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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

The Green function of a linear differential equation with a lateral condition


Author: Chaim Samuel Hönig
Journal: Bull. Amer. Math. Soc. 79 (1973), 587-593
MSC (1970): Primary 34G05, 34A30, 34B05; Secondary 28A45, 46A10
MathSciNet review: 0312019
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  • N. Bourbaki, Élements de mathématique. XII. Premierère partie: Les structures fondamentales de l’analyse. Livre IV: Fonctions d’une variable réelle. (Théorie élémentaire). Chapitre IV: Équations différentielles. Chapitre V: Étude locale des fonctions. Chapitre VI: Développements tayloriens généralisés; formule sommatoire d’Euler-Maclaurin. Chapitre VII: La fonction gamma, Actualités Sci. Ind., no. 1132, Hermann et Cie., Paris, 1951 (French). MR 0045774 (13,631a)
  • Jürgen Batt and Heinz König, Darstellung linearer Transformationen durch vektorwertige Riemann-Stieltjes-Integrale, Arch. Math. 10 (1959), 273–287 (German). MR 0108708 (21 #7423)
  • Henri Cartan, Calcul différentiel, Hermann, Paris, 1967 (French). MR 0223194 (36 #6243)
  • N. Dinculeanu, Vector measures, International Series of Monographs in Pure and Applied Mathematics, Vol. 95, Pergamon Press, Oxford, 1967. MR 0206190 (34 #6011b)
  • Chaim Samuel Hönig, The abstract Riemann-Stieltjes integral and its applications to linear differential equation with generalized boundary conditions, Universidade de S ao Paulo. S ao Paulo, 1973. Notas do Instituto de Matemática e Estatística da Universidade de S ao Paulo, Série Matemática, No. 1. [Notes of the Institute of Mathematics and Statistics of the University of S ao Paulo, Mathematics Series, No. 1]. MR 0460561 (57 #554)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1973-13214-8
PII: S 0002-9904(1973)13214-8