Optimization with partial differential equations in Dieudonne-Rashevsky form and conjugate problems

DOI10.1007/BF00247693zbMath0182.20302OpenAlexW2077536249MaRDI QIDQ2535351

Lamberto Cesari

Publication date: 1969

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00247693

zbMATH Keywords

control theory

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence theorems for multidimensional Lagrange problems
• Multidimensional Lagrange problems of optimization in a fixed domain and an application to a problem of magnetohydrodynamics
• Optimal control in a Banach space
• Differential Equations and Differential Calculus in Montel Spaces