| Title:
|
Fredholm alternative for nonlinear operators and applications to partial differential equations and integral equations (English) |
| Author:
|
Nečas, Jindřich |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
97 |
| Issue:
|
1 |
| Year:
|
1972 |
| Pages:
|
65-71 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47J05 |
| idZBL:
|
Zbl 0234.47050 |
| idMR:
|
MR0308882 |
| DOI:
|
10.21136/CPM.1972.117750 |
| . |
| Date available:
|
2009-09-23T08:20:36Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/117750 |
| . |
| 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] D. G. de Figueiredo, Ch. P. Gupta: Borsuk type theorems for non-linear non-compact mappings in Banach space.to appear. |
| Reference:
|
[4] M. A. Krasnoselskij: Topological methods in the theory of non-linear integral equations.Pergamon Press, N. Y., 1964. |
| Reference:
|
[5] M. Kučera: Fredholm alternative for non-linear operators.thesis 1969, Charles University, Prague. |
| Reference:
|
[6] J. Leray J. L. Lions: Queiques resultats de Višik sur les problemes elliptiques non lineaires par les méhodes de Minty-Browder.Bull. Soc. Math. France 93 (1965), 97-107. MR 0194733 |
| Reference:
|
[7] G. J. Minty: Monotone (non-linear) operators in Hilbert space.Duke Math. J. 29 (1962), 341-346. MR 0169064 |
| Reference:
|
[8] J. Nečas: Sur Palternative de Fredholm pour les operateurs non lineaires avec applications aux problemes aux limites.Annali Scuola Norm. Sup. Pisa, XXIII (1969), 331-345. MR 0267430 |
| Reference:
|
[9] J. Nečas: Remark on the Fredholm alternative for non-linear operators with application to non-linear integral equation of generalized Hammerstein type.to appear. |
| Reference:
|
[10] S. L. Pochožajev: On the solvability of non-linear equations involving odd operators.Functional Analysis and Appl. (Russian), I (1967), 66-73. |
| Reference:
|
[11] M. I. Višik: Quasilinear strongly elliptic system of differential equations having divergence form.(Russian), Trudy Mosk. Mat. Ob§5. I2 (1963), 125-184. MR 0156085 |
| . |
