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Volterra-Stieltjes integral equations with linear constraints and discontinuous solutions
Author(s):
Chaim Samuel
Hönig
Journal:
Bull. Amer. Math. Soc.
81
(1975),
Part 1:593-598.
MSC (1970):
Primary 34G05, 45A05, 34A30, 45D05, 34B05;
Secondary 26A45, 26A42, 28A45
MathSciNet review:
0377219
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Additional information
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. MR 206190
- G. M. Gowurin, Über die Stieltjes Integration abstrakter Funktionen, Fund. Math. 27 (1936), 255-268.
- H. T. H. Hildebrandt, Introduction to the theory of integration, Pure and Appl. Math., vol. 13, Academic Press, New York, 1963. MR 27 #4900. MR 154957
- 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. MR 312019
- 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. MR 460561
- H.3. C. S. Hönig, Volterra-Stieltjes integral equations, Math. Studies, vol. 16, North Holland, Amsterdam, 1975. MR 499969
- K. H. S. Kaltenborn, Linear functional operations on functions having discontinuities of the first kind, Bull. Amer. Math. Soc. 40 (1934), 702-708.
- M. J. S. MacNerney, Stieltjes integrals in linear spaces, Ann.of Math. (2) 61 (1955), 354-367. MR 16, 716. MR 67354
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34G05, 45A05, 34A30, 45D05, 34B05, 26A45, 26A42, 28A45
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34G05, 45A05, 34A30, 45D05, 34B05, 26A45, 26A42, 28A45
Additional Information:
DOI:
10.1090/S0002-9904-1975-13749-9
PII:
S 0002-9904(1975)13749-9
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