Stochastic differential equations driven by G-Brownian motion with reflecting boundary conditions
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🧮 math.PR
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stochasticboundarybrownianconditionsdifferentialdrivenequationsmotion
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In this paper, we introduce the idea of stochastic integrals with respect to an increasing process in the $G$-framework and extend $G$-It\^o's formula. Moreover, we study the solvability of the scalar valued stochastic differential equations driven by $G$-Brownian motion with reflecting boundary conditions (RGSDEs).
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