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Boundedness and stability of solutions of some nonlinear differential equations of the third-order

Sufficient conditions are established for the uniform ultimate boundedness of solutions of a third-order nonlinear differential equation (1). When, p(t,x,x',x")=0, criteria under which all solutions x(t), its first and second derivatives tend to zero as t→∞, are given.

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Published: 2009
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LEADER 00000njm a2000000a 4500
001 oai:repository.ui.edu.ng:123456789/8085
042 |a dc 
720 |a Ademola, T. A.  |e author 
720 |a Arawomo, P. O.  |e author 
260 |c 2009 
520 |a Sufficient conditions are established for the uniform ultimate boundedness of solutions of a third-order nonlinear differential equation (1). When, p(t,x,x',x")=0, criteria under which all solutions x(t), its first and second derivatives tend to zero as t→∞, are given. 
024 8 |a 1551-7624 
024 8 |a ui_art_ademola_boundedness_2009 
024 8 |a The Pacific Journal of Science and Technology 10(2), pp. 187-193 
024 8 |a http://ir.library.ui.edu.ng/handle/123456789/8085 
653 |a Third-order 
653 |a Differential equations 
653 |a Stability 
653 |a Uniform-bounded 
653 |a Ultimate boundedness 
245 0 0 |a Boundedness and stability of solutions of some nonlinear differential equations of the third-order