#### 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 C_{o }of a family of admissible arcs y=y (x) joining two fixed pointed (x_{1} , y_{1 }), (x_{1, }y_{2}) in the x,y-plane such that along the C_{o }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