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On computational aspects of topological degree in ℝn

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Functional Differential Equations and Approximation of Fixed Points

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 730))

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References

  1. P. ALEXANDROFF and H. HOPF: Topologie I, Springer, Berlin (1974) Berichtigter Reprint

    Book  MATH  Google Scholar 

  2. D.I.A. COHEN: On the Sperner lemma, J. Comb. Theory 2 (1967), 585–587

    Article  MathSciNet  MATH  Google Scholar 

  3. J. CRONIN: Fixed points and topological degree in nonlinear analysis, AMS Math. Surveys No. 11, Providence Rhode Island (1964)

    Google Scholar 

  4. K. DEIMLING: Nichtlineare Gleichungen und Abbildungsgrade, Springer, Berlin (1974), Hochschultext

    Book  MATH  Google Scholar 

  5. A. DOLD: Lectures on algebraic topology, Springer, Berlin (1972)

    Book  MATH  Google Scholar 

  6. B.C. EAVES: A view of complementary pivot theory (or solving equations with homotopies), these proceedings

    Google Scholar 

  7. G. EISENACK and C. FENSKE: Fixpunkttheorie, Bibliographisches Institut Mannheim (1978)

    Google Scholar 

  8. B. KEARFOTT: An efficient degree-computation method for a generalized method of bisection, submitted to Numer. Math.

    Google Scholar 

  9. C. MAUNDER: Algebraic topology, van Nostrand Reinhold Comp. (1970)

    Google Scholar 

  10. H.O. PEITGEN and M. PRÜFER: The Leray-Schauder continuation method is a constructive element in the numerical study of nonlinear eigenvalue and bifurcation problems, these proceedings

    Google Scholar 

  11. M. PRÜFER: Sperner Simplices and the Topological Fixed Point Index, University of Bonn, SFB 72, Preprint No. 134 (1977)

    Google Scholar 

  12. J. SCHWARTZ: Nonlinear functional analysis, New York, Gordon and Breach (1969)

    MATH  Google Scholar 

  13. H.W. SIEGBERG: Abbildungsgrade in Analysis und Topologie, Diplomarbeit, University of Bonn (1977)

    Google Scholar 

  14. H.W. SIEGBERG: Brouwer degree: history and numerical computation, to appear

    Google Scholar 

  15. F. STENGER: Computing the topological degree of a mapping in ℝn, Numer. Math. 25 (1975), 23–38

    Article  MathSciNet  MATH  Google Scholar 

  16. M. STYNES: An algorithm for the numerical calculation of the degree of a mapping, Thesis, Oregon State University (1977)

    Google Scholar 

  17. H. WHITNEY: Geometric integration theory, Princeton University Press (1964)

    Google Scholar 

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Heinz-Otto Peitgen Hans-Otto Walther

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© 1979 Springer-Verlag

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Prüfer, M., Siegberg, H.W. (1979). On computational aspects of topological degree in ℝn . In: Peitgen, HO., Walther, HO. (eds) Functional Differential Equations and Approximation of Fixed Points. Lecture Notes in Mathematics, vol 730. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064327

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  • DOI: https://doi.org/10.1007/BFb0064327

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09518-7

  • Online ISBN: 978-3-540-35129-0

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