A New Instability Result to Nonlinear Vector Differential Equations of Fifth Order
By constructing a Lyapunov function, a new instability result is established, which guarantees that the trivial solution of a certain nonlinear vector differential equation of the fifth order is unstable. An example is also given to illustrate the importance of the result obtained. By this way, our...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2008/971534 |
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| _version_ | 1850163543838556160 |
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| author | Cemil Tunç Melike Karta |
| author_facet | Cemil Tunç Melike Karta |
| author_sort | Cemil Tunç |
| collection | DOAJ |
| description | By constructing a Lyapunov function, a new instability result is established,
which guarantees that the trivial solution of a certain nonlinear vector differential equation of
the fifth order is unstable. An example is also given to illustrate the importance of the result
obtained. By this way, our findings improve an instability result related to a scalar differential
equation in the literature to instability of the trivial solution to the afore-mentioned differential
equation. |
| format | Article |
| id | doaj-art-e893c217a59c403ea5f7d5b77487c644 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e893c217a59c403ea5f7d5b77487c6442025-08-20T02:22:15ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2008-01-01200810.1155/2008/971534971534A New Instability Result to Nonlinear Vector Differential Equations of Fifth OrderCemil Tunç0Melike Karta1Department of Mathematics, Faculty of Arts and Sciences, Yüzüncü Yıl University, 65080 Van, TurkeyInstitute of Sciences, Yüzüncü Yıl University, 65080 Van, TurkeyBy constructing a Lyapunov function, a new instability result is established, which guarantees that the trivial solution of a certain nonlinear vector differential equation of the fifth order is unstable. An example is also given to illustrate the importance of the result obtained. By this way, our findings improve an instability result related to a scalar differential equation in the literature to instability of the trivial solution to the afore-mentioned differential equation.http://dx.doi.org/10.1155/2008/971534 |
| spellingShingle | Cemil Tunç Melike Karta A New Instability Result to Nonlinear Vector Differential Equations of Fifth Order Discrete Dynamics in Nature and Society |
| title | A New Instability Result to Nonlinear Vector Differential Equations of Fifth Order |
| title_full | A New Instability Result to Nonlinear Vector Differential Equations of Fifth Order |
| title_fullStr | A New Instability Result to Nonlinear Vector Differential Equations of Fifth Order |
| title_full_unstemmed | A New Instability Result to Nonlinear Vector Differential Equations of Fifth Order |
| title_short | A New Instability Result to Nonlinear Vector Differential Equations of Fifth Order |
| title_sort | new instability result to nonlinear vector differential equations of fifth order |
| url | http://dx.doi.org/10.1155/2008/971534 |
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