Browsing by Author "AOUFI , Amani"

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    Mathematical Analysis and Modeling for a Class of Stochastic Differential and Difference Equations
    (Faculty of Sciences, 2024) AOUFI , Amani; LALLOUCHE , Abdellah
    This dissertation has embarked on a comprehensive exploration of various equations, delving deeply into the analysis and application of stochastic differential and difference equations. Our investigation covered a spectrum of equations, focusing particularly on how noise can act as a stabilizing factor. The study of stochastic equations in general needs a full knowledge of probability theory and stochastic calculus including stochastic processes, stochastic integration and stochastic differentiation. After studying stochastic calculus, we briefly discuss an unsolved problem of stabilization by noise for difference equations.