New result on the ultimate boundedness of solutions of certain third-order vector differential equations
Mathew Omonigho Omeike; A. U. Afuwape
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2010)
- Volume: 49, Issue: 1, page 55-61
- ISSN: 0231-9721
Access Full Article
topAbstract
topHow to cite
topOmeike, Mathew Omonigho, and 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 49.1 (2010): 55-61. <http://eudml.org/doc/116477>.
@article{Omeike2010,
abstract = {Sufficient conditions are established for ultimate boundedness of solutions of certain nonlinear vector differential equations of third-order. Our result improves on Tunc’s [C. Tunc, On the stability and boundedness of solutions of nonlinear vector differential equations of third order].},
author = {Omeike, Mathew Omonigho, Afuwape, A. U.},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Ultimate boundedness; Lyapunov function; differential equation of third order; ultimate boundedness; third-order; vector differential equation},
language = {eng},
number = {1},
pages = {55-61},
publisher = {Palacký University Olomouc},
title = {New result on the ultimate boundedness of solutions of certain third-order vector differential equations},
url = {http://eudml.org/doc/116477},
volume = {49},
year = {2010},
}
TY - JOUR
AU - Omeike, Mathew Omonigho
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
PB - Palacký University Olomouc
VL - 49
IS - 1
SP - 55
EP - 61
AB - Sufficient conditions are established for ultimate boundedness of solutions of certain nonlinear vector differential equations of third-order. Our result improves on Tunc’s [C. Tunc, On the stability and boundedness of solutions of nonlinear vector differential equations of third order].
LA - eng
KW - Ultimate boundedness; Lyapunov function; differential equation of third order; ultimate boundedness; third-order; vector differential equation
UR - http://eudml.org/doc/116477
ER -
References
top- Afuwape, A. U., 10.1016/0022-247X(83)90243-3, J. Math. Anal. Appl. 97 (1983), 140–150. (1983) MR0721235DOI10.1016/0022-247X(83)90243-3
- 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. (1985) MR0805225
- 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
- Chukwu, E. N., On the boundedness of solutions of third-order differential equations, Ann. Math. Pura Appl. 4 (1975), 123–149. (1975) Zbl0319.34027MR0377180
- Ezeilo, J. O. C., 10.1016/0022-247X(67)90035-2, J. Math. Anal. Appl. 18 (1967), 394–416. (1967) Zbl0173.10302MR0212298DOI10.1016/0022-247X(67)90035-2
- 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. (1967) MR0213657
- Ezeilo, J. O. C., 10.1007/BF02414336, Ann. Math. Pura Appl. 72, 4 (1966), 239–252. (1966) MR0203144DOI10.1007/BF02414336
- Ezeilo, J. O. C., 10.1007/BF02412444, Ann. Math. Pura Appl. 66, 4 (1964), 233–250. (1964) Zbl0126.30403MR0173831DOI10.1007/BF02412444
- Ezeilo, J. O. C., Tejumola, H. O., 10.1007/BF02416460, Ann. Math. Pura Appl. 74 (1966), 283–316. (1966) MR0204787DOI10.1007/BF02416460
- 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
- Liapunov, A. M., Stability of Motion, Academic Press, London, 1966. (1966) MR0208093
- Meng, F. W., 10.1006/jmaa.1993.1273, J. Math. Anal. Appl. 177 (1993), 496–509. (1993) MR1231497DOI10.1006/jmaa.1993.1273
- Rao, M. R. M., Ordinary Differential Equations, Affiliated East-West Private Limited, London, 1980. (1980) Zbl0482.34001
- Reissig, R., Sansone, G., Conti, R., Nonlinear Differential Equations of Higher Order, Noordhoff, Groningen, 1974. (1974)
- Tejumola, H. O., 10.1007/BF02417936, Ann. Math. Pura Appl. 92, 4 (1972), 65–75. (1972) MR0318615DOI10.1007/BF02417936
- Tejumola, H. O., 10.1007/BF02411167, Ann. Math. Pura Appl. 83, 4 (1969), 195–212. (1969) MR0262597DOI10.1007/BF02411167
- 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
- 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. (2005)
- Tunc, C., 10.1016/j.na.2008.03.002, Nonlinear Analysis 70, 6 (2009), 2232–2236. (2009) Zbl1162.34043MR2498299DOI10.1016/j.na.2008.03.002
- Tunc, C., Ates, M., 10.1007/s11071-006-1437-3, Nonlinear Dynam. 45, 3-4 (2006), 273–281. (2006) Zbl1132.34328MR2250136DOI10.1007/s11071-006-1437-3
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.