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The Variation Problems Of Weierstrass-Bliss And Radon, Douglas M. Gragg
The Variation Problems Of Weierstrass-Bliss And Radon, Douglas M. Gragg
Mathematics & Statistics ETDs
Problems of the Calculus of Variations are generalizations of the familiar minimum problems treated in the differential calculus. The relationships between the ordinary minimum problems of the calculus and the generalizations dealt with in the Calculus of Variations is possibly best seen by examining the general Hilbert-Moore minimum problem, and the special examples of such problems formulated in the table below.
Inverse Problems Of Hamel-Type., Robert G. Schrandt
Inverse Problems Of Hamel-Type., Robert G. Schrandt
Mathematics & Statistics ETDs
The formulation and discussion of the simplest (fixed) end point direct problem of the calculus of Variation is a necessary preliminary to attack on the inverse problems considered in Chapters II and III of this thesis. Since the plane problem is already comprehensively treated in the literature, only enough of its theory is developed here to render intelligible to the reader the inverse problems studied in the sequel.