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一类二阶非线性中立型微分方程周期解的存在性 被引量：3

EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF SECOND ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS
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摘要 利用k-集压缩算子的抽象连续性定理,讨论了一类二阶非线性中立型微分方程周期解的存在性,得到周期解存在的充分条件. By using theabstract continuation theorem of k-set contractive operator, the periodic solutions for a second order nonlinear neutral differential equations are investigated. Some sufficient conditions are obtained.
作者 宋利梅
机构地区 嘉应学院数学学院
出处 《华南师范大学学报（自然科学版）》 CAS 北大核心 2010年第2期27-31,共5页 Journal of South China Normal University(Natural Science Edition)
关键词 中立型微分方程 周期解 K-集压缩算子 neutral differential equations periodic solutions k-set contractive operator
分类号 O175.14 [理学—基础数学]
  • 相关文献

参考文献7

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共引文献44

同被引文献15

  • 1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
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  • 3BAI Dingyong, XU Yuantong. Existence of positive solutions for boundary - value problems of second - order delay differential equations [ J ]. Appl Math Lett, 2005,18 (6) : 621 -630.
  • 4WANG Youyu, ZHAO Wenxia, GE Weigao. Multiple positive solutions for boundary value problems of second order delay differential equations with one- dimensional p - Laplacian[ J]. J Math Anal Appl, 2007,326( 1 ) : 641 - 654.
  • 5SHU Xiaobao, XU Yuantong. Triple positive solutions for a class of boundary value problems of second - order functional differential equations [ J ]. Nonlinear Anal, 2005, 61 (8) :1401 - 1411.
  • 6MA Dexiang, DU Zengji, GE Weigao. Existence and iteration of monotone positive solutions for muhipoint boundary value problem with p -Laplacian operator[ J ]. Comput Math Appl, 2005,50(5) :729 -739.
  • 7SUN Bo, GE Weigao. Existence and iteration of positive solutions to a class of Stunn - Liouville - like p - Laplacian boundary value problems[ J]. Nonlinear Anal -THE- OR, 2008,69(4) : 1454 - 1461.
  • 8PANG Huihui, FENG Meiqiang, GE Weigao. Existence and monotone iteration of positive solutions for a three - point boundary value problem[J]. Appl Math Lett, 2008, 21 (7) :656 - 661.
  • 9WANG Weibing, SHEN Jianhua. Positive solutions to a multipoint boundary value problem with delay[J]. Appl Math Comput, 2007,188 ( 1 ) :96 - 102.
  • 10DU Bo, HU Xueping, GE Weigao. Positive solutions to a type of multi - point boundary value problem with delay and one - dimensional p - Laplacian [ J ]. Appl Math Comput, 2009,208 (2) : 501 - 510.

引证文献3

华南师范大学学报（自然科学版）
2010年 第2期

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