Title:
|
Remark on the Fredholm alternative for nonlinear operators with application to nonlinear integral equations of generalized Hammerstein type (English) |
Author:
|
Nečas, Jindřich |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
13 |
Issue:
|
1 |
Year:
|
1972 |
Pages:
|
109-120 |
. |
Category:
|
math |
. |
MSC:
|
35D05 |
MSC:
|
47B15 |
MSC:
|
47H15 |
MSC:
|
47H30 |
MSC:
|
47J05 |
MSC:
|
49G99 |
MSC:
|
58E05 |
idZBL:
|
Zbl 0235.47039 |
idMR:
|
MR0305171 |
. |
Date available:
|
2008-06-05T20:37:44Z |
Last updated:
|
2012-04-27 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105399 |
. |
Reference:
|
[1] F. E. BROWDER: Existence and uniqueness theorems for solutions of non-linear boundary value problems.Proc. Symposia on Appl. Math. Amer. Math. Soc. 17 (1965), 24-49. MR 0197933 |
Reference:
|
[2] F. E. BROWDER: Existence theorems for non-linear partial differential equations.Proc. Amer. Math. Soc. 1968. Summer Institute in Global Analysis (to appear). |
Reference:
|
[3] F. E. BROWDER: Non-linear operators and non-linear equations of evolution in Banach spaces.Proceedings of the Symposium on Non-linear Functional Analysis, Amer. Math. Soc. April, 1968 in Chicago. To appear. |
Reference:
|
[4] D. G. de FIGUEIREDO, Ch. P. GUPTA: Borsuk type theorems for non-linear non-compact mappings in Banach Space.to appear. |
Reference:
|
[5] S. FUČÍK: Note on the Fredholm alternative for nonlinear operators.Comment. Math. Univ. Carolinae 12 (1971), 213-226. MR 0288641 |
Reference:
|
[6] M. A. KRASNOSELSKIJ: Topological methods in the theory of non-linear integral equations.Pergamon Press, N. T. 1964. |
Reference:
|
[7] M. KUČERA: Fredholm alternative for non-linear operators.thesis 1969, Charles University, Prague. |
Reference:
|
[8] M. KUČERA: Fredholm alternative for nonlinear operators.Comment. Math. Univ. Carolinae 11 (1970), 337-363. MR 0267429 |
Reference:
|
[9] J. NEČAS: Sur l'alternative de Fredholm pour les opérateurs non linéaires avec applications aux problèmes aux limites.Annali Scuola Norm. Sup. Pisa, XXIII (1969), 331-345. Zbl 0187.08103, MR 0267430 |
Reference:
|
[10] S. I. POCHOŽAJEV: On the solvability of non-linear equations involving odd operators.Functional Analysis and Appl. (Russian), 1 (1967), 66-73. |
Reference:
|
[11] M. M. VAJNBERG: Variational methods for the study of non-linear operators.Holden-Day, 1964. |
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