期刊文献+

一类二阶半线性时滞脉冲微分方程解的渐近性 被引量:1

Asymptotic Behavior of Solutions of Second-Order Half-Linear Delay Differential Equations with Impulses
原文传递
导出
摘要 应用微分不等式与Riccati变换,讨论了一类二阶半线性时滞脉冲微分方程的渐近性,得现一系列渐近性的充分条件,并给出阐明肪冲影响的例子. This paper is concerned with second-order half-linear delay differential equations with impulses. By impulsive differential inequality and Riccati transformation, sufficient condi- tions of asymptotic behavior of all solutions of second-order nonlinear delay differential equations with impulses are obtained. Some examples are also inserted to illustrate the impulsive effect.
出处 《生物数学学报》 2013年第2期285-291,共7页 Journal of Biomathematics
基金 滨州学院自然科学基金项目(No.BZXYL0905 No.BZXYL1102)
关键词 渐近性 时滞 半线性 微分方程 脉冲 Asymptotic behavior Delay Half-linear Differential equation Impulse
  • 相关文献

参考文献11

  • 1V, Bainov D D, Simeonov P. Theory of Impulsive Differential Equations[M]. Singapore World Scientific, 1989, 1-56.
  • 2Bainov D D, Dimitrova M B. Oscillatory properties of the solutions of impulsive differential equations with a deviating argument and nonconstant coefficients[J]. The Rocky Mountain Journal of Mathematics, 1997, 27(4):1027-1040.
  • 3Xiu-li Wu, Si-Yang Chen, Hong Ji. Oscillation of a class of second-order nonlinear ODE with impulses[J], Applied Mathematics and Computation, 2003, 138(2-3):181-188.
  • 4Harris B J. On the oscillation of solutions of linear differential equations[J]. Mathematica,1984, 31(2):214- 226.
  • 5Qigui Yang. Interval oscillation criterion for forced second order nonlinear ODE with oscillatory potential[J]. Applied Mathematics and Computation, 2003, 135(1):49-64.
  • 6Peng M S, Ge W G. Oscillation criteria for second order nonlinear differential equations with impulses[J]. Computers and Mathematics with Applications, 2000, 39(5-6):217-225.
  • 7Xiaojing Yang. Oscillation criteria for nonlinear differential equations with damping[J]. Applied Mathematics and Computation, 2003, 136(2-3):549-557.
  • 8Jianchu Jiang, Xiaoping Li. Oscillation of second order nonlinear neutral differential equations[J]. Applied Mathematics and Computation, 2003, 135(2-3):531-540.
  • 9Douglas R. Anderson. Interval criteria for oscillation of nonlinear second-order dynamic equations on time scales[J]. Nonlinear Analysis: Theory, Methods 8J Application, 2008, 69(12):4614-4623.
  • 10Qi-ru Wang, Wangtong Li. Oscillation and asymptotics for second order half linear differential equation[J]. Applied Mathematics and Computation, 2001, 112(2):253-266.

同被引文献12

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部