Yazid Aya2026-02-032025MTM/411MTMhttps://dspace.univ-bba.dz/handle/123456789/1187In thiswork,we study the invariance property of the solution of the Kubo oscillator equation under a stochastic model, following a review of stochastic calculus and the concepts of invariance and viability in both deterministic and stochastic settings.enKey words : Brownian motionWiener processWhite noisestochastic IntegralsItô stochastic differential equationStratonovich stochastic differential equationstochastic viabilitystochastic invariancekubo oscillator.Mots-clés :Mouvement brownienprocessus deWienerBruit blancintégrales stochastiqueséquation différentielle stochastique d’Itôéquation différentielle stochastique de Stratonovichviabilité stochastiqueinvariance stochastiqueOscillateur de Kubo.Stochastic viability under the flow of a stochastic equation (Itô - Stratonovich) and application "the kubo oscillator equation"Thesis