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Holomorphic Regularization of Singular Perturbations in a Banach Space

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Abstract

The holomorphic regularization method, which is a natural extension of Lomov’s regularization method, is used to solve strongly nonlinear singularly perturbed equations in Banach spaces. The existence of pseudoholomorphic solutions of such equations is proved, and the analytic properties of their Galerkin approximations are studied.

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Authors and Affiliations

  1. National Research University “Moscow Power Engineering Institute,”, Moscow, 111250, Russia

    V. I. Kachalov

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  1. V. I. Kachalov
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Correspondence to V. I. Kachalov.

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Original Russian Text © V.I. Kachalov, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 6, pp. 794–802.

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Kachalov, V.I. Holomorphic Regularization of Singular Perturbations in a Banach Space. Diff Equat 54, 790–798 (2018). https://doi.org/10.1134/S0012266118060071

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  • DOI: https://doi.org/10.1134/S0012266118060071

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