The variational formulation of the initial value problem is derived and used for the construction of a procedure for the determination of approximate solutions. For the case of periodic motion of simple oscillators this procedure is shown to reduce to conventional techniques.
On the Application of Variational Methods to Initial Value Problems in Dynamics
Applied Mechanics, IBM Research Laboratory, San Jose, Calif.
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Stuiver, W. (June 1, 1962). "On the Application of Variational Methods to Initial Value Problems in Dynamics." ASME. J. Appl. Mech. June 1962; 29(2): 242–246. https://doi.org/10.1115/1.3640536
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