On Stability of Linear Delay Differential Equations under Perron's Condition
The stability of the zero solution of a system of first-order linear functional differential equations with nonconstant delay is considered. Sufficient conditions for stability, uniform stability, asymptotic stability, and uniform asymptotic stability are established.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/134072 |
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| _version_ | 1832551753780822016 |
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| author | J. Diblík A. Zafer |
| author_facet | J. Diblík A. Zafer |
| author_sort | J. Diblík |
| collection | DOAJ |
| description | The stability of the zero solution of a system of first-order
linear functional differential equations with nonconstant delay is considered.
Sufficient conditions for stability, uniform stability, asymptotic stability, and
uniform asymptotic stability are established. |
| format | Article |
| id | doaj-art-a25d26eb3f7e4f15922ca69866cf9d24 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a25d26eb3f7e4f15922ca69866cf9d242025-02-03T06:00:41ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/134072134072On Stability of Linear Delay Differential Equations under Perron's ConditionJ. Diblík0A. Zafer1Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, Brno 602 00, Czech RepublicDepartment of Mathematics, Middle East Technical University, 06531 Ankara, TurkeyThe stability of the zero solution of a system of first-order linear functional differential equations with nonconstant delay is considered. Sufficient conditions for stability, uniform stability, asymptotic stability, and uniform asymptotic stability are established.http://dx.doi.org/10.1155/2011/134072 |
| spellingShingle | J. Diblík A. Zafer On Stability of Linear Delay Differential Equations under Perron's Condition Abstract and Applied Analysis |
| title | On Stability of Linear Delay Differential Equations under Perron's Condition |
| title_full | On Stability of Linear Delay Differential Equations under Perron's Condition |
| title_fullStr | On Stability of Linear Delay Differential Equations under Perron's Condition |
| title_full_unstemmed | On Stability of Linear Delay Differential Equations under Perron's Condition |
| title_short | On Stability of Linear Delay Differential Equations under Perron's Condition |
| title_sort | on stability of linear delay differential equations under perron s condition |
| url | http://dx.doi.org/10.1155/2011/134072 |
| work_keys_str_mv | AT jdiblik onstabilityoflineardelaydifferentialequationsunderperronscondition AT azafer onstabilityoflineardelaydifferentialequationsunderperronscondition |