditions

Mathematics Subject Classification ID

General theory of linear operators (47A99) Linear boundary value problems for ordinary differential equations (34B05)

Related Items

Constrained extremal solutions of multi-valued linear inclusions in Banach spaces, Constrained least-squares solutions of linear inclusions and singular control problems in Hilbert spaces, Solutions of bounded variation of linear integro-differential equations, Boundary conditions for linear manifolds. II: Algebraic properties and applications, Boundary conditions for linear manifolds. III: Infinite dimensional adjoints via solution spaces, Iteration scheme for nondensely defined ordinary differential operator equation, Metric generalized inverse for linear manifolds and extremal solutions of linear inclusion in Banach spaces, Nonhomogeneous boundary value problems for linear manifolds, Dense linear manifolds and application to linear differential operators, Infinitely many nonhomogeneous conditions

Cites Work

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• Notes on generalized boundary value problems in Banach spaces. I: Adjoint and extension theory
• Adjoint subspaces in Banach spaces, with applications to ordinary differential subspaces
• Coordinatized Adjoint Subspaces in Hilbert Spaces, with Application to Ordinary Differential Operators
• Finite Dimensional Perturbations of Differential Expressions
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations