ISSN:
1588-2829
Keywords:
1991 Primary 34K99
;
46B99
;
Semi-continuous nonconvex perturbation
;
multivalued maccretive operator
;
Banach-space
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In this paper we prove the existence of solutions of the differential inclusions $$\left\{ \begin{gathered} \dot X(t) \in - A_t (X(t)) + F(t,X(t)),,0 \leqslant t \leqslant T_0 \hfill \\ X(0) = x_0 \hfill \\ \end{gathered} \right.$$ whereA t is a multivaluedm-accretive operator on a Banach spaceE andF is a measurable multifunction defined on the set $$G = \overline {\{ (t,x):A_t (x) \ne 0/\} } $$ , lower semicontinuous inx and its values are not necessarily convex inE. This result generalizes some results in [1] and [9].
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01877156
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