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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Set-valued analysis 1 (1993), S. 47-63 
    ISSN: 1572-932X
    Keywords: 34A60 ; 54C65 ; Lipschitz multifunction ; directional continuity ; Hölder continuous selection
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We consider two continuous selection problems related to the differential inclusion $$\dot x$$ ∈F(t, x). Assuming thatF is Hölder or Lipschitz continuous with compact, not necessarily convex values, we provide estimates on the modulus of continuity of these selections.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Set-valued analysis 2 (1994), S. 415-437 
    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
    Library Location Call Number Volume/Issue/Year Availability
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