Ultimate boundedness results for a certain system of third-order non-linear differential equations |
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Authors: | Anthony Uyi Afuwape |
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Institution: | Department of Mathematics, University of Ife, Ile-Ife Nigeria |
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Abstract: | We present in this paper ultimate boundedness results for a third-order system of non-linear differential equations of the form . where A, B are constant symmetric n × n matrices and X, H(X), P(t, X, X, X) are real n-vectors with H:Rn→Rn and P: RXRnXRnXRnXRn → XRncontinuous in their respective arguments. Our results give an n-dimensional analogue of an earlier result of Ezeilo in 1] and extend other earlier results for the case in which we do not necessarily require that H(X) be differentiable. |
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