Abstract and Applied Analysis

A Note on the Stability of the Integral-Differential Equation of the Parabolic Type in a Banach Space

Maksat Ashyraliyev

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The integral-differential equation of the parabolic type in a Banach space is considered. The unique solvability of this equation is established. The stability estimates for the solution of this equation are obtained. The difference scheme approximately solving this equation is presented. The stability estimates for the solution of this difference scheme are obtained.

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Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 178084, 18 pages.

First available in Project Euclid: 5 April 2013

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Ashyraliyev, Maksat. A Note on the Stability of the Integral-Differential Equation of the Parabolic Type in a Banach Space. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 178084, 18 pages. doi:10.1155/2012/178084. https://projecteuclid.org/euclid.aaa/1365174065

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