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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| Format: | Article |
| Language: | English |
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Hindawi Limited
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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doaj-46de04cda04947ed88ba02c8e1fd9e7c2020-11-25T01:04:42ZengHindawi LimitedAbstract 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Peiguang Wang Qing Xu Xiaojing Liu |
| spellingShingle |
Peiguang Wang Qing Xu Xiaojing Liu Integral Stability in Terms of Two Measures for Nonlinear Differential Systems with “Maxima” Abstract and Applied Analysis |
| author_facet |
Peiguang Wang Qing Xu Xiaojing Liu |
| author_sort |
Peiguang Wang |
| title |
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_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_sort |
integral stability in terms of two measures for nonlinear differential systems with “maxima” |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2014-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2014/656290 |
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