New Stability Conditions for Linear Differential Equations with Several Delays
New explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation x˙(t)+∑k=1mak(t)x(hk(t))=0 with measurable delays and coefficients. These results are compared to known stability tests.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/178568 |
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| _version_ | 1832551420780347392 |
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| author | Leonid Berezansky Elena Braverman |
| author_facet | Leonid Berezansky Elena Braverman |
| author_sort | Leonid Berezansky |
| collection | DOAJ |
| description | New explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation x˙(t)+∑k=1mak(t)x(hk(t))=0 with measurable delays and coefficients. These results are compared to known stability tests. |
| format | Article |
| id | doaj-art-b34bdc76fd1746148ce5119f23d40546 |
| 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-b34bdc76fd1746148ce5119f23d405462025-02-03T06:01:32ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/178568178568New Stability Conditions for Linear Differential Equations with Several DelaysLeonid Berezansky0Elena Braverman1Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva 84105, IsraelDepartment of Mathematics and Statistics, University of Calgary, 2500 University Drive Northwest, Calgary, AB, T2N 1N4, CanadaNew explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation x˙(t)+∑k=1mak(t)x(hk(t))=0 with measurable delays and coefficients. These results are compared to known stability tests.http://dx.doi.org/10.1155/2011/178568 |
| spellingShingle | Leonid Berezansky Elena Braverman New Stability Conditions for Linear Differential Equations with Several Delays Abstract and Applied Analysis |
| title | New Stability Conditions for Linear Differential Equations with Several Delays |
| title_full | New Stability Conditions for Linear Differential Equations with Several Delays |
| title_fullStr | New Stability Conditions for Linear Differential Equations with Several Delays |
| title_full_unstemmed | New Stability Conditions for Linear Differential Equations with Several Delays |
| title_short | New Stability Conditions for Linear Differential Equations with Several Delays |
| title_sort | new stability conditions for linear differential equations with several delays |
| url | http://dx.doi.org/10.1155/2011/178568 |
| work_keys_str_mv | AT leonidberezansky newstabilityconditionsforlineardifferentialequationswithseveraldelays AT elenabraverman newstabilityconditionsforlineardifferentialequationswithseveraldelays |