| Abstract: |
| Within the framework of random generalized ordinary differential equations, which combine stochastic processes with generalized integration in the sense of Kurzweil, we establish new conditions ensuring the existence of solutions and, under suitable assumptions, their uniqueness, covering local, maximal, and global regimes. This setting connects deterministic generalized differential equations with random dynamical systems, providing a unified framework and new analytical tools for the study of dynamics under randomness. |
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