Exponential stability for a class of singularly perturbed It\^{o} differential equations

V. Dragan, Institute of Mathematics of the Romanian Academy, Bucharest, Romania
T. Morozan, Institute of Mathematics of the Romanian Academy, Bucharest, Romania

E. J. Qualitative Theory of Diff. Equ., Proc. 6'th Coll. Qualitative Theory of Diff. Equ., No. 7. (2000), pp. 1-13.

Communicated by L. Hatvani. Appeared on 2000-01-01

Abstract: The problem of exponential stability in mean square of the zero solution for a class of singularly perturbed system of It\^{o} differential equations is investigated. Estimates of the block components of the fundamental random matrix are provided.


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