Practical Stability in terms of Two Measures for Set Differential Equations on Time Scales
We present a new comparison principle by introducing a notion of upper quasi-monotone nondecreasing and obtain the practical stability criteria for set valued differential equations in terms of two measures on time scales by using the vector Lyapunov function together with the new comparison princip...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/241034 |
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| _version_ | 1832553511541276672 |
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| author | Peiguang Wang Weiwei Sun |
| author_facet | Peiguang Wang Weiwei Sun |
| author_sort | Peiguang Wang |
| collection | DOAJ |
| description | We present a new comparison principle by introducing a notion of upper quasi-monotone nondecreasing and obtain the practical stability criteria for set valued differential equations in terms of two measures on time scales by using the vector Lyapunov function together with the new comparison principle. |
| format | Article |
| id | doaj-art-f7174d4a81914289836b382fd96272b2 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-f7174d4a81914289836b382fd96272b22025-02-03T05:53:50ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/241034241034Practical Stability in terms of Two Measures for Set Differential Equations on Time ScalesPeiguang Wang0Weiwei Sun1College of Electronic and Information Engineering, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Computer Science, Hebei University, Baoding 071002, ChinaWe present a new comparison principle by introducing a notion of upper quasi-monotone nondecreasing and obtain the practical stability criteria for set valued differential equations in terms of two measures on time scales by using the vector Lyapunov function together with the new comparison principle.http://dx.doi.org/10.1155/2014/241034 |
| spellingShingle | Peiguang Wang Weiwei Sun Practical Stability in terms of Two Measures for Set Differential Equations on Time Scales The Scientific World Journal |
| title | Practical Stability in terms of Two Measures for Set Differential Equations on Time Scales |
| title_full | Practical Stability in terms of Two Measures for Set Differential Equations on Time Scales |
| title_fullStr | Practical Stability in terms of Two Measures for Set Differential Equations on Time Scales |
| title_full_unstemmed | Practical Stability in terms of Two Measures for Set Differential Equations on Time Scales |
| title_short | Practical Stability in terms of Two Measures for Set Differential Equations on Time Scales |
| title_sort | practical stability in terms of two measures for set differential equations on time scales |
| url | http://dx.doi.org/10.1155/2014/241034 |
| work_keys_str_mv | AT peiguangwang practicalstabilityintermsoftwomeasuresforsetdifferentialequationsontimescales AT weiweisun practicalstabilityintermsoftwomeasuresforsetdifferentialequationsontimescales |