Voir la notice de l'article provenant de la source Cambridge University Press
Brown, R. C. The Operator Theory of Generalized Boundary Value Problems. Canadian journal of mathematics, Tome 28 (1976) no. 3, pp. 486-512. doi: 10.4153/CJM-1976-050-4
@article{10_4153_CJM_1976_050_4,
author = {Brown, R. C.},
title = {The {Operator} {Theory} of {Generalized} {Boundary} {Value} {Problems}},
journal = {Canadian journal of mathematics},
pages = {486--512},
year = {1976},
volume = {28},
number = {3},
doi = {10.4153/CJM-1976-050-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-050-4/}
}
[1] 1. Akhiezer, N. I., The calculus of variations (Blaisdell, New York, 1962). Google Scholar
[2] 2. Arens, R., Operational calculus of linear relations, Pacific J. Math. 11 (1961), 9–23. Google Scholar
[3] 3. Coddington, E. A., Self-adjoint problems for nondensely defined ordinary differential operators and their eigenfunction expansions, Advances in Math. 15 (1975), 1–40. Google Scholar
[4] 4. Brown, R. C., Duality theory for nth. order differential operators under Stieltjes boundary conditions, SIAM J. Math. Anal. 6 (1975), 882–900. Google Scholar
[5] 5. Brown, R. C., Duality theory for nth. order differential operators under Stieltjes boundary conditions, II: non-sm∞th coefficients and non-singular measures, Ann. Mat. Pura Appl. 105 (1975), 141–170. Google Scholar
[6] 6. Brown, R. C., (yt Adjoint domains and generalized splines, Czechoslovak Math. J. 25 (1975), 134–137. Google Scholar
[7] 7. Dunford, N. and Schwartz, J., Linear operators, part I (Interscience, New York, 1957). Google Scholar
[8] 8. Goldberg, S., Unbounded linear operators (McGraw-Hill, New York, 1966). Google Scholar
[9] 9. Golomb, M. and Jerome, J., Linear ordinary differential equations with boundary conditions on arbitrary point sets, Trans. Amer. Math. Soc. 153 (1971), 235–264. Google Scholar
[10] 10. Jerome, J. W. and Schumaker, L. L., On Lg-splines, J. Approximation Theory 2 (1969), 29–49. Google Scholar
[11] 11. Kelley, J. L. and Namioka, I., Linear topological spaces (Van Nostrand, Princeton, New Jersey, 1963). Google Scholar
[12] 12. Kim, T., Investigation of a differential-boundary operator of the second order with an integral boundary condition on a semi-axis, J. Math. Anal. Appl. 44 (1973), 434–446. Google Scholar
[13] 13. Krall, A. M., A non-homogenous eigenfunction expansion, Trans. Amer. Math. Soc. 117 (1965), 352–361. Google Scholar
[14] 14. Krall, A. M., The adjoint of a differential operator with integral boundary conditions, Proc. Amer. Math. Soc. 16 (1965), 738–742. Google Scholar
[15] 15. Krall, A. M., The development of general differential and general differential-boundary systems, Rocky Mountain J. Math. 5 (1975), 493–542. Google Scholar
[16] 16. Naimark, M. A., Investigation of the spectrum and expansion in eigenfunctions of a nonselfadjoint differential operator of second order on a semi-axis, Trudy Moskov. Mat. Obsc. 3 (1954), 181-270; Amer. Math. Soc. Transi. 16 (1960), 103–194. Google Scholar
[17] 17. Naimark, M. A., Linear differential operators, part II (Ungar, New York, 1968). Google Scholar
[18] 18. Yosida, K., Functional analysis (Academic Press, New York, 1965). Google Scholar
Cité par Sources :