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Two-sided estimates for the solution of a nonlinear integral equation in a diffusion problem

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Abstract

For a particular nonlinear integral equation, its solution is constructed using sharp two-sided estimates and their convergence to the solution is proved.

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Authors and Affiliations

  1. Institute of Applied Mechanics, Russian Academy of Sciences, Leninskii pr. 32a, Moscow, 119991, Russia

    E. M. Podgaetskii

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  1. E. M. Podgaetskii
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Correspondence to E. M. Podgaetskii.

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Original Russian Text © E.M. Podgaetskii, 2011, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2011, Vol. 51, No. 4, pp. 661–668.

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Podgaetskii, E.M. Two-sided estimates for the solution of a nonlinear integral equation in a diffusion problem. Comput. Math. and Math. Phys. 51, 616–623 (2011). https://doi.org/10.1134/S0965542511040142

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  • DOI: https://doi.org/10.1134/S0965542511040142

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