Publication Date Apr 01, 1968 by Kaplan S.
An exposition has been given of the notions of canonical and involutory transformation in the context of variational problems involving second derivatives of the argument function. As a specific illustration the variational problem representing a beam on nonlinear-elastic foundation is discussed.
Read MorePublication Date May 01, 1967 by YaSinsky J.B., Kaplan S.
An exploration is made into a method for using reciprocal variational problems to develop figures of merit or approximate solutions of diffusion problems. The theory of the reolprocal problems Is described in both a continuous and discrete context.
Read MorePublication Date May 01, 1967 by YaSinsky J.B., Kaplan S.
A formal parallelism is shown to exist between two classical variational principles governing the time behavior of mechanical systems and two principles relating to the λ - mode eigenvalue problt'm of neutron group diffusion theory.
Read More
