期刊文献+

二阶时滞微分方程边值问题的正解 被引量:7

Positive Solutions for Boundary Value Problems of Second-Order Delay Differential Equations
原文传递
导出
摘要 本文利用锥映射不动点指数定理研究了二阶时滞微分方程边值问题正解的存在性,其中τ>0.推广了Liu和Li关于常微分方程边值问题的工作. We use a fixed point index theorem in cones to study the existence of positive solutions for boundary value problem of the second-order delay differential equation of the form where T > 0. The result here is a generalization of what Liu and Li did for ordinary differential equations.
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2003年第4期739-746,共8页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金(10171010)
关键词 时滞微分方程 边值问题 正解 Delay differential equation Boundary value problem Positive solution
  • 相关文献

参考文献2

二级参考文献8

  • 1李正元 叶其孝.反应扩散方程引论[M].北京:科学出版社,1990..
  • 2Weng Peixuan,Appl Math J Chin Univ,1997年,12卷,155页
  • 3Liu Zhaoli,J Math Anal Appl,1996年,203卷,610页
  • 4Erbe L H,Boundary Value Problems for Functional Differential Equations,1995年,143页
  • 5Erbe L H,J Comput Appl Math,1994年,53卷,377页
  • 6Erbe L H,J Math Anal Appl,1994年,184卷,640页
  • 7Erbe L H,Proc Am Math Soc,1994年,120卷,743页
  • 8李正元,反应扩散方程引论,1990年

共引文献19

同被引文献37

  • 1Erbe L H, Kong Q K. Boundary value problems for singular seconed-order functional differential equations[J]. J Comput Appl Math, 1994(53): 377-388.
  • 2Eloe P Q. J Henderson, Singular nonlinear (n - k, k) conjugate boundary value problems[J]. J Diff Eqs, 1997(133): 136-151.
  • 3Xiaoning Lin, Daqing Jiang, Xiaoyue Li. Existence and uniqueness of solutions for singular (k, n-k) conjugate boundary value problems[M]. Comp Math Appl, 2006(52): 375-382.
  • 4Krasnoselskii M A. Positive Solutions of Operator Equations[M]. Noordhoff, Gronignen, 1964.
  • 5ERBE L E,HAIYAN WANG. On the existence of positive solutions of ordinary differential equations [J]. Proc Amer Math Soc, 1994,120 : 743-748.
  • 6LIU Z L,LI F Y. Multiple positive solutions of nonlinear two-point boundary value problems[J]. J Math Anal Appl,1996,203: 610-625.
  • 7DAQING JIANG,PEIXUAN WENG. Existence of positive solutions for boundary value problems of second-order functional differential equations[J]. EJQTDE, 1998,6:1-13.
  • 8Aftabizadeh,A. R, C. P. Gupta,Jian - Ming Xu. Exist-ence and uniqueness theorems for three - point boundaryvalue problems [ J] . SIAM J Math. Anal. , 1989,20(3): 716-726.
  • 9Granas A, Guenther R B,Lee J. W. Nonlinear boundaryvalue problems for some classes of ordinaiy differential e-quations. Rocky - Mountain J. Math. , 1980,10( 1) : 35-58.
  • 10Zengji Du, Xiaojie Lin, Weigao Gc. On a third ordermulti - point boundary value problem at renso - nance[J]. J. Math. Anal. Appi, 2005 , 302(1) : 217 -229.

引证文献7

二级引证文献3

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