Cover: Extended Functional Variation.

Extended Functional Variation.

Published 1962

by Dominic G. B. Edelen

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An attempt to apply variational perturbation techniques to the problem of determining possible effects of time-dependent coefficients in the governing stability and dynamic load equations of boost vehicles. A general class of extended functional variations is considered, wherein the Lagrangian functions defining the action functionals are assumed to depend on the independent variables and on a collection of geometric objects defined over the range space of the independent variables. Such extended functional variations arise when one subjects the Lagrangian function to transformations in its arguments resulting from coordinate transformations, variations of the collection of geometric objects, or a confluence of the two. The result of principal applicability to the boost-vehicle problem is the establishment of the uniformality of the variational perturbation technique

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