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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.
| Format: | Article |
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| Published: |
2009
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| LEADER | 00000njm a2000000a 4500 | ||
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| 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 |