The existence of periodic minimal energy configurations for one-dimensional infinite horizon variational problems arising in continuum mechanics

DOI10.1006/jmaa.1995.1311zbMath0869.49003OpenAlexW2008114406MaRDI QIDQ1910831

Publication date: 24 March 1996

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1995.1311

zbMATH Keywords

minimal energy solutions discrete-time variational problems infinite horizon variational problem periodic minimal solutions

Mathematics Subject Classification ID

Optimization of other properties in solid mechanics (74P10) Existence theories for problems in abstract spaces (49J27) Optimality conditions for problems in abstract spaces (49K27)

Related Items (9)

The limiting behavior of the value-function for variational problems arising in continuum mechanics ⋮ A nonintersection property for extremals of variational problems with vector-valued functions ⋮ On a resource allocation model with infinite horizon ⋮ On a class of second order variational problems with constraints ⋮ Examples of optimal solutions of infinite horizon variational problems arising in continuum mechanics ⋮ The asymptotic turnpike property and the uniqueness of a periodic minimal solution for one-dimensional variational problems ⋮ Notes on a class of one-dimensional Landau-Brazovsky models ⋮ The structure of extremals of a class of second order variational problems ⋮ The structure and limiting behavior of locally optimal minimizers.

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