Date of Award
Master of Arts (MA)
Dr. John P. Maloney
In his paper, Ewing has established sufficient conditions for a non-regular problem in the calculus of variations. In chapter 2, we shall discuss his method. In chapter 3, we will provide an example in which the main result of  will apply. In this chapter, we shall state for your convenience some definitions, theorems and conditions from . We will suppose that there is a region of R of xyz 1/Space in which the integrand function f(x,y,z) has continuous partial derivatives up to and including those of the fourth order. The general problem of the calculus of variations is finding in a class of arcs E:y(x), x1 less than or equal to x less than or equal to x2 joining two fixed points 1 and 2 in xy space, one which minimizes an integral of the form.
Waldman, Sam, "Investigation of sufficient conditions for a non-regular problem in the calculus of variations." (1973). Student Work. 3559.