A Method of Conversion of some Coefficient Inverse Parabolic Problems to a Unified Type of Integral-Differential Equation

Sharif E. Guseynov; Janis S. Rimshans; Jevgenijs Kaupuzs; Artur Medvid'; Daiga Zaime

doi:10.4028/www.scientific.net/AMR.222.353

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 222A Method of Conversion of some Coefficient Inverse...

A Method of Conversion of some Coefficient Inverse Parabolic Problems to a Unified Type of Integral-Differential Equation

Abstract:

Coefficient inverse problems are reformulated to a unified integral differential equation. The presented method of conversion of the considered inverse problems to a unified Volterra integral-differential equation gives an opportunity to distribute the acquired results also to analogous inverse problems for non-linear parabolic equations of different types.

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Periodical:

Advanced Materials Research (Volume 222)

Pages:

353-356

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.222.353

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Online since:

April 2011

Authors:

Sharif E. Guseynov, Janis S. Rimshans, Jevgenijs Kaupuzs, Artur Medvid', Daiga Zaime

Keywords:

Coefficient Inverse Problems, Existence, Uniqueness, Volterra Integral-Differential Equation

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