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高阶中立型泛函微分方程的周期解

Periodic Solutions for a Kind of High-order Neutral Functional Differential Equation
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摘要 运用迭合度理论和分析的技巧,研究一类具分布时滞的中立型高阶泛函微分方程,并得到了其周期解存在的充分条件。 By using the theory of coincidence degree and some analytical skills, the periodic solution to a kind of lfigh - order neutral functional differential equation with distributed delay is studied. A sufficient condition on the existence of periodic solutions for this kind of neutral functional differential equation is obtained.
作者 文慧 刘心歌
出处 《数学理论与应用》 2009年第4期75-78,共4页 Mathematical Theory and Applications
基金 湖南省科技计划项目(№2008FJ3143) 湖南青年骨干教师项目 中南大学研究生扶持基金资助
关键词 周期解 中立型泛函微分方程 迭合度理论 Periodic solution Neutral fimctional differential equation Coincidence degree theory
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参考文献3

  • 1Ma S. W., Wang Z. C, Yu J. S, An abstract theorem at resonance and its applications[ J], J. Differential Equation 1998, 145(2) ,274 - 294.
  • 2Lu S. P, Ge W. G, Existence of periodic solutions for a kind of second order neutral functional differential equation[ J ]. Appl. Math, Comput. 2004, 157,433 - 448.
  • 3Gaines. R. E, Mawhin J. L, Coincidence degree and nonlinear differential equations[ M], Springer, Berlin, 1977,40 :41.

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