Second–order multivalued stochastic differential equations on Riemannian manifolds

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences Pub Date : 2004-11-08 DOI:10.1098/rspa.2004.1312

F. Bernardin, M. Schatzman, C. Lamarque

引用次数: 7

Abstract

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.

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黎曼流形上的二阶多值随机微分方程

证明了黎曼流形上二阶多值随机微分方程解的存在唯一性。这类问题是由刚体和多体摩擦动力学驱动的，并给出了一个在有摩擦的球摆上的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences

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