Maximal Solution Non Classical Differential Equation Association with Kurzweil Equations

摘要

We prove some new results on existence of solutions to first-order non classical ordinary differential equationsudassociated with Kurzweil equations. Our existence results lean on new definitions of lower and upper solutions introducedudin this article. The existence of a maximal solution is guaranteed when the local uniqueness property in the future isudestablished. These results could be of great value in applications to the theory of non classical differential equations inudlocally convex spaces.