An extension of ‘separation-of-variables’ for time-dependent excitations

Ojalvo, I. U.

doi:10.1090/qam/140807

Author: I. U. Ojalvo
Journal: Quart. Appl. Math. 20 (1963), 390-394
MSC: Primary 35.06
DOI: https://doi.org/10.1090/qam/140807
MathSciNet review: 140807
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M. Phillips, Solution de divers problèmes de Mécanique..., J. Math. Purés et App., (2) 9, 25–83 (1864)

R. D. Mindlin and L. E. Goodman, Beam vibrations with time-dependent boundary conditions, J. Appl. Mech. 17 (1950), 377–380. MR 0038830

S. Timoshenko, Vibration Problems in Engineering, D. Van Nostrand, N. Y., 3rd Ed., 1955

J. G. Berry and P. M. Naghdi, On the vibration of elastic bodies having time-dependent boundary conditions, Quart. Appl. Math. 14 (1956), 43–50. MR 79436, DOI https://doi.org/10.1090/S0033-569X-1956-79436-9
Tse-sun Chow, On the solution of certain differential equations by characteristic function expansions, Quart. Appl. Math. 16 (1958), 227–235. MR 101961, DOI https://doi.org/10.1090/S0033-569X-1958-0101961-5

I. U. Ojalvo, Conduction with time-dependent heat sources and boundary conditions, to appear in the Int. J. Heat & Mass Transfer

Bernard Friedman, Principles and techniques of applied mathematics, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1956. MR 0079181