Ebook: Global Analysis — Studies and Applications II

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Content:
Front Matter....Pages -
Cauchy indices and the index of a singular point of a vector field....Pages 1-20
Complete integrability with noncommuting integrals of certain euler equations....Pages 21-39
Multidimensional parametrized variational problems on riemannian manifolds....Pages 40-62
On certain classes of selections of many-valued mappings....Pages 63-84
On the spectral synthesis in the spaces of solutions of invariant differential equations....Pages 85-100
Topological aspects of geometrical theory of differential equations....Pages 101-116
On the principle of the shortest way in the dynamics of systems with constraints....Pages 117-130
Stochastic equations and differential geometry....Pages 131-158
Fundamental physical equations uniquely determined by their symmetry groups....Pages 159-170
Riemannian parallel translation, the ito integral, and stochastic equations on manifolds....Pages 171-195
An equivariant analogue of the index of a gradient vector field....Pages 196-210
On the topology of invertible linear singular integral operators....Pages 211-230
Model equation for dynamics of phase translation....Pages 231-248
The destruction of spherical symmetry in non-linear variational problems....Pages 249-275

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Content:
Front Matter....Pages -
Cauchy indices and the index of a singular point of a vector field....Pages 1-20
Complete integrability with noncommuting integrals of certain euler equations....Pages 21-39
Multidimensional parametrized variational problems on riemannian manifolds....Pages 40-62
On certain classes of selections of many-valued mappings....Pages 63-84
On the spectral synthesis in the spaces of solutions of invariant differential equations....Pages 85-100
Topological aspects of geometrical theory of differential equations....Pages 101-116
On the principle of the shortest way in the dynamics of systems with constraints....Pages 117-130
Stochastic equations and differential geometry....Pages 131-158
Fundamental physical equations uniquely determined by their symmetry groups....Pages 159-170
Riemannian parallel translation, the ito integral, and stochastic equations on manifolds....Pages 171-195
An equivariant analogue of the index of a gradient vector field....Pages 196-210
On the topology of invertible linear singular integral operators....Pages 211-230
Model equation for dynamics of phase translation....Pages 231-248
The destruction of spherical symmetry in non-linear variational problems....Pages 249-275
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