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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Symmetric integro-differential-boundary problems

Author: Hyman J. Zimmerberg
Journal: Trans. Amer. Math. Soc. 188 (1974), 407-417
MSC: Primary 45J05
MathSciNet review: 0338717
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Abstract: 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.

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Keywords: Adjoint, boundary value problem, canonical form, differential system, integro-boundary condition, integro-differential-boundary problem, linear, operator, selfadjoint, symmetric
Article copyright: © Copyright 1974 American Mathematical Society