Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
Fučík, Svatopluk. Fredholm alternative for nonlinear operators in Banach spaces and its applications to differential and integral equations. Časopis pro pěstování matematiky, Tome 96 (1971) no. 4, pp. 371-390. doi: 10.21136/CPM.1971.117736
@article{10_21136_CPM_1971_117736,
author = {Fu\v{c}{\'\i}k, Svatopluk},
title = {Fredholm alternative for nonlinear operators in {Banach} spaces and its applications to differential and integral equations},
journal = {\v{C}asopis pro p\v{e}stov\'an{\'\i} matematiky},
pages = {371--390},
year = {1971},
volume = {96},
number = {4},
doi = {10.21136/CPM.1971.117736},
mrnumber = {0326502},
zbl = {0221.47042},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1971.117736/}
}
TY - JOUR AU - Fučík, Svatopluk TI - Fredholm alternative for nonlinear operators in Banach spaces and its applications to differential and integral equations JO - Časopis pro pěstování matematiky PY - 1971 SP - 371 EP - 390 VL - 96 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/CPM.1971.117736/ DO - 10.21136/CPM.1971.117736 LA - en ID - 10_21136_CPM_1971_117736 ER -
%0 Journal Article %A Fučík, Svatopluk %T Fredholm alternative for nonlinear operators in Banach spaces and its applications to differential and integral equations %J Časopis pro pěstování matematiky %D 1971 %P 371-390 %V 96 %N 4 %U http://geodesic.mathdoc.fr/articles/10.21136/CPM.1971.117736/ %R 10.21136/CPM.1971.117736 %G en %F 10_21136_CPM_1971_117736
[1] F. E. Browder-D. G. de Figueredo: $J$-monotone Nonlinear Operators in Banach Spaces. Konkl. Nederl. Acad. Wetensch. 69, 1966, 412-420. | MR
[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 | Zbl
[3] J. Cronin: Fixed Point and Topological Degree in Nonlinear Analysis. Amer. Math. Soc. 1964, Providence, Rhode Island. | MR
[4] N. Dunford, J. T. Schwartz: инейные операторы I. Moscow 1962.
[5] D. G. de Figueiredo: Fixed-Point Theorems for Nonlinear Operators and Galerkin Approximations. Jour. Diff. Eq. 3, 1967, 271 - 281. | MR | Zbl
[6] D. G. de Figueiredo: Some Remarks on Fixed Point Theorems for Nonlinear Operators in Banach Spaces. Lecture Series, University of Maryland, 1967. | Zbl
[7] D. G. de Figueiredo: Topics in Nonlinear Analysis. Lecture Series, University of Maryland, 1967.
[8] M. A. Kpaсносельский: Tonoлогические методы в теории нелинейных интегральных уравнений. Mocквa 1956.
[9] M. A. Kpacноселский, Я. Б. Pymский: Выпуклые функции в пространствах Орлича. Mocквa 1958.
[10] E. A. Michael-A. Pelczynski: Separable Banach Spaces which admit $l_n^{\infty}$-approximations. Israel Math. Jour. 1966, 189-198. | MR
[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. | MR | Zbl
[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. | MR | Zbl
[13] W. V. Petryshyn: Remarks on the Approximation-Solvability of Nonlinear Functional Equations. Archive Rat. Mech. Anal. 26, 1967, 43-49. | MR | Zbl
[14] W. V. Petryshyn: On the Approximation-Solvability of Nonlinear Equations. Math. Annalen. 177, 1968, 156-164. | MR | Zbl
[15] C. И. Пoxoжaeв: Peшeниe нeлинeйныx ypaвнeний c чeтными oпepaтopaми. Фyнкц. aнaлиз и eгo пpилoжeния 1,1967, 66-73.
[16] C. И. Пoxoжaeв: O мнoжecтвe кpитичecкиx знaчeний фyнкциoнaлoв. Maт. cбopник 75, 1968, 106-111. | MR
[17] S. Schonefeld: Schauder Bases in Spaces of Differentiable Functions. Bull. Ameг. Math. Soc. 75, 1969,586-590. | MR | Zbl
[18] M. M. Baйнбepг: Bapиaциoнныe мeтoды иccлeдoвaния нeлинeйныx oпepaтopoв. Mocквa 1956.
[19] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Praha 1967. | MR
[20] M. Kučera: Fredholm Alternative for Nonlinear Operators. Comment. Math. Univ. Carolinae 11, 2, 1970, 337-363. | MR
Cité par Sources :