Boundary value problems for generalized linear differential equations

Štefan Schwabik; Milan Tvrdý

Czechoslovak Mathematical Journal (1979)

  • Volume: 29, Issue: 3, page 451-477
  • ISSN: 0011-4642

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Schwabik, Štefan, and Tvrdý, Milan. "Boundary value problems for generalized linear differential equations." Czechoslovak Mathematical Journal 29.3 (1979): 451-477. <http://eudml.org/doc/13151>.

@article{Schwabik1979,
author = {Schwabik, Štefan, Tvrdý, Milan},
journal = {Czechoslovak Mathematical Journal},
keywords = {generalized linear differential equations},
language = {eng},
number = {3},
pages = {451-477},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Boundary value problems for generalized linear differential equations},
url = {http://eudml.org/doc/13151},
volume = {29},
year = {1979},
}

TY - JOUR
AU - Schwabik, Štefan
AU - Tvrdý, Milan
TI - Boundary value problems for generalized linear differential equations
JO - Czechoslovak Mathematical Journal
PY - 1979
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 29
IS - 3
SP - 451
EP - 477
LA - eng
KW - generalized linear differential equations
UR - http://eudml.org/doc/13151
ER -

References

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  1. Bryan R. H., 10.1016/0022-0396(69)90102-8, J. Differential Equations, 5 (1969), 38-48. (1969) Zbl0185.16201MR0232989DOI10.1016/0022-0396(69)90102-8
  2. Cole R. H., 10.1090/S0002-9947-1964-0159979-0, Trans. Amer. Math. Soc.,111 (1964), 521-550. (1964) Zbl0151.11101MR0159979DOI10.1090/S0002-9947-1964-0159979-0
  3. 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
  4. Kurzweil J., Generalized ordinary differential equations and continuous dependence on a parameter, Czechoslovak Math. J., 7 (82) (1957), 418-449. (1957) Zbl0090.30002MR0111875
  5. Kurzweil J., On integration by parts, Czechoslovak Math. J. 8 (83) (1958), 356-359. (1958) Zbl0094.03505MR0111877
  6. Schwabik Š., On an integral operator in the space of functions with bounded variation, Časopis pěst. mat., 97 (1972), 297-330. (1972) Zbl0255.47057MR0450906
  7. Schwabik Š., Tvrdý M., Vejvoda O., Differential and integral equations: Boundary value problems and adjoints, Academia, Praha& Reidel, Dordrecht, 1979. (1979) Zbl0417.45001MR0542283
  8. Tvrdý M., Boundary value problems for linear generalized differential equations and their adjoints, Czechoslovak Math. J., 23 (98) (1973), 183-197. (1973) Zbl0267.45013MR0320417
  9. Tvrdý M., Boundary value problems for generalized linear integrodifferential equations with left-continuous solutions, Časopis pěst. mat. 99 (1974), 147-157. (1974) Zbl0293.45011MR0405041
  10. Tvrdý M., Fredholm-Stieltjes integral equations with linear constraints. Duality theory, and Green's Function, Časopis pěst. mat., 104(1919), to appear. (1919) Zbl0437.45001MR0553170
  11. Vejvoda O., Tvrdý M., 10.1007/BF02414947, Ann. Mat. Purа Appl. 89 (1971), 169-216. (1971) Zbl0233.34022MR0316988DOI10.1007/BF02414947

Citations in EuDML Documents

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  1. Štefan Schwabik, Differential equations with interface conditions
  2. Zdeněk Halas, Continuous dependence of solutions of generalized linear ordinary differential equations on a parameter
  3. Milan Tvrdý, Fredholm-Stieltjes integral equations with linear constraints: duality theory and Green's function
  4. Zdeněk Halas, Continuous dependence of inverse fundamental matrices of generalized linear ordinary differential equations on a parameter
  5. Milan Tvrdý, Generalized differential equations in the space of regulated functions (boundary value problems and controllability)

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