Journal
TOHOKU MATHEMATICAL JOURNAL
Volume 53, Issue 1, Pages 81-93Publisher
TOHOKU UNIVERSITY
DOI: 10.2748/tmj/1178207532
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The objective of this paper is to investigate the p-th moment asymptotic stability decay rates for certain finite-dimensional Ito 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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