Stability and Boundedness of Solutions of a Certain System of Third-order Nonlinear Delay Differential Equations

Mathew Omonigho Omeike

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2015)

  • Volume: 54, Issue: 1, page 109-119
  • ISSN: 0231-9721

Abstract

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In this paper a number of known results on the stability and boundedness of solutions of some scalar third-order nonlinear delay differential equations are extended to some vector third-order nonlinear delay differential equations.

How to cite

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Omeike, Mathew Omonigho. "Stability and Boundedness of Solutions of a Certain System of Third-order Nonlinear Delay Differential Equations." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 54.1 (2015): 109-119. <http://eudml.org/doc/271663>.

@article{Omeike2015,
abstract = {In this paper a number of known results on the stability and boundedness of solutions of some scalar third-order nonlinear delay differential equations are extended to some vector third-order nonlinear delay differential equations.},
author = {Omeike, Mathew Omonigho},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Lyapunov functional; third-order vector delay differential equation; boundedness; stability; boundedness},
language = {eng},
number = {1},
pages = {109-119},
publisher = {Palacký University Olomouc},
title = {Stability and Boundedness of Solutions of a Certain System of Third-order Nonlinear Delay Differential Equations},
url = {http://eudml.org/doc/271663},
volume = {54},
year = {2015},
}

TY - JOUR
AU - Omeike, Mathew Omonigho
TI - Stability and Boundedness of Solutions of a Certain System of Third-order Nonlinear Delay Differential Equations
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2015
PB - Palacký University Olomouc
VL - 54
IS - 1
SP - 109
EP - 119
AB - In this paper a number of known results on the stability and boundedness of solutions of some scalar third-order nonlinear delay differential equations are extended to some vector third-order nonlinear delay differential equations.
LA - eng
KW - Lyapunov functional; third-order vector delay differential equation; boundedness; stability; boundedness
UR - http://eudml.org/doc/271663
ER -

References

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  2. Afuwape, A. U., Omeike, M. O., Further ultimate boundedness of solutions of some system of third-order nonlinear ordinary differential equations, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 43 (2004), 7–20. (2004) MR2124598
  3. Afuwape, A. U., Omeike, M. O., 10.1016/j.amc.2007.11.037, Applied Mathematics and Computation 200 (2000), 444–451. (2000) MR2421659DOI10.1016/j.amc.2007.11.037
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  9. Ezeilo, J. O. C., Tejumola, H. O., Further results for a system of third-order ordinary differential equations, Atti. Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 58 (1975), 143–151. (1975) MR0425261
  10. Hale, J. K., Theory of Functional Differential Equations, Springer Verlag, New York, 1977. (1977) Zbl0352.34001MR0508721
  11. Sadek, A. I., 10.1016/S0893-9659(03)00063-6, Applied Mathematics Letters 16 (2003), 657–662. (2003) Zbl1056.34078MR1986031DOI10.1016/S0893-9659(03)00063-6
  12. Sadek, A. I., 10.1016/S0096-3003(02)00925-6, Applied Mathematics and Computation 148 (2004), 587–597. (2004) Zbl1047.34089MR2015393DOI10.1016/S0096-3003(02)00925-6
  13. Tiryaki, A., Boundedness and periodicity results for a certain system of third-order nonlinear differential equations, Indian J. Pure Appl. Math. 30, 4 (1999), 361–372. (1999) Zbl0936.34041MR1695688
  14. Zhu, Y., On stability, boundedness and existence of periodic solution of a kind of third-order nonlinear delay differential system, Ann. of Diff. Eqs. 8, 2 (1992), 249–259. (1992) Zbl0758.34072MR1190138
  15. Yoshizawa, T., Stability Theory by Liapunov’s Second Method, The Mathematical Society of Japan, Tokyo, 1996. (1996) MR0208086

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