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On a continuous method for solving nonlinear operator equations

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Abstract

We suggest a continuous method for solving nonlinear operator equations in Banach spaces. The proof of the convergence of the method is based on stability criteria for solutions of differential equations. The implementation of the method does not require the construction of inverse operators. Criteria for the global convergence are derived.

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Authors and Affiliations

  1. Penza State University, Penza, Russia

    I. V. Boikov

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  1. I. V. Boikov
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Original Russian Text © I.V. Boikov, 2012, published in Differentsial’nye Uravneniya, 2012, Vol. 48, No. 9, pp. 1308–1314.

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Boikov, I.V. On a continuous method for solving nonlinear operator equations. Diff Equat 48, 1288–1295 (2012). https://doi.org/10.1134/S001226611209008X

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  • DOI: https://doi.org/10.1134/S001226611209008X

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