Oscillatory Behavior of a Class of Second-order Nonlinear Dynamic Equations on Time Scales

Автор: Da-Xue Chen, Guang-Hui Liu

Журнал: International Journal of Engineering and Manufacturing(IJEM) @ijem

Статья в выпуске: 6 vol.1, 2011 года.

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The paper is devoted to the oscillation of a class of second-order nonlinear dynamic equations on time scales. By developing a generalized Riccati transformation technique, we establish some oscillation criteria for all solutions of the equations. Our results improve and extend some known results in the literature.

Oscillation, second-order nonlinear dynamic equation, time scale

Короткий адрес: https://sciup.org/15014255

IDR: 15014255

Список литературы Oscillatory Behavior of a Class of Second-order Nonlinear Dynamic Equations on Time Scales

  • M. Bohner and A. Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Boston: Birkhäuser, 2001.
  • M. Bohner and A. Peterson, Advances in Dynamic Equations on Time Scales, Boston: Birkhäuser, 2003.
  • D.-X. Chen, "Oscillation and asymptotic behavior for th-order nonlinear neutral delay dynamic equations on time scales," Acta Appl. Math., vol. 109, no. 3, pp. 703-719, March 2010.
  • S.H. Saker, "Oscillation criteria of second-order half-linear dynamic equations on time scales," J. Comput. Appl. Math., vol. 177, no. 2, pp. 375-387, May 2005.
  • T.S. Hassan, "Oscillation criteria for half-linear dynamic equations on time scales," J. Math. Anal. Appl., vol. 345, no. 1, pp. 176-185, September 2008.
  • S.R. Grace, R.P. Agarwal, B. Kaymakçalan and W. Sae-Jie, "On the oscillation of certain second order nonlinear dynamic equations," Math. Comput. Modelling., vol. 50, no. 1-2, pp. 273-286, July 2009.
  • Q. Zhang, "Oscillation of second-order half-linear delay dynamic equations with damping on time scales," J. Comput. Appl. Math., vol. 235, no. 5, pp. 1180-1188, January 2011.
  • M. Huang, "Oscillation criteria for second order nonlinear dynamic equations with impulses," Comput. Math. Appl., vol. 59, no. 1, pp. 31-41, January 2010.
  • G.H. Hardy, J.E. Littlewood and G. Pólya, Inequalities (second ed.), Cambridge: Cambridge University Press, 1988.
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