Fredholm alternative for nonlinear operators in Banach spaces and its applications to differential and integral equations

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1. F. E. Browder-D. G. de Figueredo, $J$-monotone Nonlinear Operators in Banach Spaces, Konkl. Nederl. Acad. Wetensch. 69, 1966, 412-420. (1966) MR0205122
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. (1968) Zbl0164.17003MR0229100
3. J. Cronin, Fixed Point and Topological Degree in Nonlinear Analysis, Amer. Math. Soc. 1964, Providence, Rhode Island. (1964) MR0164101
4. N. Dunford, J. T. Schwartz, инейные операторы I, Moscow 1962. (1962) 
5. D. G. de Figueiredo, Fixed-Point Theorems for Nonlinear Operators and Galerkin Approximations, Jour. Diff. Eq. 3, 1967, 271 - 281. (1967) Zbl0149.10604MR0206761
6. D. G. de Figueiredo, Some Remarks on Fixed Point Theorems for Nonlinear Operators in Banach Spaces, Lecture Series, University of Maryland, 1967. (1967) Zbl0176.45403
7. D. G. de Figueiredo, Topics in Nonlinear Analysis, Lecture Series, University of Maryland, 1967. (1967) 
8. M. A. Kpaсносельский, Tonoлогические методы в теории нелинейных интегральных уравнений, Mocквa 1956. (1956) 
9. M. A. Kpacноселский, Я. Б. Pymский, Выпуклые функции в пространствах Орлича, Mocквa 1958. (1958) 
10. E. A. Michael-A. Pelczynski, Separable Banach Spaces which admit $l_n^{\infty }$-approximations, Israel Math. Jour. 1966, 189-198. (1966) MR0211247
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. (1969) Zbl0187.08103MR0267430
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. (1966) Zbl0142.11201MR0193548
13. W. V. Petryshyn, Remarks on the Approximation-Solvability of Nonlinear Functional Equations, Archive Rat. Mech. Anal. 26, 1967, 43-49. (1967) Zbl0166.12701MR0220120
14. W. V. Petryshyn, On the Approximation-Solvability of Nonlinear Equations, Math. Annalen. 177, 1968, 156-164. (1968) Zbl0162.20301MR0226458
15. C. И. Пoxoжaeв, Peшeниe нeлинeйныx ypaвнeний c чeтными oпepaтopaми, Фyнкц. aнaлиз и eгo пpилoжeния 1,1967, 66-73. (1967) 
16. C. И. Пoxoжaeв, O мнoжecтвe кpитичecкиx знaчeний фyнкциoнaлoв, Maт. cбopник 75, 1968, 106-111. (1968) MR0221534
17. S. Schonefeld, Schauder Bases in Spaces of Differentiable Functions, Bull. Ameг. Math. Soc. 75, 1969,586-590. (1969) Zbl0201.16101MR0244753
18. M. M. Baйнбepг, Bapиaциoнныe мeтoды иccлeдoвaния нeлинeйныx oпepaтopoв, Mocквa 1956. (1956) 
19. J. Nečas, Les méthodes directes en théorie des équations elliptiques, Praha 1967. (1967) MR0227584
20. M. Kučera, Fredholm Alternative for Nonlinear Operators, Comment. Math. Univ. Carolinae 11, 2, 1970, 337-363. (1970) MR0267429

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