期刊文献+

一类二阶非线性迭代微分方程的周期解

Periodic Solutions to a Class of Second Order Nonlinear Differential-iterative Equations
下载PDF
导出
摘要 用更精确的先验估计及重合度理论研究一类二阶迭代微分方程x(¨t)+g(x(x(t)))=f(t,x(t),x.(t))周期解的存在性,得出了周期解存在的充分条件. By means of better prior estimate and the topologial degree, the existence of periodic solutions to a class of the second order functional differential-iterative equations x ( t ) + g ( x ( x ( t ) ) ) = f( t, x (t) , x (t) ) was studied, and sufficient conditions of the equation with periodic solutions were obtained.
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2006年第4期541-546,共6页 Journal of Jilin University:Science Edition
基金 国家科技部973项目基金(批准号:1999064911)
关键词 迭代泛函微分方程 周期解 拓扑度 functional differential-iterative equation periodic solution topologial degree
  • 相关文献

参考文献9

二级参考文献35

  • 1刘锡平.一类偏差变元依赖状态自身的泛函微分方程[J].北京理工大学学报,1996,16(6):576-580. 被引量:8
  • 2史少云 王国明 刘柏枫.A note on boundary value problems of fourth-order ordinary differential equations(关于四阶常微分方程奇摄动边值问题的一个注记) [J].Journal of Jilin University,. 被引量:1
  • 3Leela S., Monotone method for second order periodic boundary value problems, Nonlinear Anal., 1983, 7:349-355. 被引量:1
  • 4Nieto J. J., Nonlinear second-order peroidic boundary value problems, J. Math, Anal. Appl., 1988, 130:22-29. 被引量:1
  • 5Cabada A., Nieto J. J., A generation of the monotone iterative technique for nonlinear second-order periodicboundary value problems, J. Math. Anal. Appl., 1990, 151: 181-189. 被引量:1
  • 6Cabada A., The method of lower and upper solutions for second, third, forth, and higher order boundaryvalue problens, J. Math. Anal. Appl., 1994, 185: 302-320. 被引量:1
  • 7Gossez J. P., Pmari P., Periodic solutions of a second order ordinary differential equation: anecesary andsufficient condition for nonresonance, J. Diff. Equs., 1991, 94: 67-82. 被引量:1
  • 8Omari P., Villari G., Zandin F., Periodic solutions of lienard equation with one-sided growth restrictions, J.Diff. Equs., 1987, 67: 278-293. 被引量:1
  • 9Ge Weigao, On the existence of harmonic solutions of lienard system, Nonlinear Anal., 1991, 16(2): 183-190. 被引量:1
  • 10Mawhin J., Willem M., Multiple solutions of the periodic boundary value problem for some forced pendulumtype equations, J. Diff. Equs., 1984, 52: 264-287. 被引量:1

共引文献72

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