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We prove the existence of a continuous selection of the multivalued map φ → Φ(φ) which is the set of all mild solutions of the evolution inclusion urn:x-wiley:20903332:media:ista615767:ista615767-math-0001 Here F is a multivalued map, Lipschitzian with respect to x, and A is the infinitesimal generator of a C0‐semigroup.
Integro-ordinary differential equations, continuous selection, multifunction, nonlinear nonautonomous evolution inclusion, mild solutions, Selections in general topology, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Ordinary differential inclusions
Integro-ordinary differential equations, continuous selection, multifunction, nonlinear nonautonomous evolution inclusion, mild solutions, Selections in general topology, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Ordinary differential inclusions
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