On a multivalued second order differential problem with Hukuhara derivative
Titel:
On a multivalued second order differential problem with Hukuhara derivative
Auteur:
Magdalena Piszczek
Verschenen in:
Opuscula mathematica
Paginering:
Jaargang 28 (2008) nr. 2 pagina's 151-161
Jaar:
2008
Inhoud:
Let $K$ be a closed convex cone with the nonempty interior in a real Banach space and let $cc(K)$ denote the family of all nonempty convex compact subsets of $K$. Assume that continuous linear multifunctions $H,\Psi : K \to cc(K)$ are given. We consider the following problem $$D^2\Phi(t,x) = \Phi(t,H(x)),$$ $$D\Phi(t,x)|_{t=0} = \{0\},$$ $$\Phi(0,x) = \Psi(x)$$ for $t > 0$ and $x \in K$, where $D\Phi(t,x)$ denotes the Hukuhara derivative of $\Phi(t,x)$ with respect to $t$.
Uitgever:
AGH University of Science and Technology (provided by DOAJ)
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