On the stability of the linear delay differential and difference equations
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 di...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337501000616 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |