
Accession Number : AD0672929
Title : AN APPLICATION OF A NEWTONLIKE METHOD TO THE EULERLAGRANGE EQUATION,
Corporate Author : CALIFORNIA UNIV LOS ANGELES
Personal Author(s) : Tapia,Richard A.
Report Date : 1968
Pagination or Media Count : 20
Abstract : It is known that any function which minimizes a functional of the form J(y) = the integral taken from a to b, of f(x,y,y') and satisfies prescribed boundary values must be a solution of the corresponding EulerLagrange equation: f sub 3(x,y,y')  (the integral taken from a to x of f sub 2(x,y,y')) = c. Let us call any equation of the form: g(x,y,y')  (the integral taken from a to x of h(x,y,y')) = c a generalized EulerLagrange equation. In this paper we propose a Newtonlike method and show that this proposed method is general enough to enable us to construct solutions of the generalized EulerLagrange equation. (Author)
Descriptors : (*FUNCTIONAL ANALYSIS, INTEGRAL EQUATIONS), (*CALCULUS OF VARIATIONS, NUMERICAL METHODS AND PROCEDURES), BANACH SPACE, SEQUENCES(MATHEMATICS), OPERATORS(MATHEMATICS), ITERATIONS, CONVERGENCE, THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE