Volterra-Stieltjes integral equations with linear constraints and discontinuous solutions
Chaim Samuel Hönig
Source: Bull. Amer. Math. Soc. Volume 81, Number 3, Part 1
(1975), 593-598.
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Permanent link to this document: http://projecteuclid.org/euclid.bams/1183536880
Mathematical Reviews number (MathSciNet): MR0377219
Zentralblatt MATH identifier: 0345.45002
References
B. H. E. Bray, Elementary properties of Stieltjes integral, Ann. of Math. 20 (1918/19), 177-186.
D. N. Dinculeanu, Vector measures, Internat. Series of Monographs in Pure and Appl. Math., vol. 95, Pergamon Press, Oxford; VEB Deutscher Verlag der Wissenschaften, Berlin, 1967. MR 34 #6011b.
Zentralblatt MATH: 0142.10502
Mathematical Reviews (MathSciNet): MR206190
G. M. Gowurin, Über die Stieltjes Integration abstrakter Funktionen, Fund. Math. 27 (1936), 255-268.
Zentralblatt MATH: 0016.06104
H. T. H. Hildebrandt, Introduction to the theory of integration, Pure and Appl. Math., vol. 13, Academic Press, New York, 1963. MR 27 #4900.
Zentralblatt MATH: 0112.28302
Mathematical Reviews (MathSciNet): MR154957
H.l. C. S. Hönig, The Green function of a linear differential equation with a lateral condition, Bull. Amer. Math. Soc. 79 (1973), 587-593. MR 47 #581.
Zentralblatt MATH: 0279.34053
Mathematical Reviews (MathSciNet): MR312019
Digital Object Identifier: doi:10.1090/S0002-9904-1973-13214-8
Project Euclid: euclid.bams/1183534676
H.2. C. S. Hönig, The abstract Riemann-Stieltjes integral and its applications to linear differential equations with generalized boundary conditions, Notas do Instituto de Matemática e Estatistica da Universidade de São Paulo, Série Matemática no1, 1973.
Zentralblatt MATH: 0372.34038
Mathematical Reviews (MathSciNet): MR460561
H.3. C. S. Hönig, Volterra-Stieltjes integral equations, Math. Studies, vol. 16, North Holland, Amsterdam, 1975.
Zentralblatt MATH: 0307.45002
Mathematical Reviews (MathSciNet): MR499969
K. H. S. Kaltenborn, Linear functional operations on functions having discontinuities of the first kind, Bull. Amer. Math. Soc. 40 (1934), 702-708.
Zentralblatt MATH: 0010.16905
Mathematical Reviews (MathSciNet): MR1562957
Digital Object Identifier: doi:10.1090/S0002-9904-1934-05949-4
Project Euclid: euclid.bams/1183497759
M. J. S. MacNerney, Stieltjes integrals in linear spaces, Ann.of Math. (2) 61 (1955), 354-367. MR 16, 716.
Zentralblatt MATH: 0064.36203
Mathematical Reviews (MathSciNet): MR67354
Digital Object Identifier: doi:10.2307/1969918
Bulletin of the American Mathematical Society