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Title: Boundary value problems for generalized linear differential equations (English)
Author: Schwabik, Štefan
Author: Tvrdý, Milan
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 29
Issue: 3
Year: 1979
Pages: 451-477
Summary lang: Russian
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Category: math
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MSC: 34B05
idZBL: Zbl 0424.34014
idMR: MR536070
DOI: 10.21136/CMJ.1979.101627
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Date available: 2008-06-09T14:35:33Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101627
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Reference: [1] Bryan R. H.: A linear differential system with general linear boundary conditions.J. Differential Equations, 5 (1969), 38-48. Zbl 0185.16201, MR 0232989, 10.1016/0022-0396(69)90102-8
Reference: [2] Cole R. H.: General boundary conditions for an ordinary linear differential system.Trans. Amer. Math. Soc.,111 (1964), 521-550. Zbl 0151.11101, MR 0159979, 10.1090/S0002-9947-1964-0159979-0
Reference: [3] Krall A. M.: The development of general differential and general differential-boundary systems.Rocky Mountain J. Math., 5 (1975), 493-542. Zbl 0322.34009, MR 0409946, 10.1216/RMJ-1975-5-4-493
Reference: [4] Kurzweil J.: Generalized ordinary differential equations and continuous dependence on a parameter.Czechoslovak Math. J., 7 (82) (1957), 418-449. Zbl 0090.30002, MR 0111875
Reference: [5] Kurzweil J.: On integration by parts.Czechoslovak Math. J. 8 (83) (1958), 356-359. Zbl 0094.03505, MR 0111877
Reference: [6] Schwabik Š.: On an integral operator in the space of functions with bounded variation.Časopis pěst. mat., 97 (1972), 297-330. Zbl 0255.47057, MR 0450906
Reference: [7] Schwabik Š., Tvrdý M., Vejvoda O.: Differential and integral equations: Boundary value problems and adjoints.Academia, Praha& Reidel, Dordrecht, 1979. MR 0542283
Reference: [8] Tvrdý M.: Boundary value problems for linear generalized differential equations and their adjoints.Czechoslovak Math. J., 23 (98) (1973), 183-197. MR 0320417
Reference: [9] Tvrdý M.: Boundary value problems for generalized linear integrodifferential equations with left-continuous solutions.Časopis pěst. mat. 99 (1974), 147-157. MR 0405041
Reference: [10] Tvrdý M.: Fredholm-Stieltjes integral equations with linear constraints. Duality theory, and Green's Function.Časopis pěst. mat., 104(1919), to appear. MR 0553170
Reference: [11] Vejvoda O., Tvrdý M.: Existence of solutions to a linear integro-differential equation with additional conditions.Ann. Mat. Purа Appl. 89 (1971), 169-216. MR 0316988, 10.1007/BF02414947
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