| Title:
|
$n$-th order ordinary differential systems under Stieltjes boundary conditions (English) |
| Author:
|
Brown, Richard C. |
| Author:
|
Krall, Allan M. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
27 |
| Issue:
|
1 |
| Year:
|
1977 |
| Pages:
|
119-131 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
34B25 |
| idZBL:
|
Zbl 0369.34006 |
| idMR:
|
MR0430394 |
| DOI:
|
10.21136/CMJ.1977.101450 |
| . |
| Date available:
|
2008-06-09T14:22:05Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101450 |
| . |
| Reference:
|
[1] R. Arens: Operational calcuhis of linear relations.Pacific J. Math. 11 (1961), 9-23. MR 0123188, 10.2140/pjm.1961.11.9 |
| Reference:
|
[2] R. C. Brown: Duality theory for $n$-th order differential operators under Stieltjes boundary conditions.S.I.A.M. J. Math. Anal., to appear. Zbl 0316.47027, MR 0385224 |
| Reference:
|
[3] R. С. Brown: Duality theory for $n$-th order differential operators under Stieltjes boundary conditions, II: nonsmooth coefficients and nonsingular measures.Ann. Mat. Рurа. Appl., to appear. Zbl 0316.47027, MR 0422745 |
| Reference:
|
[4] R. C. Brown: Adjoint domains and generalized splines.Czech. Math. J. 25 (1975), 134-147. Zbl 0309.41014, MR 0397243 |
| Reference:
|
[5] R. C. Brown: The operator theory of generalized boundary value problems.MRC Tech. Summ. Rept. #1446, June 1974. |
| Reference:
|
[6] E. A. Coddington: Self-adjoint subspace extensions of nondensely symmetric operators.Bull. Amer. Math. Soc. 79 (1973), 712-716. MR 0322568, 10.1090/S0002-9904-1973-13275-6 |
| Reference:
|
[7] E. A. Coddington: Eigenfunction expansions for nondensely defined operators generated by symmetric ordinary differential expressions.Bull. Amer. Math. Soc. 79 (1973), 964-968. Zbl 0285.47021, MR 0322592, 10.1090/S0002-9904-1973-13280-X |
| Reference:
|
[8] E. A. Coddington: Self-adjoint subspace extensions of nondensely defined symmetric operators.Advances in Math., 14 (1974), 309-332. Zbl 0307.47028, MR 0353032, 10.1016/0001-8708(74)90034-6 |
| Reference:
|
[9] E. A. Coddington: Self-adjoint problems for nondensely defined ordinary differential operators and their eigenfunction expansions.Advances in Math., to appear. Zbl 0307.47029, MR 0361927 |
| Reference:
|
[10] E. A. Coddington, N. Levinson: Theory of ordinary differential equations.McGraw Hill, New York, 1955. Zbl 0064.33002, MR 0069338 |
| Reference:
|
[11] N. Dunford, J. T. Schwartz: Linear operators. Part 1.Interscience, New York, 1957. |
| Reference:
|
[12] M. Hestenes: Calculus of variations and optimal control theory.Wiley, New York, 1966. Zbl 0173.35703, MR 0203540 |
| Reference:
|
[13] J. L. Kelley, I. Namioka: Linear topological spaces.Van Nostrand, Princeton, New Jersey, 1963. Zbl 0115.09902, MR 0166578 |
| Reference:
|
[14] A. M. Krall: Differential-boundary operators.Trans. Amer. Math. Soc., 154 (1971), 429-458. Zbl 0217.11802, MR 0271445, 10.1090/S0002-9947-1971-0271445-4 |
| Reference:
|
[15] A. M. Krall: Stietltjes differential-boundary operators.Proc. Amer. Math. Soc., 41 (1973), 80-86. MR 0320415, 10.1090/S0002-9939-1973-0320415-3 |
| Reference:
|
[16] A. M. Krall: Stieltjes differential-boundary operators II.Pacific J. Math., to appear. Zbl 0283.34027, MR 0372316 |
| Reference:
|
[17] A. M. Krall: Stieltjes differential-boundary operators III. Zbl 0294.34006 |
| Reference:
|
[18] A. M. Krall: The development of general differential and general differential-boundary systems.Rocky Mt. J. Math., to appear. Zbl 0322.34009, MR 0409946 |
| Reference:
|
[19] E. J. McShane: Integration.Princeton U. Press, 1944. Zbl 0060.13010, MR 0082536 |
| Reference:
|
[20] D. L. Rusell: Control theory of hyperbolic equations related to certain questions in harmonic analysis and spectral theory.J. Math. Anal. Appl. 40 (1972), 336-368. MR 0324228, 10.1016/0022-247X(72)90055-8 |
| . |
