Abstract
This project work examines the use of Lagrange multipliers to calculus of
variation (isoperimetric problem). Basic definition of terms were given, necessary
and sufficient condition for a function to be maxima or minima, how
to identify Lagrange multipliers .in any given problem and general useage
of largange multipliers, Lagrange multiplier in unconstraint and constraint
problems, theorems and proof related to Lagrange multipliers. Literature
review, Euler's Multiplier rule anisoperimetric problem, proof's motivated
by Euler and Lagrange, the power system economic operation.
Methods of solving Lagrange function, i also included derivation of EulerLagrange
equation and other form's of Euler equation, cxtremal,cnlculus of
variation, isoperimetric problems and method for solving extrema of a given
function (minimum and maximum) were examined. Numerical examples were provided.
OLUWAKEMI, A (2021). A Study And The Use Of Lagrange Multiplier In Calculus Of Variation. Afribary. Retrieved from https://afribary.com/works/a-study-and-the-use-of-lagrange-multiplier-in-calculus-of-variation
OLUWAKEMI, ABDULYEKEEN "A Study And The Use Of Lagrange Multiplier In Calculus Of Variation" Afribary. Afribary, 21 May. 2021, https://afribary.com/works/a-study-and-the-use-of-lagrange-multiplier-in-calculus-of-variation. Accessed 07 May. 2024.
OLUWAKEMI, ABDULYEKEEN . "A Study And The Use Of Lagrange Multiplier In Calculus Of Variation". Afribary, Afribary, 21 May. 2021. Web. 07 May. 2024. < https://afribary.com/works/a-study-and-the-use-of-lagrange-multiplier-in-calculus-of-variation >.
OLUWAKEMI, ABDULYEKEEN . "A Study And The Use Of Lagrange Multiplier In Calculus Of Variation" Afribary (2021). Accessed May 07, 2024. https://afribary.com/works/a-study-and-the-use-of-lagrange-multiplier-in-calculus-of-variation