A Stability Result for the Solutions of a Certain System of Fourth-Order Delay Differential Equation
The main purpose of this work is to give sufficient conditions for the uniform stability of the zero solution of a certain fourth-order vector delay differential equation of the following form: X(4)+F(X˙,X¨)X⃛+Φ(X¨)+G(X˙(t-r))+H(X(t-r))=0. By constructing a Lyapunov functional, we obtained the resul...
| Published in: | International Journal of Differential Equations |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Online Access: | http://dx.doi.org/10.1155/2015/618359 |
| Summary: | The main purpose of this work is to give sufficient conditions for the uniform stability of the zero solution of a certain fourth-order vector delay differential equation of the following form: X(4)+F(X˙,X¨)X⃛+Φ(X¨)+G(X˙(t-r))+H(X(t-r))=0. By constructing a Lyapunov functional, we obtained the result of stability. |
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| ISSN: | 1687-9643 1687-9651 |