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Title: Note on the Fredholm alternative for nonlinear operators (English)
Author: Fučík, Svatopluk
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 12
Issue: 2
Year: 1971
Pages: 213-226
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Category: math
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MSC: 35J60
MSC: 45G99
MSC: 47-80
MSC: 47H15
MSC: 47J05
idZBL: Zbl 0215.21201
idMR: MR0288641
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Date available: 2008-06-05T20:35:07Z
Last updated: 2012-04-27
Stable URL: http://hdl.handle.net/10338.dmlcz/105340
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Reference: [1] S. FUČÍK: Fredholm alternative for nonlinear operators in Banach spaces and its applications to the differential and integral equations.Comment. Math. Univ. Carolinae 11 (1970), 271-284 (preliminary communication). MR 0266000
Reference: [1a] : .Same as 1 (to appear in Čas. Pěst. Mat).
Reference: [2] R. I. KAČUROVSKIJ: Regular points, spectrum and eigenfunctions of nonlinear operators.(Russian), Dokl. Akad. Nauk SSSR 188 (1969), 274-277. MR 0251599
Reference: [3] M. A. KRASNOSELSKIJ: Topological methods in the theory of non-linear integral equations.Pergamon Press, N.Y. 1964.
Reference: [4] M. KUČERA: Fredholm alternative for nonlinear operators.Comment. Math. Univ. Carolinae 11 (1970), 337-363. MR 0267429
Reference: [5] J. NEČAS: Sur l'alternative de Fredholm pour les opérateurs non linéaires avec applications aux problèmes aux limites.Annali Scuola Norm. Sup. Pisa, XXII (1969), 331-345. Zbl 0187.08103, MR 0267430
Reference: [6] J. NEČAS: Remark on the Fredholm alternative for nonlinear operators with application to nonlinear integral equations of generalized Hammerstein type.(to appear). MR 0305171
Reference: [7] W. V. PETRYSHYN: Nonlinear equations involving noncompact operators.Proceedings of Symposia in Pure Math., Vol. XVIII, Part 1, 206-233, Providence, R.I., 1970. Zbl 0232.47070, MR 0271789
Reference: [8] S. I. POCHOŽAJEV: On the solvability of non-linear equations involving odd operators.Funct. Anal. and Appl. (Russian), 1 (1967), 66-73.
Reference: [9] M. M. VAJNBERG: Variational methods for the study of non-linear operators.Holden-Day, 1964.
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