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On the behaviour of solutions for a class of third order neutral delay differential equations
In this paper, a new class of third order nonlinear neutral delay differential equations is discussed. By reducing the third order nonlinear neutral delay differential equations to systems of first order, the second method of Lyapunov is engaged by constructing a complete Lyapunov functional and use...
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| Format: | Article |
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2019
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| LEADER | 00000njm a2000000a 4500 | ||
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| 001 | oai:repository.ui.edu.ng:123456789/8109 | ||
| 042 | |a dc | ||
| 720 | |a Ademola, T. A. |e author | ||
| 720 | |a Mahmoud, A. M. |e author | ||
| 720 | |a Arawomo, P. O. |e author | ||
| 260 | |c 2019 | ||
| 520 | |a In this paper, a new class of third order nonlinear neutral delay differential equations is discussed. By reducing the third order nonlinear neutral delay differential equations to systems of first order, the second method of Lyapunov is engaged by constructing a complete Lyapunov functional and used to establish criteria that guarantee uniform asymptotic stability of the trivial solution and uniform ultimate boundedness of solutions. The obtained results are not only new but also include many outstanding results in the literature. Finally, the correctness and effectiveness of the obtained results are justified with examples. | ||
| 024 | 8 | |a 1221-1265 | |
| 024 | 8 | |a ui_art_ademola_on_2019 | |
| 024 | 8 | |a Analele Universitatii din Oradea. Fascicola Matematica 26(2), 87-106 | |
| 024 | 8 | |a http://ir.library.ui.edu.ng/handle/123456789/8109 | |
| 653 | |a Nonlinear third order | ||
| 653 | |a Delay differential equation | ||
| 653 | |a Uniform stability | ||
| 653 | |a Uniform ultimate boundedness | ||
| 653 | |a Periodic solutions | ||
| 245 | 0 | 0 | |a On the behaviour of solutions for a class of third order neutral delay differential equations |