Global Analysis — Studies and Applications III

A.Yu. Borisovich (auth.), Yurii G. Borisovich, Yurii E. Gliklikh, A.M. Vershik (eds.)3540500197, 9783540500193

Contents: A.Yu. Borisovich: Plateau Operator and Bifurcations of Two-Dimensional Minimal Surfaces.- Yu.G. Borisovich, T.N. Fomenko: Homological Methods in the Theory of Periodic and Equivariant Maps.- B.A. Dubrovin: Theory of Operators and Real Algebraic Geometry.- B.D. Gel’man: On the Structure of the Set of Solutions for Inclusions with Multivalued Operators.- I.S. Krasil’shchik: Schouten Bracket and Canonical Algebras.- Yu.I. Sapronov: Multidimensional Sleeping Tops.- B.Yu. Sternin, V.E. Shatalov: Laplace-Radon Integral Operators and Singularities of Solutions of Differential Equations on Complex Manifolds.- V.G. Zvyagin: On the Number of Solutions for Certain Boundary-Value Problems.- V.I. Arnol’d: Contact Structure, Relaxation Oscillations and Singular Points of Implicit Differential Equations.- N.M. Bliznyakov: Topological Index Estimates.- Yu.G. Borisovich: Modern Approach to the Theory of Topological Characteristics of Nonlinear Operators. I.- A.T. Fomenko: Qualitative Geometrical Theory of Integrable Systems. Classification of Isoenergetic Surfaces and Bifurcation of Liouville Tori at the Critical Energy Values.- Yu.E. Gliklikh: Geometrical Aspects of Nelson’s Stochastic Quantization.- B.Y. Sternin, V.E. Shatalov: Singularities of Solutions of Differential Equations on Complex Manifolds (Characteristic Case).- A.N. Varchenko: Image of Period Mapping for Simple Singularities.- A.M. Vershik, C.Ya. Gershkovich: The Geometry of the Nonholonomic Sphere for Three-Dimensional Lie Group.

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Table of contents :
Plateau operator and bifurcations of two-dimensional minimal surfaces….Pages 1-20
Homological methods in the theory of periodic and equivariant maps….Pages 21-41
Theory of operators and real algebraic geometry….Pages 42-59
On the structure of the set of solutions for inclusions with multivalued operators….Pages 60-78
Schouten bracket and canonical algebras….Pages 79-110
Multidimensional sleeping tops….Pages 111-128
Laplace-radon integral operators and singularities of solutions of differential equations on complex manifolds….Pages 129-156
On the number of solutions for certain boundary-value problems….Pages 157-172
Contact structure, relaxation oscillations and singular points of implicit differential equations….Pages 173-179
Topological index estimates….Pages 180-198
Modern approach to the theory of topological characteristics of nonlinear operators I….Pages 199-220
Qualitative geometrical theory of integrable systems. classification of isoenergetic surfaces and bifurcation of liouville tori at the critical energy values….Pages 221-245
Geometrical aspects of nelson’s stochastic quantization….Pages 246-268
Singularities of solutions of differential equations on complex manifolds (characteristical case)….Pages 269-293
Image of period mapping for simple singularities….Pages 294-308
The geometry of the nonholonomic sphere for three-dimensional lie group….Pages 309-331