期刊文献+

一类二阶泛函微分方程周期解的存在性

Existence of Periodic Solutions for a Kind of Second Order Functional Differential Equations
下载PDF
导出
摘要 利用k-集压缩算子的抽象连续性定理,研究了一类二阶非线性微分方程周期解的存在性,所得结果改进了已有文献的结果. By using the abstract continuation theorem of k - set contractive operator, the existence of solutions for a kind of second order functional differential equations is studied. Some results improve the known results in literatures.
出处 《新乡学院学报》 2012年第2期107-109,共3页 Journal of Xinxiang University
基金 河南省教育厅自然科学基金项目(2011B110030) 郑州航空工业管理学院青年基金项目(2011113002)
关键词 K-集压缩算子 周期解 泛函微分方程 k - set contractive operator periodic solution functional differential equation
  • 相关文献

参考文献4

二级参考文献25

  • 1刘锡平,贾梅.一类二阶迭代微分方程的周期解[J].应用数学学报,2004,27(3):481-488. 被引量:11
  • 2朱艳玲,鲁世平.一类二阶中立型泛函微分方程周期解的存在性(英文)[J].安徽师范大学学报(自然科学版),2006,29(1):12-16. 被引量:6
  • 3Petryshyn W V, Yu Z S. Existence theorems for higher order nonlinear periodic boundary value problems[J]. Nonlinear Anal, 1982,9 : 943-969.
  • 4Gains R E, Mawhin J L. Coincidence Degree and Nonlinear Differential Equation[M]. Lecture notes in Math No. 568, Berlin : Springer-Verlag, 1977.
  • 5Zhongdong Liu, Yiping Mao. Existence theorem for periodic solutions of higher order nonlinear differential equations[J]. J Math Anal Appl,1997,216:481-490.
  • 6Wang Ke. On the equation x' =f(x(x(t)))[J]. Funkcial Ekvac,1990,33(3):405-425.
  • 7GAINES R E,MAWHIN J L.Coincidence degree and nonlinear differential equation[M].Lecture Notes in Math No.568,New York:Springer-Verlag,1977.
  • 8PETRYSHYN W V,YU Z S.Existence theorems for higher order nonlinear periodic boundary value problems[J].Nonlinear Anal,1982,6(9):943-969.
  • 9LIU Zhongdong,MAO Yiping.Existence theorem for periodic solutions of higher order nonlinear differential equations[J].J Math Anal Appl,1997,216:481-490.
  • 10LI Jingwen,WANG Genqiang.Sharp inequalities for periodic functions[J].Applied Mathematics E-Notes,2005,5:75-83.

共引文献6

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