Geodesic
Fredholm alternative for nonlinear operators and applications to partial differential equations and integral equations
Časopis pro pěstování matematiky, Tome 97 (1972) no. 1, pp. 65-71

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

DOI MR   Zbl

DOI : 10.21136/CPM.1972.117750
Classification : 47J05 
Nečas, Jindřich. Fredholm alternative for nonlinear operators and applications to partial differential equations and integral equations. Časopis pro pěstování matematiky, Tome 97 (1972) no. 1, pp. 65-71. doi: 10.21136/CPM.1972.117750
@article{10_21136_CPM_1972_117750,
     author = {Ne\v{c}as, Jind\v{r}ich},
     title = {Fredholm alternative for nonlinear operators and applications to partial differential equations and integral equations},
     journal = {\v{C}asopis pro p\v{e}stov\'an{\'\i} matematiky},
     pages = {65--71},
     year = {1972},
     volume = {97},
     number = {1},
     doi = {10.21136/CPM.1972.117750},
     mrnumber = {0308882},
     zbl = {0234.47050},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1972.117750/}
}
TY  - JOUR
AU  - Nečas, Jindřich
TI  - Fredholm alternative for nonlinear operators and applications to partial differential equations and integral equations
JO  - Časopis pro pěstování matematiky
PY  - 1972
SP  - 65
EP  - 71
VL  - 97
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CPM.1972.117750/
DO  - 10.21136/CPM.1972.117750
LA  - en
ID  - 10_21136_CPM_1972_117750
ER  - 
%0 Journal Article
%A Nečas, Jindřich
%T Fredholm alternative for nonlinear operators and applications to partial differential equations and integral equations
%J Časopis pro pěstování matematiky
%D 1972
%P 65-71
%V 97
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/CPM.1972.117750/
%R 10.21136/CPM.1972.117750
%G en
%F 10_21136_CPM_1972_117750

[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

[2] F. E. Browder: Existence theorems for non-linear partial differential equations. Proc. Amer. Math. Soc. 1968 Summer Institute in global Analysis (to appear).

[3] D. G. de Figueiredo, Ch. P. Gupta: Borsuk type theorems for non-linear non-compact mappings in Banach space. to appear.

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

[5] M. Kučera: Fredholm alternative for non-linear operators. thesis 1969, Charles University, Prague.

[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

[7] G. J. Minty: Monotone (non-linear) operators in Hilbert space. Duke Math. J. 29 (1962), 341-346. | MR

[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

[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.

[10] S. L. Pochožajev: On the solvability of non-linear equations involving odd operators. Functional Analysis and Appl. (Russian), I (1967), 66-73.

[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

Cité par Sources :