This paper is concerned with the long-time behavior of solutions for a class of stochastic semilinear degenerate equations with memory driven by nonlinear noise on ℝ n ...

Abstract: A classical result in linear system theory is that a causal linear time-varying (LTV) system has a smooth finite dimensional realization if and only if its impulse response exhibits a ...

Abstract: In this article, we consider a linear-quadratic optimal control problem of mean-field stochastic differential equation with jump diffusion, which is also called as an mean-field ...

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