Keywords: فرمول این; Itô's formula; Stochastic Burgers equation; Nonlocal Burgers equation; Prokhorov's theorem; Skorokhod's embedding theorem;
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Keywords: فرمول این; Exponential stability; Mean-square exponential input-to-state stability; Stochastic delayed neural network; Itô's formula; Lyapunov-Krasovskii functional;
Keywords: فرمول این; Stochastic differential equations; Linear quadratic control; Generalized Riccati differential equations; Detectability; Ito's formula
Explosive solutions of stochastic reaction-diffusion equations in mean Lp-norm
Keywords: فرمول این; Stochastic reaction-diffusion equation; Itô's formula; Positive solutions; Blow-up of solutions; Explosions;
Passive fuzzy controller design for nonlinear systems with multiplicative noises
Keywords: فرمول این; Passivity property; Takagi-Sugeno fuzzy model; Multiplicative noise; Schur complement; Linear Matrix Inequality; Itô's Formula;
Global dissipativity of stochastic neural networks with time delay
Keywords: فرمول این; Stochastic neural networks; Global dissipativity in mean; Attractive set in mean; Lyapunov functional; Itô's formula; Jensen's inequality; Linear matrix inequality (LMI);
A note on nonautonomous logistic equation with random perturbation
Keywords: فرمول این; Randomized logistic equation; Periodic solution; Itô's formula;
Iterated integrals with respect to Bessel processes
Keywords: فرمول این; 60H05; 60J25; secondary 60G44; Bessel processes; Iterated stochastic integrals; Brownian motion; Martingales; Itô's formula;
Stochastic stabilisation of functional differential equations
Keywords: فرمول این; Brownian motion; Exponential stability; Itô's formula; Stabilisation;
Stochastic differential delay equations of population dynamics
Keywords: فرمول این; Brownian motion; Stochastic differential delay equation; Itô's formula; Persistence; Stability; Boundedness;
m-order integrals and generalized Itô's formula; the case of a fractional Brownian motion with any Hurst index
Keywords: فرمول این; 60H05; 60G15; 60G18; m-order integral; Itô's formula; Fractional Brownian motion;
Ito's- and Tanaka's-type formulae for the stochastic heat equation: The linear case
Keywords: فرمول این; 60H15; 60H05; 60H07; 60G15; Stochastic heat equation; Malliavin calculus; Itô's formula; Tanaka's formula; Chaos decomposition;