ISSN:
1572-932X
Keywords:
47H20
;
34A60
;
54C65
;
Nonlinear semigroup
;
semicontinuous multifunctions
;
directionally continuous selection
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The paper is concerned with the evolution inclusionx′∈Ax+F(t,x), whereA generates a contractive semigroup andF is a lower semicontinuous multifunction. Constructing a suitable directionally continuous selection fromF, we prove the existence of solutions on a closed domain and the connectedness of the set of trajectories.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01026833
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