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Global Analysis - Studies and Applications V pp 111–137Cite as

Oriented degree of Fredholm maps of non-negative index and its application to global bifurcation of solutions

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References

  1. Elworthy K.D., Tromba A.J. Differential structures and Fredholm maps on Banach manifolds // Proc. Sympos. Pure Math. (Global Analysis).-1970. v.15-p.45–74.

    Article  MathSciNet  MATH  Google Scholar 

  2. Sapronov Yu.I. On the dergree theory for nonlinear Fredholm maps // Trudy NII matematiki VGU.-Voronezh, 1973, No II, p.93–101 (in Russian).

    Google Scholar 

  3. Zvyagin V. G. Investigation of topological characteristics of nonlinear operators. PhD. Thesis, Voronezh, 1974 (in Russian).

    Google Scholar 

  4. Zvyagin V.G. On the existence of a continuous branch of eigen-values for nonlinear elliptic boundary value problem // Diff. equations, 1977, vol.13, No 8, p.1524–1527 (in Russian).

    Google Scholar 

  5. Ratiner N.M. On the degree theory for Fredholm mappings of manifolds // Equations on Manifolds. Voronezh, 1982, p.126–129 (in Russian).

    MATH  Google Scholar 

  6. Borisovich Yu.G., Zvyagin V.G., Sapronov Yu.I. Nonlinear Fredholm maps and Leray-Schauder theory // Uspekhi Mat. Nauk (Russian Math. Surveys), 1977, vol.32, No 4, p, 3–54.

    MATH  Google Scholar 

  7. Zvyagin V. G., Ratiner N.M. The degree of completely continuous perturbations of Fredholm maps and its application to bifurcation of solutions // Dokl. AN Ukr. SSR, 1989, No 6, p.8–11 (in Russian).

    Google Scholar 

  8. Rabinowitz P.H. A global theorem for non-linear eigenvalue problems and applications // Contrib. Nonlinear Fcl Anal. Academic Press.-1971, p. 11–36.

    Google Scholar 

  9. Zvyagin V.G. On the structure of the set of solutions of a nonlinear eiliptic problem with fixed boundary conditions // Global Analysis Studies and Applications, IV. Springer-Veriag, 1990 (Lect. Notes in Mathematics, vol. 1400).

    Google Scholar 

  10. Nirenberg L. Topics in non-linear functional analysis. New York, 1974.

    Google Scholar 

  11. Pontryagin L.S. Smooth manifolds and their applications in homotopy theory. Moscow, 1976 (in Russin).

    Google Scholar 

  12. Husemoller D. Fibre bundies. McGraw Hill, 1966.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Voronezh State University, 394693, Voronezh, USSR

    V. G. Zvyagin & N. M. Ratiner

Authors
  1. V. G. Zvyagin
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  2. N. M. Ratiner
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Yuri G. Borisovich Yuri E. Gliklikh A. M. Vershik

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© 1992 Springer-Verlag

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Zvyagin, V.G., Ratiner, N.M. (1992). Oriented degree of Fredholm maps of non-negative index and its application to global bifurcation of solutions. In: Borisovich, Y.G., Gliklikh, Y.E., Vershik, A.M. (eds) Global Analysis - Studies and Applications V. Lecture Notes in Mathematics, vol 1520. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084718

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  • DOI: https://doi.org/10.1007/BFb0084718

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55583-4

  • Online ISBN: 978-3-540-47223-0

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