GENERALIZATION OF APPLICATION OF FUNDAMENTAL LEMMA OF VARIATIONAL CALCULUS

  • Aleksandra Risteska - Kamcheski
Keywords: extreme, functional, variation, condition, transportation

Abstract

Variational calculus studied methods for finding maximum and minimum values of functional. It has its inception in 1696 year by Johan Bernoulli with its glorious problem for the brachistochrone: to find a curve, connecting two points A and B , which does not lie in a vertical, so that heavy point descending on this curve from position A to reach position in for at least time. In functional analysis variational calculus takes the same space, as well as theory of maxima and minimum intensity in the classic analysis.

In this paper we will prove a theorem for functional where proves that necessary condition for extreme of functional is the variation of functional is equal to zero.

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Published
2025-06-13
How to Cite
Risteska - Kamcheski, A. (2025). GENERALIZATION OF APPLICATION OF FUNDAMENTAL LEMMA OF VARIATIONAL CALCULUS. Balkan Journal of Applied Mathematics and Informatics, 8(1), 19-26. Retrieved from https://js.ugd.edu.mk/index.php/bjami/article/view/7135
Section
Articles