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Variational-iterative method for integral equations

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Ukrainian Mathematical Journal Aims and scope

Abstract

We study applications of the variational-iterative method to nonlinear integral equations with potential strongly monotone and Lipschitz-continuous operators and investigate its rate of convergence for special systems of coordinate functions.

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Literature cited

  1. A. Yu. Luchka, “The variational-iterative method for nonlinear equations,” Ukr. Mat. Zh.,42, No. 10, 1328–1338 (1990).

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Ukrainian SSR

    A. Yu. Luchka

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  1. A. Yu. Luchka
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 12, pp. 1626–1635, December, 1990.

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Luchka, A.Y. Variational-iterative method for integral equations. Ukr Math J 42, 1461–1469 (1990). https://doi.org/10.1007/BF01060816

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  • DOI: https://doi.org/10.1007/BF01060816

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