Stability theorem for hyperbolic equations with unbounded time delay shows effective approximations in Hilbert space.
In this paper, we establish a stability theorem for the initial value problem of hyperbolic equations with an unbounded time delay term in a Hilbert space.We also present a second order of accuracy difference scheme for approximating the solution to this problem and prove a corresponding stability theorem for the proposed difference scheme.
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A. Ashyralyev (2025) studied this question.
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