Paolo Cubiotti
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View article: Existence of solutions for second-order differential inclusions associated with highly non-semicontinuous multifunctions
Existence of solutions for second-order differential inclusions associated with highly non-semicontinuous multifunctions Open
In this paper we deal with the existence of generalized solutions for the Cauchy problem associated with a second-order differential inclusion, both in explicit and in implicit form. We firstly prove an existence result for an inclusion of…
View article: Some qualitative properties of solutions of higher-order lower semicontinus differential inclusions
Some qualitative properties of solutions of higher-order lower semicontinus differential inclusions Open
Let n, k ∈ N, T > 0, and F : [0, T ] × (R n ) k → 2 R n be a lower semicontinuos and bounded multifunction with nonempty closed values.We prove that there exists a bounded and upper semicontinuous multifunction) is a generalized solution t…
View article: On the unified approach between upper and lower semicontinuous differential inclusions
On the unified approach between upper and lower semicontinuous differential inclusions Open
In this paper, we consider a k-th order differential inclusion with a multifunction F such that its restriction to the complement of a suitable null-measure set is lower semicontinuous and bounded.We prove that there exists an upper semico…