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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| _version_ | 1832556239600484352 |
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| author | A. Ashyralyev P. E. Sobolevskii |
| author_facet | A. Ashyralyev P. E. Sobolevskii |
| author_sort | A. Ashyralyev |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-071d66918cc044de9f6e989c9d7ca130 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-071d66918cc044de9f6e989c9d7ca1302025-02-03T05:45:57ZengWileyAbstract and Applied Analysis1085-33751687-04092001-01-016526729710.1155/S1085337501000616On the stability of the linear delay differential and difference equationsA. Ashyralyev0P. E. Sobolevskii1Department of Mathematics, Fatih University, Buyukcekmece, Istanbul 34900, TurkeyInstitute of Mathematics, Hebrew University, Jerusalem, IsraelWe 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.http://dx.doi.org/10.1155/S1085337501000616 |
| spellingShingle | A. Ashyralyev P. E. Sobolevskii On the stability of the linear delay differential and difference equations Abstract and Applied Analysis |
| title | On the stability of the linear delay differential and difference equations |
| title_full | On the stability of the linear delay differential and difference equations |
| title_fullStr | On the stability of the linear delay differential and difference equations |
| title_full_unstemmed | On the stability of the linear delay differential and difference equations |
| title_short | On the stability of the linear delay differential and difference equations |
| title_sort | on the stability of the linear delay differential and difference equations |
| url | http://dx.doi.org/10.1155/S1085337501000616 |
| work_keys_str_mv | AT aashyralyev onthestabilityofthelineardelaydifferentialanddifferenceequations AT pesobolevskii onthestabilityofthelineardelaydifferentialanddifferenceequations |