The minimal norm problem and Pontriagin's maximum principle for Banach spaces (I)
Grażyna Toporowska (1969)
Studia Mathematica
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Displaying similar documents to “The minimal-norm problem and Pontriagin's maximum principle for Banach spaces, II”
The minimal norm problem and Pontriagin's maximum principle for Banach spaces (I)
The existence theorem for one class of optimal problems in Banach space.
Tadumadze, T., Gelashvili, K. (2000)
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Time-optimal control of nonlinear parabolic systems with constrained derivative of control, existence theorem
Tomáš Roubíček (1984)
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The Krein-Šmulian theorem and its extension
Antonio S. Granero (2008)
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Extremal properties of the set of vector-valued Banach limits
Francisco Javier García-Pacheco (2015)
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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 Converse To A Generalized Banach Contraction Principle
A. C. Babu (1982)
Publications de l'Institut Mathématique
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Measure valued solutions for systems governed by neutral differential equations on Banach spaces and their optimal control
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.