Ashyralyev, AllaberenAgirseven, Deniz2024-06-122024-06-1220141072-6691https://hdl.handle.net/20.500.14551/20365In this article, we study the stability of the initial value problem for the delay differential equation dv(t)/dt broken vertical bar Av(t) = B(t)v(t - w) broken vertical bar f(t), t >= 0, v(t) = g(t) (-w <= t <= 0) in a Banach space E with the unbounded linear operators A and B(t) with dense domains D(A) subset of D(B(t)). We establish stability estimates for the solution of this problem in fractional spaces E-alpha. Also we obtain stability estimates in Holder norms for the solutions of the mixed problems for delay parabolic equations with Neumann condition with respect to space variables.eninfo:eu-repo/semantics/closedAccessDelay Parabolic EquationStability EstimateFractional SpaceHolder NormDifferential EquationsNumerical-MethodsWell-PosednessArticleQ3WOS:000339663300001