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Article

Title: Generalized Volterra integral equations (English)
Author: Schwabik, Štefan
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 32
Issue: 2
Year: 1982
Pages: 245-270
Summary lang: Russian
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Category: math
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MSC: 26A39
MSC: 45D05
MSC: 47H15
idZBL: Zbl 0533.45001
idMR: MR654060
DOI: 10.21136/CMJ.1982.101800
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Date available: 2008-06-09T14:48:02Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101800
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Reference: [1] Artstein Z.: Continuous dependence of solutions of Volterra integral equations.SIAM J. Math. Anal., 6 (1975), 446-456. Zbl 0341.45005, MR 0361656, 10.1137/0506039
Reference: [2] Artstein Z.: Topological dynamics of ordinary differential equations and Kurzweil equations.J. Differential Equations, 23 (1977), 224-243. Zbl 0353.34044, MR 0432985, 10.1016/0022-0396(77)90128-0
Reference: [3] Artstein Z.: Continuous dependence of solutions of operator equations I.Trans. Amer. Math. Soc., 231 (1977), 143-166. Zbl 0368.47035, MR 0445351, 10.1090/S0002-9947-1977-0445351-1
Reference: [4] Henstock R.: Theory of integration.Butter worths, London 1963. Zbl 0154.05001, MR 0158047
Reference: [5] Kelley W. G.: A Kneser theorem for Volterra integral equations.Proc. Amer. Math. Soc., 40 (1973), 183-190. Zbl 0244.45003, MR 0316983, 10.1090/S0002-9939-1973-0316983-8
Reference: [6] Kurzweil J.: Generalized ordinary differential equations and continuous dependence on a parameter.Czech. Math. J., 7 (1957), 418-449. Zbl 0090.30002, MR 0111875
Reference: [7] Kurzweil J.: Generalized ordinary differential equations.Czech. Math. J., 8 (1958), 360 to 389. Zbl 0102.07003, MR 0111878
Reference: [8] Kurzweil J.: Nichtabsolut konvergente Integrale.Teubner Texte Math., В. G. Teubner, Leipzig 1980. Zbl 0441.28001, MR 0597703
Reference: [9] Mawhin J.: Introduction à l'Analyse.Univ. de Louvain, Inst. Mathématique, 1979. Zbl 0444.26002
Reference: [10] Miller R. K.: Nonlinear Volterra integral equations.Benjamin, Menlo Park, Calif., 1971. Zbl 0448.45004, MR 0511193
Reference: [11] Neustadt L. W.: On the solutions of certain integral-like operator equations.Arch. Rat. Mech. Anal, 38 (1970), 131-160. Zbl 0208.16701, MR 0262893, 10.1007/BF00249976
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