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Fixed point theory and nonlinear problems
Author(s):
Felix E.
Browder
Journal:
Bull. Amer. Math. Soc.
9
(1983),
1-39.
MSC (1980):
Primary 47H
MathSciNet review:
699315
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Additional information
References:
- 1.
- P. Alexandroff and H. Hopf, Topologie, Springer-Verlag, Berlin, 1935.
- 2.
- H. Amann and S. Weiss, On the uniqueness of the topological degree, Math. Z. 130 (1973), 39-54. MR 346601
- 3.
- H. Brezis, M. G. Crandall, and A. Pazy, Perturbations of nonlinear maximal monotone sets in Banach spaces, Comm. Pure Appl. Math. 23 (1970), 123-144. MR 257805
- 4.
- P. Bohl, Uber die Bewegung eines mechanischen Systems in der Nähe einer Gleichgewichtslage, J. Reine Angew. Math. 127 (1904), 179-276.
- 5.
- Ju. G. Borisovich and Yu. I. Sapronov, A contribution to the topological theory of condensing operators, Soviet Math. Dokl. 9 (1968), 1304-1307.
- 6.
- L. E. J. Brouwer, Beweis der Invarianz der Dimensionzahl, Math. Ann. 70 (1911).
- 7.
- L. E. J. Brouwer, Uber Abbildung der Mannigfaltigkeiten, Math. Ann. 71 ( 1912), 97-115.
- 8.
- F. E. Browder, Topological methods for nonlinear elliptic equations of arbitrary order, Pacific J. Math. 17 (1966), 17-31. MR 203245
- 9.
- F. E. Browder, Topology and nonlinear functional equations, Studia Math. 31 (1968), 189-204. MR 238134
- 10.
- F. E. Browder, Nonlinear equations of evolution and nonlinear operators in Banach spaces, Nonlinear Functional Analysis, Proc. Sympos. Pure Math., vol. 18, Part II, Amer. Math. Soc. Providence, R. I., 1975.
- 11.
- F. E. Browder, Degree of mapping for nonlinear mappings of monotone type. I, II, III, Proc. Nat. Acad. Sci. USA, March, April 1983 (to appear). MR 699437
- 12.
- F. E. Browder, The degree of mapping and its generalizations, Proc. Special Session on Fixed Point Theory (Summer Meeting, 1982), Amer. Math. Soc., Providence, R. I., (to appear). MR 729503
- 13.
- F. E. Browder, The theory of degree of mapping for nonlinear mappings of monotone type, Nonlinear Partial Differential Equations and Applications, IV, Pitman (to appear). MR 772240
- 14.
- F. E. Browder, L'unicité du degré topologique pour des applications de type monotone, C. R. Acad. Sci. Paris, January 10, 1983 (to appear). MR 693187
- 15.
- F. E. Browder and R. D. Nussbaum, The topological degree for non-compact nonlinear mappings in Banach spaces, Bull. Amer. Math. Soc. 74 (1968), 671-676. MR 232257
- 16.
- F. E. Browder and W. V. Petryshyn, Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces, J. Funct. Anal. 3 (1969), 217-245. MR 244812
- 17.
- J. Cronin, Fixed points and topological degree in nonlinear analysis, Math. Surveys, No. 11, Amer. Math. Soc. Providence, R. I., 1964. MR 164101
- 18.
- K. D. Elworthy and A. J. Tromba, Differential structures and Fredholm maps on Banach manifolds, Global Analysis, Proc Sympos. Pure Math., vol. 15, Amer. Math. Soc., Providence, R. I., 1969. MR 264708
- 19.
- C. Fenske, Analytische Theorie des Abbildungsgrades für Abbildungen in Banachräumen, Math. Nachr. 48 (1971), 279-290. MR 343113
- 20.
- L. Fuhrer, Ein elementarer analytischer Beweis zur Eindeutigkeit des Abbildungsgrades im R, Math. Nachr. 54 (1972), 259-267. MR 317317
- 21.
- M. Golomb, Zur Theorie der Nichtlinearen Integralgleichungen, Integralgleichungsysteme und allgemeine Funktionalgleichungen, Math. Z. 39 (1934-35), 45-75. MR 1545488
- 22.
- A. Granas, The Leray-Schauder index and the fixed point theory for arbitrary ANR's, Bull. Soc. Mat. France 100 (1972), 209-228. MR 309102
- 23.
- J. Hadamard, Sur quelques applications de l'indice de Kronecker, Introduction to: J. Tannery, La Théorie des Fonctions d'une Variable, Paris, 1910.
- 24.
- M. A. Krasnoselski, Topological methods in the theory of nonlinear integral equations, Pergamon, Oxford, 1963.
- 25.
- L. Kronecker, Uber Systeme von Funktionen mehrer Variablen, Monatsb. Berlin Akad. (1869), 159-193, 688-698.
- 26.
- J. Leray and J. Schauder, Topologie et equations fonctionnelles, Ann. Sci. École. Norm. Sup. 51 (1934), 45-78. MR 1509338
- 27.
- J. Mahwin, Topology and nonlinear boundary value problems, Dynamical Systems, Vol. 1, Academic Press, 1976, pp. 51-82. MR 637078
- 28.
- C. Miranda, Un'osservazione su una teorema di Brouwer, Boll. Unione Mat. Ital. (1940), 527.
- 29.
- R. D. Nussbaum, Degree theory for local condensing maps, J. Math. Anal. Appl. 37 (1972), 741-766. MR 306986
- 30.
- R. D. Nussbaum, On the uniqueness of the topological degree for k-set contractions, Math. Z. 137 (1974), 1-6. MR 361951
- 31.
- E. Picard, Sur les nombres des racines communes q plusieurs équations simultanes, J. Math. Pures Appl. 8 (1892), 5-24.
- 32.
- H. Poincaré, Sur certaines solutions particulieres du problème des trois corps, C. R. Acad. Sci. Paris 97 (1883), 251-252.
- 33.
- H. Poincaré, Sur certaines solutions particulieres du problème des trois corps, Bull. Astronomique 1 (1884), 63-74.
- 34.
- H. Poincaré, Sur les courbes définies par une équation différentielle. IV, J. Math. Pures Appl. 85 (1886), 151-217.
- 35.
- H. W. Siegberg, Some historical remarks concerning degree theory, Amer. Math. Monthly (1981), 125-139. MR 606251
- 36.
- J. T. Schwartz, Nonlinear functional analysis, Gordon and Breach, New York, 1969. MR 433481
- 37.
- I. V. Skrypnik, Nonlinear elliptic equations of higher order, Kiev, 1973. MR 355330
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Additional Information:
DOI:
10.1090/S0273-0979-1983-15153-4
PII:
S 0273-0979(1983)15153-4
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