Fredholm alternative for nonlinear operators in Banach spaces and its applications to the differential and integral equations (Preliminary communication)
Fučík, Svatopluk
Commentationes Mathematicae Universitatis Carolinae, Tome 011 (1970), p. 271-284 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1970-01-01
Classification:  47-80,  47Hxx 
@article{105278,
     author = {Svatopluk Fu\v c\'\i k},
     title = {Fredholm alternative for nonlinear operators in Banach spaces and its applications to the differential and integral equations (Preliminary communication)},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {011},
     year = {1970},
     pages = {271-284},
     zbl = {0195.42801},
     mrnumber = {0266000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/105278}
}

Fučík, Svatopluk. Fredholm alternative for nonlinear operators in Banach spaces and its applications to the differential and integral equations (Preliminary communication). Commentationes Mathematicae Universitatis Carolinae, Tome 011 (1970) pp. 271-284. http://gdmltest.u-ga.fr/item/105278/

F. E. Browder D. G. De Figueiredo J-monotone nonlinear operators in Banach spaces, Konkl. Nederl. Acad. Wetensch. 69 (1966), 412-420. (1966) | MR 0205122

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. (1968) | MR 0229100

J. Cronin Fixed points and topological degree in nonlinear analysis, Amer. Math. Soc. 1964, Providence, R. I. (1964) | MR 0164101 | Zbl 0117.34803

N. Dunford J. T. Schwartz Linear Operators I, (Russian), Moscow 1962. (1962) | MR 0216303

D. G. De Figueiredo Fixed point theorems for nonlinear operators and Galerkin approximations, Journ. Diff. Eq. 3 (1967), 271-281. (1967) | MR 0206761 | Zbl 0149.10604

D. G. De Figueiredo Some remarks on fixed point theorems for nonlinear operators in Banach spaces, Lecture Series, Univ. of Maryland, 1967. (1967) | Zbl 0176.45403

D. G. De Figueiredo Topics in nonlinear analysis, Lecture Series, Univ. of Maryland, 1967. (1967)

M. A. Krasnoselskij Topological methods in the theory of nonlinear integral equations, (Russian), Moscow 1956. (1956)

M. A. Krasnoselskij J. B. Rutickij Convex functions and Orlicz' spaces, (Russian), Moscow 1958. (1958)

E. A. Michael A. Pelczynski Separable Banach spaces which admit $l\sb{n}{}\sp{\infty }$ -approximations, Israel Math. J. (1966), 189-198. (1966) | MR 0211247

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. (1969) | MR 0267430 | Zbl 0187.08103

W. V. Petryshyn On a fixed point theorem for nonlinear P-compact operators in Banach space, Bull. Amer. Math. Soc. 72 (1966), 329-334. (1966) | MR 0193548 | Zbl 0142.11201

W. V. Petryshyn Remarks on the approximation-solvability of nonlinear functional equations, Arch. Rat. Mech. Anal. 26 (1967), 43-49. (1967) | MR 0220120 | Zbl 0166.12701

W. V. Petryshyn On the approximation-solvability of nonlinear equations, Math. Ann. 177 (1968), 156-164. (1968) | MR 0226458 | Zbl 0162.20301

S. I. Pochožajev On the solvability of nonlinear equations with odd operators, (Russian), Funkcional. anal. i ego přilož. 1 (1967), 66-73. (1967) | MR 0221344

S. I. Pochožajev O množestve kritičeskich značenij funkcionalov, Mat. sbornik 75 (1968), 106-111. (1968)

S. Schonefeld Schauder bases in spaces of differentiable functions, Bull. Amer. Math. Soc. 75 (1969), 586-590. (1969) | MR 0244753 | Zbl 0201.16101

M. M. Vajnberg Variacionnyje metody issledovanija nelinejnych operatorov, Moskva 1956. (1956)