Geodesic
Note on the Fredholm alternative for nonlinear operators
Commentationes Mathematicae Universitatis Carolinae, Tome 12 (1971) no. 2, pp. 213-226 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 35J60, 45G99, 47-80, 47H15, 47J05 
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Fučík, Svatopluk. Note on the Fredholm alternative for nonlinear operators. Commentationes Mathematicae Universitatis Carolinae, Tome 12 (1971) no. 2, pp. 213-226. http://geodesic.mathdoc.fr/item/CMUC_1971_12_2_a0/

[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

[1a] Same as 1 (to appear in Čas. Pěst. Mat).

[2] R. I. KAČUROVSKIJ: Regular points, spectrum and eigenfunctions of nonlinear operators. (Russian), Dokl. Akad. Nauk SSSR 188 (1969), 274-277. | MR

[3] M. A. KRASNOSELSKIJ: Topological methods in the theory of non-linear integral equations. Pergamon Press, N.Y. 1964.

[4] M. KUČERA: Fredholm alternative for nonlinear operators. Comment. Math. Univ. Carolinae 11 (1970), 337-363. | MR

[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. | MR | Zbl

[6] J. NEČAS: Remark on the Fredholm alternative for nonlinear operators with application to nonlinear integral equations of generalized Hammerstein type. (to appear). | MR

[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. | MR | Zbl

[8] S. I. POCHOŽAJEV: On the solvability of non-linear equations involving odd operators. Funct. Anal. and Appl. (Russian), 1 (1967), 66-73.

[9] M. M. VAJNBERG: Variational methods for the study of non-linear operators. Holden-Day, 1964.