In this paper the existence as well as the existence of the extremal solutions for first order nonlinear perturbed functional random differential equations is proved under mixed Lipschitz, compactness and monotonic conditions.
García, M. A. A., Armenta, M. E. F., Reyna, M. E. G., & González, E. L. (2015). Algebrization of Nonautonomous Differential Equations. Journal of Applied Mathematics, 2015(), 770-779-075. https://doi.org/10.1155/2015/632150