Field Theories in the Modern Calculus of Variations

DOI10.2307/2000935zbMath0707.49007OpenAlexW4240927809MaRDI QIDQ3488772

Andrzej F. Nowakowski

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2000935

zbMATH Keywords

sufficient conditions for optimalitygeneralized problem of Bolzageodesic coveringsconcourse of flightsself-multiplier restriction

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (7)

Geometrical and topological methods in optimal control theory ⋮ Local non-injectivity of the exponential map at critical points in sub-Riemannian geometry ⋮ Stratifiable families of extremals and sufficient conditions for optimality in optimal control problems ⋮ The Dual Dynamic Programming ⋮ Characterizations of an approximate minimum in optimal control ⋮ Optimal bang-bang controls for a two-compartment model in cancer chemotherapy ⋮ Sufficient conditions for relative minima of broken extremals in optimal control theory

Cites Work

• Sufficient conditions for a strong relative minimum in an optimal control problem
• Existence theorems for general control problems of Bolza and Lagrange
• Convex analysis and measurable multifunctions
• Exterior differential systems and the calculus of variations
• Sufficient Conditions for the Generalized Problem of Bolza
• Regularity Properties of Solutions to the Basic Problem in the Calculus of Variations
• Optimization and nonsmooth analysis
• Generalized Gradients and Applications
• Extremal Arcs and Extended Hamiltonian Systems
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