Author

Frank O. Lane

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)

L. La Paz

Second Committee Member

Victor Regener

Third Committee Member

A.W. Boldyreff

Language

English

Keywords

Darboux Inverse Problem, Variations, Non-Eular Differential Equations

Document Type

Thesis

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