Symmetric Integro-Differential-Boundary Problems
Open Access
- 1 February 1974
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 188, 407-417
- https://doi.org/10.2307/1996787
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.Keywords
This publication has 4 references indexed in Scilit:
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- Differential-Boundary OperatorsTransactions of the American Mathematical Society, 1971
- Differential systems with integral boundary conditionsJournal of Differential Equations, 1967
- General Boundary Conditions for an Ordinary Linear Differential SystemTransactions of the American Mathematical Society, 1964