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Adjoint Interior-Point Boundary Conditions for Linear Differential Operators

Published online by Cambridge University Press:  20 November 2018

Robert Neff Bryan
Robert Neff Bryan*
Affiliation:
Dept of Math., The University of Western Ontario, London, Ontario Canada, N6A 5B9
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Extract

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The investigations reported in this paper were prompted by a remark by A. M. Krall in [2] that certain functional which appear in the boundary conditions of the system adjoint to a given linear differential boundary value problem seem artificial in that setting.

Keywords

34B10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 4 , 01 December 1977 , pp. 447 - 450
Copyright
Copyright © Canadian Mathematical Society 1977

References

1. Cole, R.H., Theory of Ordinary Differential Equations, Appleton-Century-Crofts, New York, 1968.Google Scholar
2. Krall, A.M., Boundary value problems with interior point boundary conditions, Pacific J. Math., Vol. 29 (1969) pp. 161-166.Google Scholar
3. Krall, A.M., Differential-boundary operators, Trans. Amer. Math. Soc, Vol. 154 (1971) pp. 429-458.Google Scholar
4. Locker, J., Self-adjointness for multi-point differential operators. Pacific J. Math., vol. 45 (1973) pp. 561-570.Google Scholar
5. Reid, W.T., Ordinary Differential Equations, John Wiley and Sons, New York, 1971.Google Scholar