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On differential inclusions of velocity hodograph type with Carathéodory conditions on Riemannian manifolds

100%

Gliklikh Y., Obukhovski A.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2004

tom 24

nr 1

41-48

We investigate velocity hodograph inclusions for the case of right-hand sides satisfying upper Carathéodory conditions. As an application we obtain an existence theorem for a boundary value problem for second-order differential inclusions on complete Riemannian manifolds with Carathéodory right-hand sides.

Stochastic differential inclusions of Langevin type on Riemannian manifolds

100%

Gliklikh Y., Obukhovskiĭ A.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2001

tom 21

nr 2

173-190

We introduce and investigate a set-valued analogue of classical Langevin equation on a Riemannian manifold that may arise as a description of some physical processes (e.g., the motion of the physical Brownian particle) on non-linear configuration space under discontinuous forces or forces with control. Several existence theorems are proved.

Ograniczanie wyników

2 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2 Gliklikh Y.

1 Obukhovski A.

1 Obukhovskiĭ A.

1 2004

1 2001

Wyniki wyszukiwania

On differential inclusions of velocity hodograph type with Carathéodory conditions on Riemannian manifolds

Stochastic differential inclusions of Langevin type on Riemannian manifolds