| Title:
|
Boundary value problems for linear generalized differential equations and their adjoints (English) |
| Author:
|
Tvrdý, Milan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
23 |
| Issue:
|
2 |
| Year:
|
1973 |
| Pages:
|
183-217 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
34B05 |
| idZBL:
|
Zbl 0267.45013 |
| idMR:
|
MR0320417 |
| DOI:
|
10.21136/CMJ.1973.101159 |
| . |
| Date available:
|
2008-06-09T14:01:06Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101159 |
| . |
| Reference:
|
[1] Atkinson F. V.: Discrete and continuous boundary value problems.Academic Press, New York, London, 1964. MR 0176141 |
| Reference:
|
[2] Bryan R. N.: A nonhomogeneous linear differential system with interface conditions.Proc. A.M.S. 22 (1969), 270-276. Zbl 0201.11002, MR 0241739 |
| Reference:
|
[3] Coddington E. A., Levinson N.: Theory of ordinary differential equations.Mc Graw-Hill New York, Toronto, London, 1955. Zbl 0064.33002, MR 0069338 |
| Reference:
|
[4] Halanay A., Moro A.: A boundary value problem and its adjoint.Ann. Mat. pura appl. 79 (1968), 399-412. Zbl 0194.11803 |
| Reference:
|
[5] Hildebrandt T. H.: Introduction to the Theory of Integration.Academic Press, New York, London, 1963. Zbl 0112.28302, MR 0154957 |
| Reference:
|
[6] Hildebrandt T. H.: On systems of linear differentio-Stieltjes integral equations. III.J. Math, 3 (1959), 352-373. MR 0105600 |
| Reference:
|
[7] Jones W. R.: Differential systems with integral boundary conditions.Journ. Diff. Eq. 3 (1967), 191-202. Zbl 0155.41102, MR 0206388, 10.1016/0022-0396(67)90024-1 |
| Reference:
|
[8] Kurzweil J.: Generalized ordinary differential equations and continuous dependence on a parameter.Czech. Math. J. 7 (82) (1957), 418-449. Zbl 0090.30002, MR 0111875 |
| Reference:
|
[9] Kurzweil J.: Generalized ordinary differential equations.Czech. Math. J. 8 (83) (1958), 360-389. Zbl 0102.07003, MR 0111878 |
| Reference:
|
[10] Kurzweil J.: Unicity of solutions of generalized differential equations.Czech. Math. J. 8 (83) (1958), 508-509. Zbl 0094.05901, MR 0111880 |
| Reference:
|
[11] Kurzweil J.: On integration by parts.Czech. Math. J. 8 (83) (1958), 356-359. Zbl 0094.03505, MR 0111877 |
| Reference:
|
[12] Schwabik Št.: Stetige Abhängigkeit von einem Parameter und Invariante Mannigfaltigkeiten für verallgemeinerte Differentialgleichungen.Czech. Math. J. 19 (94) (1969), 398 - 426. Zbl 0186.15901, MR 0252726 |
| Reference:
|
[13] Schwabik Št.: Verallgemeinerte lineare Differentialgleichungssysteme.Čas. pěst. mat. 96 (1971), 183-211. Zbl 0216.36603, MR 0288339 |
| Reference:
|
[14] Schwabik Št.: On an integral operator in the space of functions with bounded variation.Čas. pěst. mat. 97 (1972), 297-330. Zbl 0255.47057, MR 0450906 |
| Reference:
|
[15] Schwabik Št.: On the relation between Young's and Kurzweil's concept of Stieltjes integral.Čas. pěst. mat., 98 (1973), 3. Zbl 0266.26006, MR 0322113 |
| Reference:
|
[16] Schwabik Št.: Remark on linear equations in Banach space.Czech. Math. J., to appear. Zbl 0301.47017, MR 0390811 |
| Reference:
|
[17] Schwabik Št., Tvrdý M.: On generalized linear differential equations.Čas. pěst. mat., 98 (1973), 206-211. MR 0324119 |
| Reference:
|
[18] Taufer J.: Lösung der Randwertaufgaben für Systeme linearer Differentialgleichungen.Rozpravy ČSAV, to appear. |
| Reference:
|
[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 0316988 |
| Reference:
|
[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. |
| Reference:
|
[21] Tvrdý M.: Boundary value problems for generalized linear integrodifferential equations with left continuous solutions.Čas. pěst. mat., to appear. MR 0405041 |
| Reference:
|
[22] Vrkoč I.: A note to the unicity of generalized differential equations.Czech. Math. J. 8 (83) (1958), 510-511. MR 0111881 |
| . |
