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.
DE BLASI, F.s., Pianigiani, G. (2007). Baire category and boundary value problems for ordinary and partial differential inclusions under Caratheodory assumptions. JOURNAL OF DIFFERENTIAL EQUATIONS, 243(2), 558-577 [10.1016/j.jde.2007.05.036].
Baire category and boundary value problems for ordinary and partial differential inclusions under Caratheodory assumptions
DE BLASI, FRANCESCO SAVERIO;
2007-01-01
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.File in questo prodotto:
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