## n-th order ordinary differential systems under Stieltjes boundary conditions.(English)Zbl 0369.34006

### MSC:

 34B05 Linear boundary value problems for ordinary differential equations 34A30 Linear ordinary differential equations and systems 47E05 General theory of ordinary differential operators
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### References:

 [1] R. Arens: Operational calcuhis of linear relations. Pacific J. Math. 11 (1961), 9-23. · Zbl 0102.10201 [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 [3] R. C. Brown: Duality theory for $$n$$-th order differential operators under Stieltjes boundary conditions, II: nonsmooth coefficients and nonsingular measures. Ann. Mat. Pura. Appl., to appear. · Zbl 0316.47027 [4] R. C. Brown: Adjoint domains and generalized splines. Czech. Math. J. 25 (1975), 134-147. · Zbl 0309.41014 [5] R. C. Brown: The operator theory of generalized boundary value problems. MRC Tech. Summ. Rept. #1446, June 1974. [6] E. A. Coddington: Self-adjoint subspace extensions of nondensely symmetric operators. Bull. Amer. Math. Soc. 79 (1973), 712-716. · Zbl 0285.47020 [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 [8] E. A. Coddington: Self-adjoint subspace extensions of nondensely defined symmetric operators. Advances in Math., 14 (1974), 309-332. · Zbl 0307.47028 [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 [10] E. A. Coddington, N. Levinson: Theory of ordinary differential equations. McGraw Hill, New York, 1955. · Zbl 0064.33002 [11] N. Dunford, J. T. Schwartz: Linear operators. Part 1. Interscience, New York, 1957. [12] M. Hestenes: Calculus of variations and optimal control theory. Wiley, New York, 1966. · Zbl 0173.35703 [13] J. L. Kelley, I. Namioka: Linear topological spaces. Van Nostrand, Princeton, New Jersey, 1963. · Zbl 0115.09902 [14] A. M. Krall: Differential-boundary operators. Trans. Amer. Math. Soc., 154 (1971), 429-458. · Zbl 0217.11802 [15] A. M. Krall: Stietltjes differential-boundary operators. Proc. Amer. Math. Soc., 41 (1973), 80-86. [16] A. M. Krall: Stieltjes differential-boundary operators II. Pacific J. Math., to appear. · Zbl 0283.34027 [17] A. M. Krall: Stieltjes differential-boundary operators III. · Zbl 0294.34006 [18] A. M. Krall: The development of general differential and general differential-boundary systems. Rocky Mt. J. Math., to appear. · Zbl 0322.34009 [19] E. J. McShane: Integration. Princeton U. Press, 1944. · Zbl 0060.13010 [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. · Zbl 0244.93025
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