Kragujevac Journal of Mathematics
University of Kragujevac - Faculty of Science

[1]   A. U. Afuwape, Ultimate boundedness results for a certain system of third-order non-linear differential equations, J. Math. Anal. Appl. 97 (1983), 140–150. https://doi.org/10.1016/0022-247X(83)90243-3

[2]    A. U. Afuwape and M. O. Omeike, Further ultimate boundedness of solutions of some system of third order nonlinear ordinary differential equations, Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 43 (2004), 7–20.

[3]   T. A. Burton, Volterra Integral and Differential Equations, Academic Press, New York, 1983.

[4]   T. A. Burton, Stability and Periodic Solutions of Ordinary and Functional Differential Equations, Academic Press, New York, 1985.

[5]   J. O. C. Ezeilo, An elementary proof of a boundedness theorem for a certain third order differential equation, J. London Math. Soc. 38 (1963), 11–16. https://doi.org/10.1112/jlms/s1-38.1.11

[6]   J. O. C. Ezeilo and H. O. Tejumola, Boundedness and periodicity of solutions of a certain system of third-order non-linear differential equations, Ann. Mat. Pura Appl. 66 (1964), 283–316. https://doi.org/10.1007/BF02416460

[7]   J. O. C. Ezeilo, n-Ddimensional extensions of boundedness and stability theorems for some third order differential equations, J. Math. Anal. Appl. 18 (1967), 395–416. https://doi.org/10.1016/0022-247x(67)90035-2

[8]   J. O. C. Ezeilo, New properties of the equation + aẍ + bẋ + h(x) = p(t,x,ẋ,ẍ) for certain special value of the incrementary ratio y⁻¹h(x + y) − h(x), in: P. Janssens, J. Mawhin, and N. Rouche, (Eds.), Equations Differentielles et Functionelles Nonlině Aires, Hermann, Paris, 1973, 447–462.

[9]   J. O. C. Ezeilo and H. O. Tejumola, Further results for a system of third order ordinary differential equations, Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 58 (1975) 143–151.

[10]   F. W. Meng, Ultimate boundedness results for a certain system of third order nonlinear differential equations, J. Math. Anal. Appl. 177 (1993), 496–509. https://doi.org/10.1006/jmaa.1993.1273

[11]   M. O. Omeike, Stability and boundedness of nonlinear vector differential equations of third order, Arch. Math. 50 (2014), 101–106. http://dml.cz/bitstream/handle/10338.dmlcz/143783/ArchMathRetro_050-2014-2_4.pdf

[12]   M. O. Omeike, 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.

[13]   M. O. Omeike, Boundedness of third-order delay differential equations in which h is not necessarily differentiable, Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 54(2) (2015), 63–69.

[14]   R. Reissing, G. Sansone and R. Conti, Nonlinear Differential Equations of Higher Order, Noordhoff International Publishing, Leyden, The Netherlands, 1974.

[15]   A. Tiryaki, Boundedness and periodicity results for a certain system of third order nonlinear differential equations, Indian J. Pure Appl. Math. 30(4) (1999), 361–372.

[16]   C. Tunc, On the stability and boundedness of solutions of nonlinear vector differential equations of third-order, Nonlinear Anal. 70 (2009), 2232–2236. https://doi.org/10.1016/j.na.2008.03.002

[17]   C. Tunc, Stability and boundedness in delay system of differential equations of third order, Journal of the Association of Arab Universities for Basic and Applied Sciences 22 (2017), 76–82.https://doi.org/10.1016/j.jaubas.2016.01.004

[18]   Y. Zhu, On stability, boundedness and existence of periodic solution of a kind of third-order nonlinear delay differential system, Differential System. Annals of Differential Equations 8(2) (1992), 249–259.

[19]   T. Yoshizawa, Stability theory by Liapunov’s second method, Math. Soc. Japan (1966).