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Oscillations of a higher order nonlinear differential equations with impulses

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Języki publikacji
EN
Abstrakty
EN
Impulsive differential equations are important in simulation of processes with jump conditions. Although there are quite a few studies on the oscillation properties of low order equations, there are not too many studies of higher order equations. In this paper, we derive several oscillation criteria which are either new or improve several recent results in the literature. In addition, we provide several examples to illustrate the use of our results.
Wydawca
Rocznik
Strony
575--603
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
autor
autor
  • Department Of Computer Science Guangdong Polytechnic Normal University Guangzhou, Guangdong 510665, P. R. China, sscheng@math.nthu.edu.tw
Bibliografia
  • [1] V. Lakshmikantham, D. D. Bainov, P. S. Simeonov, Theory of Impulsive Differential Equations, World Scientific, Singapore, 1989.
  • [2] Y. S. Chen, W. Z. Feng, Oscillations of second order nonlinear ODE with impulses, J. Math. Anal. Appl. 210 (1997), 150–169.
  • [3] G. Q. Wang, Oscillations of second order differential equations with impulses, Ann. Differential Equations 14 (1998), 295–306.
  • [4] H. J. Li, C. C. Yeh, Oscillation and nonoscillation criteria for second order linear differential equations, Math. Nachr. 194 (1998), 171–184.
  • [5] M. S. Peng, W. G. Ge, Oscillation criteria for second-order nonlinear differential equations with impulses, Comput. Math. Appl. 39 (2000), 217–225.
  • [6] J. W. Luo, L. Debnath, Oscillation of second order nonlinear ODE with impulses, J. Math. Anal. Appl. 240 (1999), 105–114.
  • [7] Z. M. He, W. G. Ge, Oscillations of second-order nonlinear impulsive ordinary differential equations, Comput. Appl. Math. 158 (2003), 397–406.
  • [8] Z. G. Luo, J. H. Shen, Oscillations of second order linear differential equation with impulses, Math. Appl. Lett. 20 (2007), 75–81.
  • [9] X. X. Liu, Z. T. Xu, Oscillations of a forced super-linear second order differential equation with impulses, Comput. Math. Appl. 53 (2007), 1740–1749.
  • [10] L. J. Pan, G. Q. Wang, S. S. Cheng, Oscillations of even order nonlinear differential equations with impulses, Funkcial. Ekvac. 50 (2007), 117–131.
  • [11] C. L. Zhang, J. F. Yang, Oscillations of higher order ordinary differential equation with impulses, Ann. Differential Equations 21 (4) (2005), 616–628.
  • [12] L. J. Pan, Oscillations of higher order nonlinear impulsive differential equations with damping, Appl. Math. J. Chinese Univ. Ser. A (in Chinese) 22 (1) (2007), 35–42.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA4-0032-0020
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