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Preprints Archive: Abstract of IC2010097 (2010)

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Analysis of the F. Calogero type projection-algebraic scheme for differential operator equations

by Miroslaw Lustyk, Nikolai N. Bogolubov (Jr.), Denis Blackmore and Anatoliy K. Prykarpatsky

Document info: Pages 15, Figures 2.

The existence, convergence, realizability and stability of solutions of differential operator equations obtained via a novel projection-algebraic scheme are analyzed in detail. This analysis is based upon classical discrete approximation techniques coupled with a recent generalization of the Leray-Schauder fixed point theorem. An example is included to illustrate the efficacy of the projection scheme and analysis strategy.

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