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Moment decay rates of solutions of stochastic differential equations

Authors
Publisher
Mathematical Institute of Tohoku University
Publication Date
Keywords
  • Ha Statistics
  • Qa Mathematics
Disciplines
  • Mathematics

Abstract

The objective of this paper is to investigate the p-ίh moment asymptotic stability decay rates for certain finite-dimensional Itό stochastic differential equations. Motivated by some practical examples, the point of our analysis is a special consideration of general decay speeds, which contain as a special case the usual exponential or polynomial type one, to meet various situations. Sufficient conditions for stochastic differential equations (with variable delays or not) are obtained to ensure their asymptotic properties. Several examples are studied to illustrate our theory.

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