Publication Date
Spring 5-28-1949
Abstract
The simplest non-parametric problem of the calculus of variation, the so-called direct problem of the plane, is the problem of finding that arc Co of a family of admissible arcs y=y (x) joining two fixed pointed (x1 , y1 ), (x1, y2) in the x,y-plane such that along the Co the integral takes on a minimum value.
Degree Name
Mathematics
Level of Degree
Masters
Department Name
Mathematics & Statistics
First Committee Member (Chair)
Lincoln LaPaz
Second Committee Member
Victor H. Regener
Third Committee Member
Alexander W. Boldyreff
Language
English
Keywords
Darboux Inverse Problem, Variations, Non-Eular Differential Equations
Document Type
Thesis
Recommended Citation
Lane, Frank O.. "The Darboux Inverse Problem in the Calculus of Variations." (1949). https://digitalrepository.unm.edu/math_etds/101
COinS
