Second-order multivalued stochastic differential equations on Riemannian manifolds

被引：1

作者：

Bernardin, F

Schatzman, M

Lamarque, CH

机构：

[1] CNRS, URA 1652, DGCB, Lab GeoMat,Ecole Natl Travaux Publ Etat, F-69518 Vaulx En Velin, France

[2] Univ Lyon 1, CNRS, UMR 5585, Anal Numer Lab, F-69622 Villeurbanne, France

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2004年 / 460卷 / 2051期

关键词：

stochastic differential equations; manifolds; friction; differential inclusions; maximal monotone operators; rigid body dynamics;

D O I：

10.1098/rspa.2004.1312

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The existence and uniqueness of solutions to multivalued stochastic differential equations of the second order on Riemannian manifolds are proved. The class of problem is motivated by rigid body and multibody dynamics with friction and an application to the spherical pendulum with friction is presented.

引用

页码：3095 / 3121

页数：27

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