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.
"A Note on the Stability of the Integral-Differential Equation of the Parabolic Type in a Banach Space." Abstr. Appl. Anal. 2012 (SI18) 1 - 18, 2012. https://doi.org/10.1155/2012/178084