Existence and uniqueness theorems are given for RODEs under classical and Carathéodory assumptions. In the latter case the measurability of solutions is also established. Conditions ensuring the positivity of solutions are stated and RODEs with canonical noise are formulated.
CITATION STYLE
Han, X., & Kloeden, P. E. (2017). Random Ordinary Differential Equations. In Probability Theory and Stochastic Modelling (Vol. 85, pp. 15–27). Springer Nature. https://doi.org/10.1007/978-981-10-6265-0_2
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