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

Allaberen AshyralyevDepartment of Mathematics, Bahcesehir University, 34353, Istanbul, TurkeyCharyyar 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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