Generalized Volterra integral equations

Štefan Schwabik

Czechoslovak Mathematical Journal (1982)

  • Volume: 32, Issue: 2, page 245-270
  • ISSN: 0011-4642

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Schwabik, Štefan. "Generalized Volterra integral equations." Czechoslovak Mathematical Journal 32.2 (1982): 245-270. <http://eudml.org/doc/13310>.

@article{Schwabik1982,
author = {Schwabik, Štefan},
journal = {Czechoslovak Mathematical Journal},
keywords = {generalized Volterra equation; generalized Perron integral; local existence; continuability; continuous dependence; uniqueness},
language = {eng},
number = {2},
pages = {245-270},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Generalized Volterra integral equations},
url = {http://eudml.org/doc/13310},
volume = {32},
year = {1982},
}

TY - JOUR
AU - Schwabik, Štefan
TI - Generalized Volterra integral equations
JO - Czechoslovak Mathematical Journal
PY - 1982
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 32
IS - 2
SP - 245
EP - 270
LA - eng
KW - generalized Volterra equation; generalized Perron integral; local existence; continuability; continuous dependence; uniqueness
UR - http://eudml.org/doc/13310
ER -

References

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  1. Artstein Z., 10.1137/0506039, SIAM J. Math. Anal., 6 (1975), 446-456. (1975) Zbl0341.45005MR0361656DOI10.1137/0506039
  2. Artstein Z., 10.1016/0022-0396(77)90128-0, J. Differential Equations, 23 (1977), 224-243. (1977) Zbl0353.34044MR0432985DOI10.1016/0022-0396(77)90128-0
  3. Artstein Z., 10.1090/S0002-9947-1977-0445351-1, Trans. Amer. Math. Soc., 231 (1977), 143-166. (1977) Zbl0368.47035MR0445351DOI10.1090/S0002-9947-1977-0445351-1
  4. Henstock R., Theory of integration, Butter worths, London 1963. (1963) Zbl0154.05001MR0158047
  5. Kelley W. G., 10.1090/S0002-9939-1973-0316983-8, Proc. Amer. Math. Soc., 40 (1973), 183-190. (1973) Zbl0244.45003MR0316983DOI10.1090/S0002-9939-1973-0316983-8
  6. Kurzweil J., Generalized ordinary differential equations and continuous dependence on a parameter, Czech. Math. J., 7 (1957), 418-449. (1957) Zbl0090.30002MR0111875
  7. Kurzweil J., Generalized ordinary differential equations, Czech. Math. J., 8 (1958), 360 to 389. (1958) Zbl0102.07003MR0111878
  8. Kurzweil J., Nichtabsolut konvergente Integrale, Teubner Texte Math., В. G. Teubner, Leipzig 1980. (1980) Zbl0441.28001MR0597703
  9. Mawhin J., Introduction à l'Analyse, Univ. de Louvain, Inst. Mathématique, 1979. (1979) Zbl0444.26002
  10. Miller R. K., Nonlinear Volterra integral equations, Benjamin, Menlo Park, Calif., 1971. (1971) Zbl0448.45004MR0511193
  11. Neustadt L. W., 10.1007/BF00249976, Arch. Rat. Mech. Anal, 38 (1970), 131-160. (1970) Zbl0208.16701MR0262893DOI10.1007/BF00249976

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