| Title:
|
Fredholm alternative for nonlinear operators in Banach spaces and its applications to differential and integral equations (English) |
| Author:
|
Fučík, Svatopluk |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
96 |
| Issue:
|
4 |
| Year:
|
1971 |
| Pages:
|
371-390 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 0221.47042 |
| idMR:
|
MR0326502 |
| DOI:
|
10.21136/CPM.1971.117736 |
| . |
| Date available:
|
2009-09-23T08:19:20Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/117736 |
| . |
| Reference:
|
[1] F. E. Browder-D. G. de Figueredo: $J$-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. Zbl 0164.17003, MR 0229100 |
| Reference:
|
[3] J. Cronin: Fixed Point and Topological Degree in Nonlinear Analysis.Amer. Math. Soc. 1964, Providence, Rhode Island. MR 0164101 |
| Reference:
|
[4] N. Dunford, J. T. Schwartz: инейные операторы I.Moscow 1962. |
| Reference:
|
[5] D. G. de Figueiredo: Fixed-Point Theorems for Nonlinear Operators and Galerkin Approximations.Jour. 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, University of Maryland, 1967. Zbl 0176.45403 |
| Reference:
|
[7] D. G. de Figueiredo: Topics in Nonlinear Analysis.Lecture Series, University of Maryland, 1967. |
| Reference:
|
[8] M. A. Kpaсносельский: Tonoлогические методы в теории нелинейных интегральных уравнений.Mocквa 1956. |
| Reference:
|
[9] M. A. Kpacноселский, Я. Б. Pymский: Выпуклые функции в пространствах Орлича.Mocквa 1958. |
| Reference:
|
[10] E. A. Michael-A. Pelczynski: Separable Banach Spaces which admit $l_n^{\infty}$-approximations.Israel Math. Jour. 1966, 189-198. MR 0211247 |
| Reference:
|
[11] J. Nečas: Sur l'alternative de Fredholm pour les operateurs non-lineaires avec applications aux problemes aux limites.Ann. Scuola Norm. Sup. Pisa XXIII, 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.Archive 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. Annalen. 177, 1968, 156-164. Zbl 0162.20301, MR 0226458 |
| Reference:
|
[15] C. И. Пoxoжaeв: Peшeниe нeлинeйныx ypaвнeний c чeтными oпepaтopaми.Фyнкц. aнaлиз и eгo пpилoжeния 1,1967, 66-73. |
| Reference:
|
[16] C. И. Пoxoжaeв: O мнoжecтвe кpитичecкиx знaчeний фyнкциoнaлoв.Maт. cбopник 75, 1968, 106-111. MR 0221534 |
| Reference:
|
[17] S. Schonefeld: Schauder Bases in Spaces of Differentiable Functions.Bull. Ameг. Math. Soc. 75, 1969,586-590. Zbl 0201.16101, MR 0244753 |
| Reference:
|
[18] M. M. Baйнбepг: Bapиaциoнныe мeтoды иccлeдoвaния нeлинeйныx oпepaтopoв.Mocквa 1956. |
| Reference:
|
[19] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Praha 1967. MR 0227584 |
| Reference:
|
[20] M. Kučera: Fredholm Alternative for Nonlinear Operators.Comment. Math. Univ. Carolinae 11, 2, 1970, 337-363. MR 0267429 |
| . |
