Symmetric Integro-Differential-Boundary Problems

Necessary and sufficient conditions for a linear vector integro-differential-boundary problem to be symmetric (selfadjoint) are developed, and then applied to obtain canonical forms of such symmetric problems. Moreover, the formulation of the integro-boundary conditions herein yields a simplificatio...

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Bibliographic Details
Published in:Transactions of the American Mathematical Society 1974-01, Vol.188, p.407-417
Main Author: Zimmerberg, Hyman J.
Format: Article
Language:English
Subjects:
Adjoints
Boundary conditions
Canonical forms
Differential equations
Differentials
Mathematical constants
Mathematical vectors
Mathematics
Matrices
Sufficient conditions
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Summary:Necessary and sufficient conditions for a linear vector integro-differential-boundary problem to be symmetric (selfadjoint) are developed, and then applied to obtain canonical forms of such symmetric problems. Moreover, the formulation of the integro-boundary conditions herein yields a simplification of one of the conditions for selfadjointness of a differential-boundary operator previously announced.
ISSN:0002-9947
1088-6850
DOI:10.1090/S0002-9947-1974-0338717-9