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On the Stability of Parabolic Differential and Difference Equations with a Time-Nonlocal Condition

Allaberen AshyralyevInstitute of Mathematics and Mathematical Modeling, 050010, Almaty, KazakhstanCharyyar AshyralyyevDepartment of Engineering Mathematics, Gumushane University, 29100, Gumushane, Turkey

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In this paper, we study the integral type of the time-nonlocal boundary value problem for a parabolic equation. The well-posedness of these differential and difference problems in Hölder spaces is established. Numerical illustrations in a test case are presented.

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