THE RELATION BETWEEN THE GREEN'S THEOREM APPROACH AND THE INDIRECT METHODS FOR EXTREMAL PROBLEMS OF A LINEAR TYPE
MIELE,ANGELO · Defense Technical Information Center (DTIC) · 1961
Discontinuous solutions associated with variational problems of a linear type are approached using either Green's theorem or the indirect methods of the Calculus of Variations. With one approach, the fundamental function is employed in combination with Green's theorem. Consequently, by knowing the fundamental function, it is possible to calculate the switching function and, hence, to predict the composition of the extremal arc by means of the LegendreClebsch condition. (Author)