Nonstandard variational calculus with applications to classical mechanics. I: An existence criterion

DOI10.1023/A:1026661620598zbMath0937.49010OpenAlexW245348235MaRDI QIDQ1805674

Fabio Bagarello

Publication date: 18 November 1999

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026661620598

zbMATH Keywords

variational methodsnonstandard analysisEuler-Lagrange equation

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Other variational principles in mechanics (70H30) Nonstandard models in mathematics (03H05) Existence theories in calculus of variations and optimal control (49J99) Other applications of nonstandard models (economics, physics, etc.) (03H10)

Related Items (3)

Calculus of variations with hyperdifferential operators from Tabasaki-Takebe-Toda lattice arguments ⋮ Non-linear dynamics with non-standard Lagrangians ⋮ A New Approach to Nonstandard Analysis

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