Maximal Solution Non Classical Differential Equation Association with Kurzweil Equations
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International Academy of Science,Engineering and Technology
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We prove some new results on existence of solutions to first-order non classical ordinary differential equations
associated with Kurzweil equations. Our existence results lean on new definitions of lower and upper solutions introduced
in this article. The existence of a maximal solution is guaranteed when the local uniqueness property in the future is
established. These results could be of great value in applications to the theory of non classical differential equations in
locally convex spaces.
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QA Mathematics