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Title: Application of some existence theorems for the solutions of Hammerstein integral equations (English)
Author: Kolomý, Josef
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 7
Issue: 4
Year: 1966
Pages: 461-478
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Category: math
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MSC: 45-30
MSC: 45Gxx
MSC: 47Hxx
idZBL: Zbl 0156.35102
idMR: MR0209790
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Date available: 2008-06-05T20:23:42Z
Last updated: 2012-04-27
Stable URL: http://hdl.handle.net/10338.dmlcz/105079
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Reference: [1] J. KOLOMÝ: Some existence theorems for nonlinear problems.Comment. Math. Univ. Carolinae 7 (1966), 207-217. MR 0206763
Reference: [2] J. KOLOMÝ: Remark to the solution of nonlinear functional equations in Banach spaces.Comment. Math. Univ. Carolinae 5 (1964), 97-116. MR 0170237
Reference: [3] M. M. ВАЙНБЕРГ P. M. KAЧУРОВСКИЙ: К вариационной теории нелинейных операторов и уравнений.Докл. Aкад. H. CCCP, T. 29 (1959), No 6, 1199-1202.
Reference: [4] WANG-SHENG-WANG, LOU Yu-TONG, FENG BAO-QI: On the solutions of the Hammerstein integral equations. III.Chinese Math. Vol. 6 (1965), No 3, 363-374. MR 0203532
Reference: [5] C. L. DOLPH G. J. MINTY: On nonlinear integral equations of the Hammerstein type. Nonlinear integral equations.Proceedings of an Advanced Seminar, 196З. The University of Wisconsin Press, 1964, 99-154. MR 0161113
Reference: [6] I. I. KOLODNER: Equations of Hammerstein type in Hilbert space.Journ. of Math. and Mech. Vol. 13 (1964), 701-750. MR 0171184
Reference: [7] M. M. BAЙHБEPГ И. B. ШPAГИH: Oпepaтop Гaммepштeйнa в пpocтpaнcтвax Opличa I, II.Изв. в. yч. зaв., Maтeмaтикa 1965, Nо. 1 (44), 17-27, Nо. 3 (46), 32-37.
Reference: [8] M. C. БPОДCKИЙ Д. И. MИЛЬMAH: O цeнтpe выпyклoгo мнoжecтвa.Дoкл. aк. н. CCCP т. 59 (1948), Nо. 5, 837-840. MR 0024073
Reference: [9] F. E. BROWDER: Fixed-point theoгems for noncompact mappings in Hilbert space.Proc. Nat. Acad. Sci. U. S. A. 53 (1965), 1272-1276. MR 0178324
Reference: [10] D. GÖHDE: Zum Prinzip der kontraktiven Abbildung.Math. Nachr. З0 (1965), 251-258. MR 0190718
Reference: [11] M. M. BAЙHБEPГ: Bapиaциoнные мeтoды иccлeдoвaния нeлинeйныx oпepaтopoв.Mocквa 1956.
Reference: [12] M. M. BAЙHBEPГ: Heкoтopыe вoпpocы диффepeнциaльнoгo иcчиcлeния в линeйныx пpocтpaнcтвax.Уcп. мaт. нayк т. VІI, (1952), в. 4, 55-102.
Reference: [13] A. E. TAYLOR: Intгoduction to Functional Analysis.Wiley, New York, 1958.
Reference: [14] M. D. GEORGE: Completely well posed problems for nonlinеаr differential equations.Proc. Am. Math. Soc. 15 (1964), Nо 1, 96-100. MR 0159250
Reference: [15] М. М. ВАЙНВЕРГ: O минимуме выпуклых функционалов.Усп. мат. наук 20 (121), Nо. 1, 239-240, (1965). Zbl 0287.01013
Reference: [16] М. М. ВАЙНВЕРГ: O сходимости процесса наискорейшего спуска для нелинейных уравнений.Сиб. мат. ж. т. II (1961), Nо. 2, 201-220. Zbl 0196.54903, MR 0126732
Reference: [17] М. А. КРАСНОСЕЛЬСКИЙ: Топологические методы в теории нелинейных интегральных уравнений.Москва 1956. Zbl 0995.90522
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