Global Analysis - Studies and Applications V

1. Front Matter

   Pages I-V

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2. Stochastic analysis, groups of diffemorphisms and lagrangian description of viscous incompressible fluid

   • Yu. E. Gliklikh

   Pages 1-18

3. From topological homology: algebras with different properties of homological triviality

   • A. Ya. Helemskii

   Pages 19-40

4. Duality in stable spencer cohomologies

   • V. V. Lychagin, L. V. Zil'bergleit

   Pages 41-55

5. On some problems of computational geometry and topology

   • O. R. Musin

   Pages 57-80

6. Introduction to Maslov's operational method (non-commutative analysis and differential equations)

   • V. E. Nazaikinskii, B. Yu. Sternin, V. E. Shatalov

   Pages 81-91

7. The problem of realization of homology classes from Poincare up to the present

   • Yu. B. Rudyak

   Pages 93-110

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

   • V. G. Zvyagin, N. M. Ratiner

   Pages 111-137

9. Fuchsian systems with reducible monodromy and the Riemann-Hilbert problem

   • A. A. Bolibruch

   Pages 139-155

10. Finitely smooth normal forms of vector fields in the vicinity of a rest point

    • I. U. Bronstein, A. Ya. Kopanskii

    Pages 157-172

11. Generalized degree of multi-valued mappings

    • B. D. Gel'man

    Pages 173-192

12. On fredholmian aspects of linear transmission problems

    • G. N. Khimshiashvili

    Pages 193-216

13. Stationary solutions of nonlinear stochastic equations

    • A. S. Mishchenko

    Pages 217-236

14. Continuation of solutions to elliptic equations and localization of singularities

    • B. Yu. Sternin, V. E. Shatalov

    Pages 237-259

15. Properness of nonlinear elliptic differential operators in Hölder spaces

    • V. G. Zvyagin, V. T. Dmitrienko

    Pages 261-284

16. Back Matter

    Pages 285-288

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This volume (a sequel to LNM 1108, 1214, 1334 and 1453) continues the presentation to English speaking readers of the Voronezh University press series on Global Analysis and Its Applications. The papers are selected fromtwo Russian issues entitled "Algebraic questions of Analysis and Topology" and "Nonlinear Operators in Global Analysis". CONTENTS: YuE. Gliklikh: Stochastic analysis, groups of diffeomorphisms and Lagrangian description of viscous incompressible fluid.- A.Ya. Helemskii: From topological homology: algebras with different properties of homological triviality.- V.V. Lychagin, L.V. Zil'bergleit: Duality in stable Spencer cohomologies.- O.R. Musin: On some problems of computational geometry and topology.- V.E. Nazaikinskii, B.Yu. Sternin, V.E.Shatalov: Introduction to Maslov's operational method (non-commutative analysis and differential equations).- Yu.B. Rudyak: The problem of realization of homology classes from Poincare up to the present.- V.G. Zvyagin, N.M. Ratiner: Oriented degree of Fredholm maps of non-negativeindex and its applications to global bifurcation of solutions.- A.A. Bolibruch: Fuchsian systems with reducible monodromy and the Riemann-Hilbert problem.- I.V. Bronstein, A.Ya. Kopanskii: Finitely smooth normal forms of vector fields in the vicinity of a rest point.- B.D. Gel'man: Generalized degree of multi-valued mappings.- G.N. Khimshiashvili: On Fredholmian aspects of linear transmission problems.- A.S. Mishchenko: Stationary solutions of nonlinear stochastic equations.- B.Yu. Sternin, V.E. Shatalov: Continuation of solutions to elliptic equations and localisation of singularities.- V.G. Zvyagin, V.T. Dmitrienko: Properness of nonlinear elliptic differential operators in H|lder spaces.

• Algebra
• Applications
• Global Analysis
• Nonlinear Operators
• Topology
• calculus
• diffeomorphism
• differential equation
• homology

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