Electronic Journal of Qualitative Theory of Differential Equations (Oct 2006)
Monotone increasing multi-valued condensing random operators and random differential inclusions
Abstract
In this paper, some random fixed point theorems for monotone increasing, condensing and closed multi-valued random operators are proved. They are then applied to first order ordinary nonconvex random differential inclusions for proving the existence of solutions as well as the existence of extremal solutions under certain monotonicity conditions.