Exponential Stability of Difference Equations with Several Delays: Recursive Approach
We obtain new explicit exponential stability results for difference equations with several variable delays and variable coefficients. Several known results, such as Clark's asymptotic stability criterion, are generalized and extended to a new class of equations.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2009/104310 |
| _version_ | 1818513728996376576 |
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| author | Leonid Berezansky Elena Braverman |
| author_facet | Leonid Berezansky Elena Braverman |
| author_sort | Leonid Berezansky |
| collection | DOAJ |
| description | We obtain new explicit exponential stability results for difference equations with several variable delays and variable coefficients. Several known results, such as Clark's asymptotic stability criterion, are generalized and extended to a new class of equations. |
| first_indexed | 2024-12-11T00:05:36Z |
| format | Article |
| id | doaj.art-f545db33cd144b83b3daa2059761b3d6 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-12-11T00:05:36Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-f545db33cd144b83b3daa2059761b3d62022-12-22T01:28:20ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472009-01-01200910.1155/2009/104310Exponential Stability of Difference Equations with Several Delays: Recursive ApproachLeonid BerezanskyElena BravermanWe obtain new explicit exponential stability results for difference equations with several variable delays and variable coefficients. Several known results, such as Clark's asymptotic stability criterion, are generalized and extended to a new class of equations.http://dx.doi.org/10.1155/2009/104310 |
| spellingShingle | Leonid Berezansky Elena Braverman Exponential Stability of Difference Equations with Several Delays: Recursive Approach Advances in Difference Equations |
| title | Exponential Stability of Difference Equations with Several Delays: Recursive Approach |
| title_full | Exponential Stability of Difference Equations with Several Delays: Recursive Approach |
| title_fullStr | Exponential Stability of Difference Equations with Several Delays: Recursive Approach |
| title_full_unstemmed | Exponential Stability of Difference Equations with Several Delays: Recursive Approach |
| title_short | Exponential Stability of Difference Equations with Several Delays: Recursive Approach |
| title_sort | exponential stability of difference equations with several delays recursive approach |
| url | http://dx.doi.org/10.1155/2009/104310 |
| work_keys_str_mv | AT leonidberezansky exponentialstabilityofdifferenceequationswithseveraldelaysrecursiveapproach AT elenabraverman exponentialstabilityofdifferenceequationswithseveraldelaysrecursiveapproach |