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JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Vychislitelnaya Matematika i Informatika" // Archive

Vestn. YuUrGU. Ser. Vych. Matem. Inform., 2012 Issue 2, Pages 12–21 (Mi vyurv123)

Computational Mathematics

On the uniqueness of the inverse problem of unsteady filtration

A. V. Bokov

South Ural State University (Chelyabinsk, Russian Federation)

Abstract: When determining the coefficient of the hydraulic conductivity of oil layer by the method of the hydrodynamic listening of mining holes well is necessary to solve the inverse task of filtration. Thus it is important to set the task so that to provide the uniqueness of the decision. In this article sufficiency conditions for the uniqueness of the inverse problem are defined.

Keywords: inverse problem of filtration, Laplace transform, Sturm–Liouville problem.

UDC: 517.948

Received: 08.11.2012

DOI: 10.14529/cmse120202



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