Baire category and boundary value problems for ordinary and partial differential inclusions under Carathéodory assumptions |
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| Authors: | FS De Blasi G Pianigiani |
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| Institution: | aDipartimento di Matematica, Università di Roma II “Tor Vergata”, Via della Ricerca Scientifica 1, 00133 Roma, Italy;bDipartimento di Matematica per le Decisioni, Università di Firenze, Via Lombroso 6/17, 50134 Firenze, Italy |
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| Abstract: | By using the Baire category method we prove an existence result for boundary value problem of Dirichlet type, for non-convex ordinary differential inclusions under Caratheodory assumptions. By counterexamples we show that an analogous existence result is non-valid for non-convex partial differential inclusions. |
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