期刊文献+

一类二阶时滞微分方程非局部共振问题解的存在性与唯一性

Existence and uniqueness of solutions for a three-point boundary value problem at resonance of differential equation with deviating argument
下载PDF
导出
摘要 利用Mawhin连续性定理研究了一类具有时滞的二阶微分方程三点共振边值问题,获得了该边值问题解的存在性和唯一性的一些新的结果。 The existence and uniqueness of solutions for a class of three-point boundary value problem at resonance of differential equation with delay was studied. Some new results on this boundary value problem were obtained by using Mawhin's continuation theorem.
出处 《陕西理工学院学报(自然科学版)》 2012年第3期45-49,共5页 Journal of Shananxi University of Technology:Natural Science Edition
基金 陕西工业职业技术学院科研项目(ZK10-18)
关键词 时滞 共振 三点边值问题 连续性定理 delay resonance three-point boundary value problem continuation theorem
  • 相关文献

参考文献11

  • 1Jiang Daqing. Multiple positive solutions for boundary value problems of second-order delay differential equations [ J ]. Applied Mathematics Letters ,2002,15 ( 5 ) :575-583.
  • 2Bai Dingyong, Xu Yuantong. Existence of positive solutions for boundary-value problems of second-order delay differ- ential equations [ J ]. Applied Mathematics Letters,2005,18 ( 6 ) :621-630.
  • 3Wang Youyu, Zhao Wenxia, Ge Weigao. Multiple positive solutions for boundary value problems of second order delay differential equations with one-dimensional p-Laplaeian [ J ]. Journal of Mathematical Analysis and Applications, 2007,326( 1 ) :641-654.
  • 4郑春华,刘文斌,倪晋波,张建军.具有时滞的Rayleigh方程周期解的存在性与唯一性[J].数学杂志,2010,30(1):82-90. 被引量:3
  • 5Ma Dexiang, Du Zengji, Ge Weigao. Existence and iteration of monotone positive solutions for multipoint boundary value problem with p-Laplacian operator [ J]. Journal of Computers &Mathematics and Applications,2005,50 (5) :729-739.
  • 6Pang Huihui, Feng Meiqiang, Ge Weigao. Existence and monotone iteration of positive solutions for a three-point boundary value problem[ J]. Applied Mathematics Letters,2008,21 (7) :656-661.
  • 7Wang Weibing, Shen Jianhua. Positive solutions to a multi-point boundary value problem with delay [ J ]. Applied Mathematics and Computation,2007,188 ( 1 ) :96-102.
  • 8Du Bo, Hu Xueping, Ge Weigao. Positive solutions to a type of multi-point boundary value problem with delay and one-dimensional p-Laplacian[ J]. Applied Mathematics and Computation 2009,208 (2) :501-510.
  • 9Guo Dajun, Lakshmikantham V. Nonlinear problems in abstract cones [ M ]. New York:Acad-emy Press, 1988.
  • 10Avery R I, Peterson A C. Three positive fixed points of nonlinear operators on ordered Banac-h space [ J ]. Computers Mathematics with Applications,2001,42 (3/4/5) : 313-322.

二级参考文献8

共引文献2

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