Sultanov, MuratAkylbaev, MusabekIbragimov, Raskul2022-01-052022-01-052018-01-23Sultanov, M. A., Akylbaev, M. I., & Ibragimov, R. (2018). Conditional stability of a solution of a difference scheme for an ill-posed Cauchy problem. <i>Electronic Journal of Differential Equations, 2018</i>(33), pp. 1-17.1072-6691https://hdl.handle.net/10877/15089In this article, we obtain criteria for stability of two-layer difference schemes for an abstract ill-posed Cauchy problem. Method of proof is based on obtaining a priori difference weighted Carleman type estimates. Stability conditions for solutions of two-layer difference schemes are used to prove the theorem of conditional stability of a solution of three-layer scheme that approximates an ill-posed Cauchy problem for an integral-differential equation associated with a coefficient inverse problem.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalCarleman estimatesIll-posed Cauchy problemsFinite stabilityDifference operatorNumerical solutionArticle