We study the relation between the solutions set for perturbed semilinear differential inclusion with nonconvex and non-Lipschitz right-hand side in Banach space and the solutions set for the relaxed problem corresponding to the original one. We find the conditions under which the set of solutions for the relaxed problem coincides with the intersection of closures (in the space of continuous functions) of sets of approximating solutions for the original problem.
Representation of the set of mild solutions for the relaxed differential inclusion
BENEDETTI, Irene;
2006
Abstract
We study the relation between the solutions set for perturbed semilinear differential inclusion with nonconvex and non-Lipschitz right-hand side in Banach space and the solutions set for the relaxed problem corresponding to the original one. We find the conditions under which the set of solutions for the relaxed problem coincides with the intersection of closures (in the space of continuous functions) of sets of approximating solutions for the original problem.File in questo prodotto:
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