Global Analysis. Studies and Applications II

Herausgegeben:Borisovich, Yurii G.; Gliklikh, Yuri E.

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Lecture Notes in Mathematics 1214
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-16821-8
• 1986
• Seitenzahl: 284
• Erscheinungstermin: 1. November 1986
• Englisch
• Abmessung: 235mm x 155mm x 16mm
• Gewicht: 460g
• ISBN-13: 9783540168218
• ISBN-10: 3540168214
• Artikelnr.: 23852751

Inhaltsangabe

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.