期刊文献+

无穷时滞二阶中立型微分方程周期解的存在性

Existence of Periodic Solutions for Second Order Neutral Functional Differential Equation with Infinite Delay
下载PDF
导出
摘要 利用重合度理论研究了一类具有无穷时滞二阶中立型泛函微分方程,建立其周期解存在的一些新的充分条件.这些结果改进和推广了近期文献中的已有结论. By application of coincidence degree theory, a class of second order neutral functional differential equation with infinite delay is studied, and some new sufficient conditions for the existence of the periodic solutions are established. These results improve and extend some known results in recent literature.
作者 陈仕洲
出处 《韩山师范学院学报》 2017年第6期8-12,共5页 Journal of Hanshan Normal University
基金 广东省高等教育教学改革项目(项目编号:GDJG20142396) 广东省高等学校教学团队建设项目(项目编号:粤教高函[2015]133号)
关键词 无穷时滞 二阶 中立型泛函微分方程 周期解 重合度理论 infinite delay second order neutral functional differential equation periodic solution coincidence degree
  • 相关文献

参考文献6

二级参考文献24

  • 1王克 黄启昌.Ch空间与具有无限时滞的泛函微分方程的有界性及周期解[J].中国科学,1987,17:242-252.
  • 2Gaines, R.E., Mawhin, J.L. Lectures Notes in Mathematics, Vol.568. Springer-verlag, Berlin, 1977.
  • 3Gopalsamy K., He, X., Wen, L. On a periodic neutral logistic equation. Glasgow Math. J., 33:281-286(1991).
  • 4Gopalsamy, K., Zhang, B.G. On a neutral delay logistic equation. Dynamics Stability Systems, 2:183-195(1988).
  • 5Fanmg, Hhi, Li, Jibin. On the existence of periodic solutions of a neutral delay model of single-species population growth. J.Math. Anal. Appl., 259:8-17 (2001).
  • 6Kuang,Y.Delay Differential Equations with Applications in Population Dynamics.Academic Press,New York,1993
  • 7Kuang,Y.,Feldstein,A.Boundedness of solutions of a nonlinear nonautonomous neutral delay equation.J.Math.Anal.Appl.,156:293-304(1991)
  • 8Y.K.L.Periondic solutions of a periodic neutral delay model.J.Math.Anal.Appl.,214:11-21(1997)
  • 9Liu,Z.D.,Mao,Y.P.Existence theorem for periodic solutions of higher order nonlinear differential equations.J.Math.Anal.Appl.,216:481-490(1997)
  • 10Petryshynand,W.V.,Yu,Z.S.Existence theorem for periodic solutions of higher order nonlinear periodic boundary value problems.Nonlinear Anal.,6(9):943-969(1982),

共引文献106

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