On the stability of the linear delay differential and difference equations

A. Ashyralyev and P. E. Sobolevskii

Abstract and Applied Analysis, 2001, vol. 6, 1-31

Abstract:

We consider the initial-value problem for linear delay partial differential equations of the parabolic type. We give a sufficient condition for the stability of the solution of this initial-value problem. We present the stability estimates for the solutions of the first and second order accuracy difference schemes for approximately solving this initial-value problem. We obtain the stability estimates in Hölder norms for the solutions of the initial-value problem of the delay differential and difference equations of the parabolic type.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:535262

DOI: 10.1155/S1085337501000616

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