Advertisement

Ukrainian Mathematical Journal

, Volume 63, Issue 5, pp 673–689 | Cite as

Fredholm quasilinear manifolds and degree of a Fredholm quasilinear mapping between them

  • A. Abbasov
Article

A new class of Banach manifolds and a new class of mappings between them are presented, and the theory of degree of such mappings is given.

Keywords

Vector Field Bounded Domain Base Space Tubular Neighborhood Banach Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. Abbasov, “A special quasi-linear mapping and its degree,” Turkish J. Math., 24, No. 1, 1–14 (2000).MathSciNetzbMATHGoogle Scholar
  2. 2.
    A. Abbasov, “Quasi-linear manifolds and quasi-linear mapping between them,” Turkish J. Math., 28, No. 1, 205–215 (2004).MathSciNetzbMATHGoogle Scholar
  3. 3.
    A. Abbasov, “L-homology theory of FSQL-manifolds and the degree of FSQL-mappings,” Ann. Pol. Math., 98, No. 2, 129–145 (2010).MathSciNetzbMATHCrossRefGoogle Scholar
  4. 4.
    Yu. G. Borisovich, V. G. Zvyagin, and Yu. I. Sapronov, “Nonlinear Fredholm mappings and Leray–Schauder theory,” Usp. Mat. Nauk, 32, No. 4, 3–54 (1977).zbMATHGoogle Scholar
  5. 5.
    J. Eells, “Fredholm structures,” Proc. Symp. Pure Math, Providence, RI: Amer. Math. Soc., Pr., 18, 62–85 (1970).MathSciNetGoogle Scholar
  6. 6.
    M. A. Efendiev, “Degree of an FQL-mapping in quasilinear domains and the nonlinear Hilbert problem in a ring,” Izv. Akad. Nauk Azerb. SSR, 5 (1979).Google Scholar
  7. 7.
    V. G. Zvyagin, “On the oriented degree of one class of perturbations of Fredholm mappings and bifurcations of solutions of a nonlinear boundary-value problem with noncompact perturbations,” Mat. Sb., 182, No. 12 (1991).Google Scholar
  8. 8.
    A. I. Shnirelman, “Degree of a quasilinear mapping and the nonlinear Hilbert problem,” Mat. Sb., 89(131), No. 3, 366–389 (1972).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  • A. Abbasov
    • 1
  1. 1.ÇanakkaleTurkey

Personalised recommendations