Practical Stability in the $p$th Mean of Stochastic Differential Equations with Discontinuous Coefficients

Practical Stability in the $p$th Mean of Stochastic Differential Equations with Discontinuous Coefficients

Year:    2010

Author:    Xumei Chen, Yongkui Zou

Communications in Mathematical Research , Vol. 26 (2010), Iss. 4 : pp. 337–352

Abstract

In this paper, we give sufficient conditions to analyze the practical stability in the $p$th mean of stochastic differential equations with discontinuous coefficients. The Lyapunov-like function plays an important role in analysis. Some numerical computations are carried out to illustrate the theoretical results.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2010-CMR-19129

Communications in Mathematical Research , Vol. 26 (2010), Iss. 4 : pp. 337–352

Published online:    2010-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    stochastic differential equation practical stability in the $p$th mean Lyapunov-like function.

Author Details

Xumei Chen

Yongkui Zou