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一类三阶具多偏差变元微分方程的周期解 被引量：3

The Existence of Periodic Solution to a Class of Third-order Differential Equation with Deviating Argument
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摘要 研究了一类三阶具偏差变元的泛函微分方程:x'''(t)+f(x'(t))+h(x(t))x'(t)+Σni=1gi(t,x(t-τi(t)))=p(t).的周期解的存在性,得到了若干结论. The existence of periodic solution to a class of third-order functional differential equation with deviating argument xm(t)+f(x'(t))+h(x(t))x'(t)+∑i=1ngi(t,x(t-τi(t)))=p(t) was studied and several conclusions were obtained.
作者 施吕蓉 周宗福 高伟
机构地区 芜湖职业技术学院 安徽大学数学科学学院
出处 《重庆工商大学学报（自然科学版）》 2013年第1期6-9,15,共5页 Journal of Chongqing Technology and Business University:Natural Science Edition
基金 安徽省高校自然科学研究项目(KJ2012Z430)
关键词 泛函微分方程 偏差变元 周期解 functional differential equation deviating argument periodic solution
分类号 O175.1 [理学—基础数学] G424 [文化科学—课程与教学论]
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参考文献4

  • 1KIGURADZE I T,PUZA B. On periodic solutions of system of differential equations with deviating arguments[J].Nonlinear Analysis-Theory Methods and Applications,2000.229-242.
  • 2MARTINS R F. The existence of periodic solutions for second order differential equation with singularities and the strong force condition[J].Journal of Mathematical Analysis and Applications,2006.1-13.
  • 3汪娜,鲁世平.一类三阶具偏差变元微分方程的周期解[J].安徽师范大学学报（自然科学版）,2006,29(1):17-22. 被引量：8
  • 4GAINES R E,MAWHIN J K. Coincidence Degree and Nonlinear Differential Equation[A].Beilin:Springer-Verlag,1977.

二级参考文献12

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共引文献7

同被引文献20

引证文献3

二级引证文献1

重庆工商大学学报（自然科学版）
2013年 第1期

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