This article is cited in 2 papers

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

È. M. Podgaetskii

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

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

Key words: nonlinear integral equation, diffusion problem, method of two-sided estimates.

UDC: 519.642

Received: 25.01.2010
Revised: 14.09.2010

 English version: Computational Mathematics and Mathematical Physics, 2011, 51:4, 616–623

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