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.
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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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