Integral Stability in Terms of Two Measures for Nonlinear Differential Systems with “Maxima”
This paper investigates relatively integral stability in terms of two measures for two differential systems with “maxima” by employing Lyapunov functions, Razumikhin method, and comparison principle. An example is given to illustrate our result.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/656290 |
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| _version_ | 1832556061778771968 |
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| author | Peiguang Wang Qing Xu Xiaojing Liu |
| author_facet | Peiguang Wang Qing Xu Xiaojing Liu |
| author_sort | Peiguang Wang |
| collection | DOAJ |
| description | This paper investigates relatively integral stability in terms of two measures for two differential systems with “maxima” by employing Lyapunov functions, Razumikhin method, and comparison principle. An example is given to illustrate our result. |
| format | Article |
| id | doaj-art-46de04cda04947ed88ba02c8e1fd9e7c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-46de04cda04947ed88ba02c8e1fd9e7c2025-02-03T05:46:27ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/656290656290Integral Stability in Terms of Two Measures for Nonlinear Differential Systems with “Maxima”Peiguang Wang0Qing Xu1Xiaojing Liu2College of Electronic and Information Engineering, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Computer Science, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Computer Science, Hebei University, Baoding 071002, ChinaThis paper investigates relatively integral stability in terms of two measures for two differential systems with “maxima” by employing Lyapunov functions, Razumikhin method, and comparison principle. An example is given to illustrate our result.http://dx.doi.org/10.1155/2014/656290 |
| spellingShingle | Peiguang Wang Qing Xu Xiaojing Liu Integral Stability in Terms of Two Measures for Nonlinear Differential Systems with “Maxima” Abstract and Applied Analysis |
| title | Integral Stability in Terms of Two Measures for Nonlinear Differential Systems with “Maxima” |
| title_full | Integral Stability in Terms of Two Measures for Nonlinear Differential Systems with “Maxima” |
| title_fullStr | Integral Stability in Terms of Two Measures for Nonlinear Differential Systems with “Maxima” |
| title_full_unstemmed | Integral Stability in Terms of Two Measures for Nonlinear Differential Systems with “Maxima” |
| title_short | Integral Stability in Terms of Two Measures for Nonlinear Differential Systems with “Maxima” |
| title_sort | integral stability in terms of two measures for nonlinear differential systems with maxima |
| url | http://dx.doi.org/10.1155/2014/656290 |
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