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Stability results for the solutions of a certain third order nonlinear differential equation

The paper is concerned with the uniform asymptotic stability for all solutions of a third order nonlinear differential equation (1.1). Sufficient conditions under which all solutions x(t), its first and second derivatives tend to zero as t —∞ are given

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Published: 2008
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LEADER 00000njm a2000000a 4500
001 oai:repository.ui.edu.ng:123456789/8084
042 |a dc 
720 |a Ademola, T. A.  |e author 
720 |a Ogundiran, M. O.  |e author 
720 |a Arawomo, P. O.  |e author 
720 |a Adesina, O. A.  |e author 
260 |c 2008 
520 |a The paper is concerned with the uniform asymptotic stability for all solutions of a third order nonlinear differential equation (1.1). Sufficient conditions under which all solutions x(t), its first and second derivatives tend to zero as t —∞ are given 
024 8 |a 1537-5978 
024 8 |a ui_art_ademola_stability_2008 
024 8 |a Mathematical Sciences Research Journal 12(6), pp. 124-134 
024 8 |a http://ir.library.ui.edu.ng/handle/123456789/8084 
653 |a Differential equations of third order 
653 |a Lyapunov functions 
653 |a Uniform asymptotic stability 
245 0 0 |a Stability results for the solutions of a certain third order nonlinear differential equation