Titlebook: Differential Equations, Chaos and Variational Problems; Vasile Staicu Conference proceedings 2008 Birkhäuser Basel 2008 Boundary value pro

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Lipschitz Continuity of Optimal Trajectories in Deterministic Optimal Control,This note concerns existence, Lipschitz continuity and Du Bois-Reymond necessary optimality condition for optimal trajectories of an autonomous Bolza problem in control theory. Our results relax the usual fast growth condition on the Lagrangian.

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Strict Convexity, Comparison Results and Existence of Solutions to Variational Problems,The aim of this paper is to discuss the assumption of strict convexity in problems of the the Calculus of Variations, and to present some results that avoid introducing this assumption.

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Necessary Optimality Conditions for Discrete Delay Inclusions,The aim of this paper is to present a short survey of several new results concerning optimization of discrete delay inclusions. We study an optimization problem given by a discrete delay inclusion with end point constraints and we present several approaches concerning first and second-order necessary optimality conditions for this problem.

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https://doi.org/10.1007/978-3-7643-8482-1Boundary value problem; Calculus of Variations; Lagrangian mechanics; Optimal control; chaos; differentia

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Birkhäuser Basel 2008

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Radionuclide Studies of the Lungs quantitative estimates for the averaging. Advantages that can be drawn from the Young measures approach, in particular, allowing time-varying averages, are displayed along with a connection to singularly perturbed systems.

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https://doi.org/10.1007/978-3-642-41166-3gian .(·) is, e.g., lsc with coercive growth, assuming +∞ values freely. We replace convexity by almost convexity, a hypothesis which in the radial case .(., ξ) = . (., |ξ|) is automatically satisfied provided . (., · ) has superlinear growth and is convex at zero.