Nonstandard variational calculus with applications to classical mechanics. 2. The inverse problem and more

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Abstract

In this paper we continue analyzing the possible applications of nonstandard analysis to variational problems, with particular interest in classical mechanics. In particular, we adapt various techniques of numerical analysis to solve the nonstandard version of the Euler-Lagrange equation for both one-and multidimensional systems. We also start an introductory analysis of the inverse problem of the calculus of variation, identifying a class of nonstandard difference equations for which a first-order Lagrangian can be obtained.
Lingua originaleEnglish
pagine (da-a)1593-1615
Numero di pagine23
RivistaInternational Journal of Theoretical Physics
Volume38
Stato di pubblicazionePublished - 1999

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Physics and Astronomy (miscellaneous)

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