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The Lyapunov direct method, as the most effective measure of studying stability theory for ordinary differential systems and stochastic ordinary differential systems, has not been generalized to research concerning stochastic partial differential systems owing to the emptiness of the corresponding Ito differential formula. The goal of this paper is just employing the Lyapunov direct method to investigate...
It is with the aid of the Lyapunov method that stochastic ordinary differential equations and stochastic functional differential equations have been investigated intensively in the past decades. However, for stochastic reaction diffusion equations, this useful technique seems to feel helpless on account of the emptiness of its own Ito’s formula. To get over this difficulty, we will manage to regard...
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