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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Volterra-Stieltjes integral equations with linear constraints and discontinuous solutions
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by Chaim Samuel Hönig PDF
Bull. Amer. Math. Soc. 81 (1975), 593-598
References
    B. H. E. Bray, Elementary properties of Stieltjes integral, Ann. of Math. 20 (1918/19), 177-186.
  • N. Dinculeanu, Vector measures, Hochschulbücher für Mathematik, Band 64, VEB Deutscher Verlag der Wissenschaften, Berlin, 1966. MR 0206189
    • G. M. Gowurin, Über die Stieltjes Integration abstrakter Funktionen, Fund. Math. 27 (1936), 255-268.
  • T. H. Hildebrandt, Introduction to the theory of integration, Pure and Applied Mathematics, Vol. XIII, Academic Press, New York-London, 1963. MR 0154957
  • Chaim Samuel Hönig, The Green function of a linear differential equation with a lateral condition, Bull. Amer. Math. Soc. 79 (1973), 587–593. MR 312019, DOI 10.1090/S0002-9904-1973-13214-8
  • Chaim Samuel Hönig, The abstract Riemann-Stieltjes integral and its applications to linear differential equation with generalized boundary conditions, Notas do Instituto de Matemática e Estatística da Universidade de São Paulo, Série Matemática, No. 1. [Notes of the Institute of Mathematics and Statistics of the University of São Paulo, Mathematics Series, No. 1], Universidade de São Paulo, São Paulo, 1973. MR 0460561
  • Chaim Samuel Hönig, Volterra Stieltjes-integral equations, Notas de Matemática, No. 56. [Mathematical Notes, No. 56], North-Holland Publishing Co., Amsterdam-Oxford; American Elsevier Publishing Co., Inc., New York, 1975. Functional analytic methods; linear constraints; Mathematics Studies, No. 16. MR 0499969
    • K. H. S. Kaltenborn, Linear functional operations on functions having discontinuities of the first kind, Bull. Amer. Math. Soc. 40 (1934), 702-708.
  • J. S. MacNerney, Stieltjes integrals in linear spaces, Ann. of Math. (2) 61 (1955), 354–367. MR 67354, DOI 10.2307/1969918
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 81 (1975), 593-598
  • MSC (1970): Primary 34G05, 45A05, 34A30, 45D05, 34B05; Secondary 26A45, 26A42, 28A45
  • DOI: https://doi.org/10.1090/S0002-9904-1975-13749-9
  • MathSciNet review: 0377219