Keywords: Ultimate boundedness; Lyapunov function; differential equation of third order
@article{AUPO_2010_49_1_a5,
author = {Omeike, M. O. and Afuwape, A. U.},
title = {New result on the ultimate boundedness of solutions of certain third-order vector differential equations},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
pages = {55--61},
year = {2010},
volume = {49},
number = {1},
mrnumber = {2797523},
zbl = {1237.34045},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPO_2010_49_1_a5/}
}
TY - JOUR AU - Omeike, M. O. AU - Afuwape, A. U. TI - New result on the ultimate boundedness of solutions of certain third-order vector differential equations JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica PY - 2010 SP - 55 EP - 61 VL - 49 IS - 1 UR - http://geodesic.mathdoc.fr/item/AUPO_2010_49_1_a5/ LA - en ID - AUPO_2010_49_1_a5 ER -
%0 Journal Article %A Omeike, M. O. %A Afuwape, A. U. %T New result on the ultimate boundedness of solutions of certain third-order vector differential equations %J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica %D 2010 %P 55-61 %V 49 %N 1 %U http://geodesic.mathdoc.fr/item/AUPO_2010_49_1_a5/ %G en %F AUPO_2010_49_1_a5
Omeike, M. O.; Afuwape, A. U. New result on the ultimate boundedness of solutions of certain third-order vector differential equations. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 49 (2010) no. 1, pp. 55-61. http://geodesic.mathdoc.fr/item/AUPO_2010_49_1_a5/
[1] Afuwape, A. U.: Ultimate boundedness results for a certain system of third-order nonlinear differential equations. J. Math. Anal. Appl. 97 (1983), 140–150. | DOI | MR
[2] Afuwape, A. U.: Further ultimate boundedness results for a third-order nonlinear system of differential equations. Analisi Funzionale e Appl. 6 (1985), 99–100, N.I. 348–360. | MR
[3] 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. | MR
[4] Chukwu, E. N.: On the boundedness of solutions of third-order differential equations. Ann. Math. Pura Appl. 4 (1975), 123–149. | MR | Zbl
[5] Ezeilo, J. O. C.: n-dimensional extensions of boundedness and stability theorems for some third-order differential equations. J. Math. Anal. Appl. 18 (1967), 394–416. | DOI | MR | Zbl
[6] Ezeilo, J. O. C.: A generalization of a boundedness theorem for a certain third-order differential equation. Proc. Cambridge Philos. Soc. 63 (1967), 735–742. | MR
[7] Ezeilo, J. O. C.: On the convergence of solutions of certain system of second order equations. Ann. Math. Pura Appl. 72, 4 (1966), 239–252. | DOI | MR
[8] Ezeilo, J. O. C.: Stability results for the solutions of some third and fourth-order differential equations. Ann. Math. Pura Appl. 66, 4 (1964), 233–250. | DOI | MR | Zbl
[9] Ezeilo, J. O. C., Tejumola, H. O.: Boundedness and periodicity of solutions of a certain system of third-order nonlinear differential equations. Ann. Math. Pura Appl. 74 (1966), 283–316. | DOI | MR
[10] 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. | MR
[11] Liapunov, A. M.: Stability of Motion. Academic Press, London, 1966. | MR
[12] Meng, F. W.: Ultimate boundedness results for a certain system of third-order nonlinear differential equations. J. Math. Anal. Appl. 177 (1993), 496–509. | DOI | MR
[13] Rao, M. R. M.: Ordinary Differential Equations. Affiliated East-West Private Limited, London, 1980. | Zbl
[14] Reissig, R., Sansone, G., Conti, R.: Nonlinear Differential Equations of Higher Order. Noordhoff, Groningen, 1974.
[15] Tejumola, H. O.: A note on the boundedness and stability of solutions of certain third-order differential equations. Ann. Math. Pura Appl. 92, 4 (1972), 65–75. | DOI | MR
[16] Tejumola, H. O.: On the boundedness and periodicity of solutions of certain third-order nonlinear differential equation. Ann. Math. Pura Appl. 83, 4 (1969), 195–212. | DOI | MR
[17] 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. | MR | Zbl
[18] Tunc, C.: Boundedness of solutions of a certain third-order nonlinear differential equations. J. Inequal. Pure and Appl. Math. 6, 1 (2005), Art 3 1–6.
[19] Tunc, C.: On the stability and boundedness of solutions of nonlinear vector differential equations of third order. Nonlinear Analysis 70, 6 (2009), 2232–2236. | DOI | MR | Zbl
[20] Tunc, C., Ates, M.: Stability and boundedness results for solutions of certain third order nonlinear vector differential equations. Nonlinear Dynam. 45, 3-4 (2006), 273–281. | DOI | MR | Zbl