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Global Analysis. Studies and Applications Ii.

Author: Y Borisovich
Publisher: New York : Springer June 2008.
Series: Lecture Notes in Mathematics Ser.
Edition/Format:   eBook : Document : English
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Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Y Borisovich
ISBN: 9783540168218 3540168214
OCLC Number: 466136210
Description: 1 online resource.
Contents: Cauchy indices and the index of a singular point of a vector field.- Complete integrability with noncommuting integrals of certain euler equations.- Multidimensional parametrized variational problems on riemannian manifolds.- On certain classes of selections of many-valued mappings.- On the spectral synthesis in the spaces of solutions of invariant differential equations.- Topological aspects of geometrical theory of differential equations.- On the principle of the shortest way in the dynamics of systems with constraints.- Stochastic equations and differential geometry.- Fundamental physical equations uniquely determined by their symmetry groups.- Riemannian parallel translation, the ito integral, and stochastic equations on manifolds.- An equivariant analogue of the index of a gradient vector field.- On the topology of invertible linear singular integral operators.- Model equation for dynamics of phase translation.- The destruction of spherical symmetry in non-linear variational problems.
Series Title: Lecture Notes in Mathematics Ser.

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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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