## S p stability of solutions of symmetric stochastic differential equations with discontinuous driving semimartingales.(English)Zbl 0636.60057

The paper studies the stability of a solution of a multidimensional symmetric (Stratonovich) stochastic integral equation of the type $X_ t=x+\int^{t}_{0}f(X_{s-})dZ_ s,$ when the driving cadlag semi- martingale Z is perturbed in S p (S p, $$1\leq p\leq \infty$$, is the Banach space of all cadlag processes $$X=(X_ t)$$, $$t\leq T$$, such that $$\| X\|_{S\quad p}=\| \sup_{t\leq T}| X_ t| \|_{L\quad p}<\infty)$$.
Reviewer: L.Gal’čuk

### MSC:

 60H10 Stochastic ordinary differential equations (aspects of stochastic analysis) 93E15 Stochastic stability in control theory
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