Abstract
The differential equations of the linear theory of thin shells of revolution as derived by A. Kalnins in terms of eight fundamental state variables from the Reissner-Meissner equations, and subject to appropriate boundary conditions, are reduced to a system of integro-differential equations of the Riccati type subject to initial conditions. The reduction is meaningful on theoretical grounds since it offers an alternative description of a boundary value problem in terms of a Cauchy system, and valuable from a numerical point of view. on account of the inherent stability of the resulting sequential algorithms. A discussion on rigorous and computational aspects closes the presentation.
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