A stability result for the solutions of a certain system of fourth-order delay differential equation (Q499832)
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scientific article; zbMATH DE number 6489984
| Language | Label | Description | Also known as |
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| English | A stability result for the solutions of a certain system of fourth-order delay differential equation |
scientific article; zbMATH DE number 6489984 |
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A stability result for the solutions of a certain system of fourth-order delay differential equation (English)
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6 October 2015
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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 \[ X^{(4)}+ F(\dot X,\ddot X)\dddot X+ \Phi(\ddot X)+ G(\dot X(t- r))+ H(X(t- r))= 0. \] By constructing a Lyapunov functional, we obtained the result of stability.
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