Fundamental Theory of Contingent Differential Equations in Banach Space
نویسنده
چکیده
For a contingent differential equation that takes values in the closed, convex, nonempty subsets of a Banach space E, we prove an existence theorem and we investigate the extendability of solutions and the closedness and continuity properties of solution funnels. We consider first a space E that is separable and reflexive and then a space E with a separable second dual space. We also consider the special case of a pointvalued or ordinary differential equation. 0. Introduction. Consider the contingent differential equation
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