| Title:
|
Fredholm alternative for nonlinear operators in Banach spaces and its applications to the differential and integral equations (Preliminary communication) (English) |
| Author:
|
Fučík, Svatopluk |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
11 |
| Issue:
|
2 |
| Year:
|
1970 |
| Pages:
|
271-284 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47-80 |
| MSC:
|
47Hxx |
| idZBL:
|
Zbl 0195.42801 |
| idMR:
|
MR0266000 |
| . |
| Date available:
|
2008-06-05T20:32:22Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105278 |
| . |
| Reference:
|
[1] F. E. BROWDER D. G. de FIGUEIREDO: J-monotone nonlinear operators in Banach spaces.Konkl. Nederl. Acad. Wetensch. 69 (1966), 412-420. MR 0205122 |
| Reference:
|
[2] F. E. BROWDER W. V. PETRYSHYN: The topological degree and Galerkin approximations for noncompact operators in Banach spaces.Bull. Amer. Math. Soc. 74 (1968), 641-646. MR 0229100 |
| Reference:
|
[3] J. CRONIN: Fixed points and topological degree in nonlinear analysis.Amer. Math. Soc. 1964, Providence, R. I. Zbl 0117.34803, MR 0164101 |
| Reference:
|
[4] N. DUNFORD J. T. SCHWARTZ: Linear Operators I.(Russian), Moscow 1962. MR 0216303 |
| Reference:
|
[5] D. G. de FIGUEIREDO: Fixed point theorems for nonlinear operators and Galerkin approximations.Journ. Diff. Eq. 3 (1967), 271-281. Zbl 0149.10604, MR 0206761 |
| Reference:
|
[6] D. G. de FIGUEIREDO: Some remarks on fixed point theorems for nonlinear operators in Banach spaces.Lecture Series, Univ. of Maryland, 1967. Zbl 0176.45403 |
| Reference:
|
[7] D. G. de FIGUEIREDO: Topics in nonlinear analysis.Lecture Series, Univ. of Maryland, 1967. |
| Reference:
|
[8] M. A. KRASNOSELSKIJ: Topological methods in the theory of nonlinear integral equations.(Russian), Moscow 1956. |
| Reference:
|
[9] M. A. KRASNOSELSKIJ J. B. RUTICKIJ: Convex functions and Orlicz' spaces.(Russian), Moscow 1958. |
| Reference:
|
[10] E. A. MICHAEL A. PELCZYNSKI: Separable Banach spaces which admit $l\sb{n}{}\sp{\infty }$ -approximations.Israel Math. J. (1966), 189-198. MR 0211247 |
| Reference:
|
[11] J. NEČAS: Sur l'alternative de Fredholm pour les opérateurs non-linéaires avec applications aux problèmes aux limites.Ann. Scuola Norm. Sup. Pisa XIII (1969), 331-345. Zbl 0187.08103, MR 0267430 |
| Reference:
|
[12] W. V. PETRYSHYN: On a fixed point theorem for nonlinear P-compact operators in Banach space.Bull. Amer. Math. Soc. 72 (1966), 329-334. Zbl 0142.11201, MR 0193548 |
| Reference:
|
[13] W. V. PETRYSHYN: Remarks on the approximation-solvability of nonlinear functional equations.Arch. Rat. Mech. Anal. 26 (1967), 43-49. Zbl 0166.12701, MR 0220120 |
| Reference:
|
[14] W. V. PETRYSHYN: On the approximation-solvability of nonlinear equations.Math. Ann. 177 (1968), 156-164. Zbl 0162.20301, MR 0226458 |
| Reference:
|
[15] S. I. POCHOŽAJEV: On the solvability of nonlinear equations with odd operators.(Russian), Funkcional. anal. i ego přilož. 1 (1967), 66-73. MR 0221344 |
| Reference:
|
[16] S. I. POCHOŽAJEV: O množestve kritičeskich značenij funkcionalov.Mat. sbornik 75 (1968), 106-111. |
| Reference:
|
[17] S. SCHONEFELD: Schauder bases in spaces of differentiable functions.Bull. Amer. Math. Soc. 75 (1969), 586-590. Zbl 0201.16101, MR 0244753 |
| Reference:
|
[18] M. M. VAJNBERG: Variacionnyje metody issledovanija nelinejnych operatorov.Moskva 1956. |
| . |
