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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Book Review

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Book Information

Author(s): W. V. Petryshyn
Title: Generalized topological degree and semilinear equations
Additional book information: Cambridge Tracts in Mathematics, vol. 117, Cambridge University Press, Cambridge, 1995, x+240 pp., $59.95, ISBN 0-521-44474-8


References:

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L.E.J. Brouwer, Ueber Abbildungen von Mannigfaltigkeiten, Math. Ann. 71 (1912), 97-115.
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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 39:6126
4.
R. Caccioppoli, Sulle corrispondenze funzionali inverse diramate: teoria generale a applicazioni ad alcune equizioni non lineari e al problema di Plateau. Rend. Accad. Lincei (6) 24 (1936) 258-263; 416-421.
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D. Gilbarg and N.S. Trudinger, Elliptic Partial Differential Equations of the Second Order, Springer, Berlin, 1983. MR 86c:35035
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J. Hadamard, Sur quelques applications de l'indice de Kronecker, in J. Tannery, Introduction à la théorie des fonctions d'une variable, vol. 2, Hermann, Paris, 1910, 875-915.
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M.A. Krasnosel'skii, Topological Methods in the Theory of Nonlinear Integral Equations, Gostakhteoretizdat, Moscow, 1956. English transl. Pergamon, Oxford, 1964. MR 20:3464; MR 28:2414
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L. Kronecker, Ueber Systeme von Funktionen mehrerer Variabeln, Monatsber. Berlin Akad., 1869, 159-193; 688-698.
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C. Miranda, Problemi di esistenza in analisi funzionale, Tacchi, Pisa, 1950. MR 12:265c
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M. Nagumo, Degree of Mapping and Existence Theorems, Kawade, Tokyo, 1948 (in Japanese).
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H. Poincaré, Sur certaines solutions particulières du problème des trois corps, Bull. Astron. 1 (1884), 65-74.
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N. Rouche and J. Mawhin, Ordinary Differential Equations, Pitman, Boston, 1980. MR 82i:34001
17.
J. Schauder, Der Fixpuntsatz in Funktionalraumen, Studia Math. 2 (1930), 171-180.


Additional Information:

Reviewer(s):
Jean Mawhin
Affiliation: Université Catholique de Louvain
Email: mawhin@amm.ucl.ac.be

Review Information:
Journal: Bull. Amer. Math. Soc. 34 (1997), 197-201.

MSC (1991): Primary 47H11, 34B15, 35J65
DOI: 10.1090/S0273-0979-97-00716-7
PII: S 0273-0979(97)00716-7
Copyright of article: Copyright 1997, American Mathematical Society


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