# Stochastic differential inclusions of Langevin type on Riemannian manifolds

Yuri E. Gliklikh; Andrei V. Obukhovskiĭ

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2001)

- Volume: 21, Issue: 2, page 173-190
- ISSN: 1509-9407

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topYuri E. Gliklikh, and Andrei V. Obukhovskiĭ. "Stochastic differential inclusions of Langevin type on Riemannian manifolds." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 21.2 (2001): 173-190. <http://eudml.org/doc/271454>.

@article{YuriE2001,

abstract = {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.},

author = {Yuri E. Gliklikh, Andrei V. Obukhovskiĭ},

journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},

keywords = {stochastic differential inclusions; Langevin equation; Riemannian manifolds; stochastic differential equation; Riemannian manifold},

language = {eng},

number = {2},

pages = {173-190},

title = {Stochastic differential inclusions of Langevin type on Riemannian manifolds},

url = {http://eudml.org/doc/271454},

volume = {21},

year = {2001},

}

TY - JOUR

AU - Yuri E. Gliklikh

AU - Andrei V. Obukhovskiĭ

TI - Stochastic differential inclusions of Langevin type on Riemannian manifolds

JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization

PY - 2001

VL - 21

IS - 2

SP - 173

EP - 190

AB - 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.

LA - eng

KW - stochastic differential inclusions; Langevin equation; Riemannian manifolds; stochastic differential equation; Riemannian manifold

UR - http://eudml.org/doc/271454

ER -

## References

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