Ashyralyev, AllaberenAgirseven, DenizTurk, Koray2024-06-122024-06-1220200354-5180https://doi.org/10.2298/FIL2004251Ahttps://hdl.handle.net/20.500.14551/21808In this study, the initial value problem for telegraph equations with time delay in a Hilbert space is considered. The main theorem on stability estimates for the solution of this problem is established. As a test problem, one-dimensional delay telegraph equation with the Dirichlet boundary condition is considered. Numerical solutions of this problem are obtained by first and second order of accuracy difference schemes.en10.2298/FIL2004251Ainfo:eu-repo/semantics/openAccessInitial And Boundary Value ProblemsDifference SchemesDelay Telegraph EquationsStabilityDifferential EquationsArticle34412511259Q3WOS:0006007908000162-s2.0-85000642947Q3