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Investigation Of Sufficient Conditions For A Non-Regular Problem In The Calculus Of Variations., Sam Waldman
Investigation Of Sufficient Conditions For A Non-Regular Problem In The Calculus Of Variations., Sam Waldman
Student Work
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 [1] will apply. In this chapter, we shall state for your convenience some definitions, theorems and conditions from [2]. 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 …