The minimal norm problem and Pontriagin's maximum principle for Banach spaces (I)
Grażyna Toporowska (1969)
Studia Mathematica
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Grażyna Toporowska (1969)
Studia Mathematica
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Tadumadze, T., Gelashvili, K. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Tomáš Roubíček (1984)
Kybernetika
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Antonio S. Granero (2008)
Acta Universitatis Carolinae. Mathematica et Physica
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Francisco Javier García-Pacheco (2015)
Open Mathematics
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In this manuscript we find another class of real Banach spaces which admit vector-valued Banach limits different from the classes found in [6, 7]. We also characterize the separating subsets of ℓ∞(X). For this we first need to study when the space of almost convergent sequences is closed in the space of bounded sequences, which turns out to happen only when the underlying space is complete. Finally, a study on the extremal structure of the set of vector-valued Banach limits is conducted...
A. C. Babu (1982)
Publications de l'Institut Mathématique
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N.U. Ahmed (2013)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper we consider the question of existence of measure valued solutions for neutral differential equations on Banach spaces when there is no mild solutions. We prove the existence of measure solutions and their regularity properties. We consider also control problems of such systems and prove existence of optimal feedback controls for some interesting a-typical control problems.