Survey of the Theory of Extremal Problems

DOI10.1007/978-981-10-0476-6_6zbMath1391.49002OpenAlexW2479959731MaRDI QIDQ4604744

Vladimir M. Tikhomirov

Publication date: 5 March 2018

Published in: Advances in Mathematical Economics Volume 20 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-10-0476-6_6

zbMATH Keywords

existence of solutionstheory of extremal problemsimplicit functionsHilbert's 20th problem

Mathematics Subject Classification ID

Convex programming (90C25) Linear programming (90C05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) History of calculus of variations and optimal control (49-03) Implicit function theorems, Jacobians, transformations with several variables (26B10) Inverse problems involving ordinary differential equations (34A55) Convexity of real functions of several variables, generalizations (26B25) Optimality conditions for problems involving ordinary differential equations (49K15) Research exposition (monographs, survey articles) pertaining to history and biography (01-02) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02)

Cites Work

• Some mapping theorems
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• Location of the Maximum on Unimodal Surfaces
• A Note on Inverse Function Theorems
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