Introduction to the Subject

Eberhard Zeidler
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Eberhard Zeidler: Sektion Mathematik

A chapter in Nonlinear Functional Analysis and its Applications, 1985, pp 1-11 from Springer

Abstract: Abstract Extremal problems play an extraordinarily large role in the application of mathematics to practical problems, for example: (α) in mathematical physics (mechanics and celestial mechanics, geometrical optics, elasticity theory, hydrodynamics, rheology, relativity theory, etc.); (β) in geometry (geodesics, minimal surfaces, etc.); (γ) in mathematical economics (transport problems, optimal warehouse maintenance); (δ) in regulation technology (optimal control of general regulation systems, e.g., industrial installations, spaceships, etc.); (ε) in chemistry, geophysics, technology, etc. (optimal determination of unknown data from measurements); (ζ) in numerical mathematics (optimal structuring of approximation processes, etc.); (η) in the theory of probability (optimal control of stochastic processes, optimal estimation of unknown parameters, optimal construction of airplanes, water-power networks, etc.).

Keywords: Variational Inequality; Dual Problem; Monotone Operator; Duality Theory; Extremal Problem (search for similar items in EconPapers)
Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-5020-3_1

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DOI: 10.1007/978-1-4612-5020-3_1

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