Generalized boundary value problems with abstract side conditions and their adjoints. I

 Access to full text

 Full (PDF)

1. Arens R., 10.2140/pjm.1961.11.9, Pacific J. Math. 11 (1961), 9-23. (1961) Zbl0102.10201MR0123188DOI10.2140/pjm.1961.11.9
2. Brown R. C., 10.1137/0506077, SIAM J. Math. Anal. 6 (1975), 882-900. (1975) Zbl0316.47027MR0385224DOI10.1137/0506077
3. Brown R. C., Duality theory for $n$-th order differential operators under Stieltjes boundary conditions II: nonsmooth coefficients and nonsingular measures, Ann. di Mat. pura ed appl. 105 (1975), 141-170. (1975) Zbl0316.47027MR0422745
4. Brown R. C., Adjoint domains and generalized splines, Czech. Math. J. 25 (100), (1975), 134-147. (1975) Zbl0309.41014MR0397243
5. Brown R. C., 10.4153/CJM-1976-050-4, Can. J. Math. 28 (1976), 486-512. (1976) Zbl0338.34008MR0412899DOI10.4153/CJM-1976-050-4
6. Brown R. С., Krall A. M., On minimizing the sum of squares of $L^2$ norms of differential operators under constraints, Czech. Math. J. 27 (102), (1977), 132-143. (1977) MR0430395
7. Brown R. С., Krall A. M., 10.1090/S0002-9947-1974-0358436-2, Trans. Amer. Math. Soc. 198 (1970), 73 - 92. (198) MR0358436DOI10.1090/S0002-9947-1974-0358436-2
8. Coddington E. A., Extension theory of formally normal and symmetric subspaces, Mem. Amer. Soc. 134 (1973). (1973) Zbl0265.47023MR0477855
9. Coddington E. A., Dijksma A., Adjoint subspaces in Banach spaces with applications to ordinary differential subspaces, Ann. di Mat. pura ed appl. CXVIII (1978), 1 - 118. (1978) Zbl0408.47035MR0533601
10. Dunford N., Schwartz J. T., Linear Operators I, Interscience, New York (1957). (1957) 
11. Koldberg S., Unbounded Linear Operators: Theory and applications, McGraw-Hill, New York (1966). (1966) MR0200692
12. Hönig Ch. S., Volterra-Stieltjes Integral Equations, Mathematics Studies 16, North-Holland, Amsterdam (1975). (1975) MR0499969
13. Hönig Ch. S., An unified representation theory for linear continuous operators between function spaces, to appear. 
14. Krall A. M., 10.1016/0022-0396(68)90019-3, J. Diff. Eq. 4 (1968), 327-336. (1968) Zbl0165.42702MR0230968DOI10.1016/0022-0396(68)90019-3
15. Krall A. M., Stieltjes differential-boundary operators III, Pacific J. Math., to appear. Zbl0294.34006MR0372316
16. Krall A. M., 10.1216/RMJ-1975-5-4-493, Rocky Mountain J. Math. 5 (1975), 493 - 542. (1975) Zbl0322.34009MR0409946DOI10.1216/RMJ-1975-5-4-493
17. Krall A. M., Brown R. C., $n$-th order differential systems under Stieltjes boundary conditions, MRC Tech. Summ. Rept # 1581. 
18. Luenberger D. G., Optimization by Vector Space Methods, John Wiley, New York (1969). (1969) Zbl0176.12701MR0238472
19. Parhimovič I. V., Multipoint boundary value problems for linear integro-differential equations in a class of smooth functions, (in Russian), Diff. urav. 8 (1972), 549-552. (1972) MR0298370
20. Pettis B. J., 10.1090/S0002-9947-1938-1501970-8, Trans. Amer. Math. Soc. 44 (1938), 277-304. (1938) Zbl0019.41603MR1501970DOI10.1090/S0002-9947-1938-1501970-8
21. Rudin W., Functional Analysis, Mc Graw-Hill (1973). (1973) Zbl0253.46001MR0365062
22. Schwabik Š., Tvrdý M., Vejvoda O., Differential and Integral Equations: Boundary Value Problems and Adjoints, Academia, Praha (1979). (1979) MR0542283
23. Tvrdý M., Boundary value problems for generalized linear differential equations and their adjoints, Czech. Math. J. 23 (98), (1973), 183-217. (1973) MR0320417
24. Tvrdý M., Boundary value problems for generalized linear integro-differential equations with left-continuous solutions, Čas. pěst. mat. 99 (1974), 147-157. (1974) MR0405041
25. Tvrdý M., Linear boundary value type problems for functional-differential equations and their adjoints, Czech. Math. J. 25 (100), (1975), 37-66. (1975) MR0374609
26. Tvrdý M., Vejvoda O., General boundary value problem for an integrodifferential system and its adjoint, Čas. pěst. mat. 97 (1972), 399-419 and 98 (1973), 26-42. (1972) MR0320672
27. Vejvoda O., Tvrdý M., Existence of solutions to a linear integro-boundary-diflferential equation with additional conditions, Ann. di Mat. pura ed appl. 89 (1971), 169-216. (1971) MR0316988
28. Wexler D., On boundary value problems for an ordinary differential system, Ann. di Mat. pura ed appl. 80 (1968), 123-134. (1968) MR0247242

1. Richard C. Brown, Milan Tvrdý, Generalized boundary value problems with abstract side conditions and their adjoints. II
2. Mihály Pituk, Adjoint operators and boundary value problems for linear differential equations
3. Richard C. Brown, Milan Tvrdý, Otto Vejvoda, Duality theory for linear $n$-th order integro-differential operators with domain in $L_m^p$ determined by interface side conditions