Controllability on infinite time horizon for functional differential and integro-differential inclusions in Banach spaces with nonlocal conditions (Q2782913)

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scientific article; zbMATH DE number 1725721
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Controllability on infinite time horizon for functional differential and integro-differential inclusions in Banach spaces with nonlocal conditions
scientific article; zbMATH DE number 1725721

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    8 April 2002
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    functional differential inclusions
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    controllability
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    nonlocal conditions
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    nonlinear integrodifferential systems
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    fixed point theorem
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    Schaefer's theorem
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    Controllability on infinite time horizon for functional differential and integro-differential inclusions in Banach spaces with nonlocal conditions (English)
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    The authors establish sufficient conditions for controllability on semi-infinite intervals for functional differential and integrodifferential inclusions in Banach space with nonlocal conditions.NEWLINENEWLINENEWLINEIn general, one obtains controllability for nonlinear functional differential systems and nonlinear integrodifferential systems, on compact intervals in Banach space, by using the Schauder fixed point theorem.NEWLINENEWLINENEWLINEHere, the authors rely on a previous fixed point theorem of Ma, which is an extension of Schaefer's theorem to locally convex topological spaces.
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