@article{10_21136_CMJ_1973_101159,
author = {Tvrd\'y, Milan},
title = {Boundary value problems for linear generalized differential equations and their adjoints},
journal = {Czechoslovak Mathematical Journal},
pages = {183--217},
year = {1973},
volume = {23},
number = {2},
doi = {10.21136/CMJ.1973.101159},
mrnumber = {0320417},
zbl = {0267.45013},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1973.101159/}
}
TY - JOUR AU - Tvrdý, Milan TI - Boundary value problems for linear generalized differential equations and their adjoints JO - Czechoslovak Mathematical Journal PY - 1973 SP - 183 EP - 217 VL - 23 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1973.101159/ DO - 10.21136/CMJ.1973.101159 LA - en ID - 10_21136_CMJ_1973_101159 ER -
%0 Journal Article %A Tvrdý, Milan %T Boundary value problems for linear generalized differential equations and their adjoints %J Czechoslovak Mathematical Journal %D 1973 %P 183-217 %V 23 %N 2 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1973.101159/ %R 10.21136/CMJ.1973.101159 %G en %F 10_21136_CMJ_1973_101159
Tvrdý, Milan. Boundary value problems for linear generalized differential equations and their adjoints. Czechoslovak Mathematical Journal, Tome 23 (1973) no. 2, pp. 183-217. doi: 10.21136/CMJ.1973.101159
[1] Atkinson F. V.: Discrete and continuous boundary value problems. Academic Press, New York, London, 1964. | MR
[2] Bryan R. N.: A nonhomogeneous linear differential system with interface conditions. Proc. A.M.S. 22 (1969), 270-276. | MR | Zbl
[3] Coddington E. A., Levinson N.: Theory of ordinary differential equations. Mc Graw-Hill New York, Toronto, London, 1955. | MR | Zbl
[4] Halanay A., Moro A.: A boundary value problem and its adjoint. Ann. Mat. pura appl. 79 (1968), 399-412. | Zbl
[5] Hildebrandt T. H.: Introduction to the Theory of Integration. Academic Press, New York, London, 1963. | MR | Zbl
[6] Hildebrandt T. H.: On systems of linear differentio-Stieltjes integral equations. III. J. Math, 3 (1959), 352-373. | MR
[7] Jones W. R.: Differential systems with integral boundary conditions. Journ. Diff. Eq. 3 (1967), 191-202. | DOI | MR | Zbl
[8] Kurzweil J.: Generalized ordinary differential equations and continuous dependence on a parameter. Czech. Math. J. 7 (82) (1957), 418-449. | MR | Zbl
[9] Kurzweil J.: Generalized ordinary differential equations. Czech. Math. J. 8 (83) (1958), 360-389. | MR | Zbl
[10] Kurzweil J.: Unicity of solutions of generalized differential equations. Czech. Math. J. 8 (83) (1958), 508-509. | MR | Zbl
[11] Kurzweil J.: On integration by parts. Czech. Math. J. 8 (83) (1958), 356-359. | MR | Zbl
[12] Schwabik Št.: Stetige Abhängigkeit von einem Parameter und Invariante Mannigfaltigkeiten für verallgemeinerte Differentialgleichungen. Czech. Math. J. 19 (94) (1969), 398 - 426. | MR | Zbl
[13] Schwabik Št.: Verallgemeinerte lineare Differentialgleichungssysteme. Čas. pěst. mat. 96 (1971), 183-211. | MR | Zbl
[14] Schwabik Št.: On an integral operator in the space of functions with bounded variation. Čas. pěst. mat. 97 (1972), 297-330. | MR | Zbl
[15] Schwabik Št.: On the relation between Young's and Kurzweil's concept of Stieltjes integral. Čas. pěst. mat., 98 (1973), 3. | MR | Zbl
[16] Schwabik Št.: Remark on linear equations in Banach space. Czech. Math. J., to appear. | MR | Zbl
[17] Schwabik Št., Tvrdý M.: On generalized linear differential equations. Čas. pěst. mat., 98 (1973), 206-211. | MR
[18] Taufer J.: Lösung der Randwertaufgaben für Systeme linearer Differentialgleichungen. Rozpravy ČSAV, to appear.
[19] Tvrdý M., Vejvoda О.: Existence of solutions to a linear integro-boundary-differential equation with additional conditions. Ann. Mat. pura appl. 89 (1971), 169-216. | MR
[20] Tvrdý M., Vejvoda O.: General boundary value problem for an integro-differential system and its adjoint. Čas. pěst. mat. 97 (1972), 399-419 and 98 (1973), 26-42.
[21] Tvrdý M.: Boundary value problems for generalized linear integrodifferential equations with left continuous solutions. Čas. pěst. mat., to appear. | MR
[22] Vrkoč I.: A note to the unicity of generalized differential equations. Czech. Math. J. 8 (83) (1958), 510-511. | MR
Cité par Sources :