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
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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
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