期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

高阶奇异半正微分方程组多点边值问题的正解

Positive Solution to m-point Boundary Value Problem of a Differential System with Higher Order Singular Semipositone
下载PDF
导出
摘要 应用范数形式的锥拉伸与锥压缩不动点定理得出了一类高阶超线性奇异半正方程组在点边值条件下正解的存在性结果。最后用实例验证了该结论的应用价值。 In the paper,the existence is verified for an m-point boundary value problem of the differential system with higher order singular semipositone by means of fixed point theorem concerning cone compression and expansion in norm type.Finally,the conclusions are verified to be applicable with an example.
作者 王峰 吕广迎
机构地区 盐城机电高等职业技术学院 东南大学数学系
出处 《西华大学学报（自然科学版）》 CAS 2011年第3期60-65,共6页 Journal of Xihua University:Natural Science Edition
基金 国家自然科学基金(10771032)
关键词 超线性奇异半正方程组 正解 不动点定理 锥 differential system with super-linear singular semipositone positive solution fixed point theorem cone
分类号 O175.14 [理学—基础数学] O175.8 [理学—基础数学]
  • 相关文献

参考文献20

  • 1Aris R.Introduction to the Analysis of Chemical Reactors[M].Prentice-Hall:Englewood Cliffs,NJ,1965.
  • 2Selgrade J.Using Stocking and Harvesting to Reverse Period -doubling Bifurcations in Models in Population Biology[J].J.Differ.Equ.Appl,1998,4:163-183.
  • 3Dai G,Tang M.Coexistence Region and Global Dynamics of Harvested Predator-prey System[J].SIAM J.Appl.Math,1998,58 (1):193-210.
  • 4Brauer F,Soudack A C.Stability Regions in Predator-prey Systems with Constant-rate Prey Harvesting[J].J.Math.Biol,1979,8:55-71.
  • 5Myerscough M R,Gray B F,Hogaarth W L,et al.An Analysis of an Ordinary Differential Equations Model for a Two Species Predator-prey Systems with Harvesting and Stocking[J].J.Math.Biol,1992,30:389-411.
  • 6Castro A,Maya C,Shivaji R.Nonlinear Eigenvalue Problems with Semipositone[J].Electron.J.Differ.Equ.Conf,2000(05):33 -49.
  • 7Anuradha V,Hai D,Shivaji R.Existence Results for Superlinear Semipositone BVP's[J].Pro Amer Math Soc,1996,124:747 -763.
  • 8Agarwal R P,O' Regan D.A Note on Existence of Nonnegative Solutions to Singular Semipositone Problems[J].Nonlinear Anal,1999,36:615-622.
  • 9Xu X.Positive Solutions for Singular Semipositone Boundary Value Problems[J].J Math Anal Appl,2002,273:480 -491.
  • 10Zhang X G,Liu L S.Positive Solutions of Superlinear Semipositone Singular Dirichlet Boundary Value Problems[J].J Math Anal Appl,2006,316:525-537.

二级参考文献13

  • 1Guo-weiZhang,Jing-xianSun.Existence of Positive Solutions for Singular Second-order m-Point Boundary Value Problems[J].Acta Mathematicae Applicatae Sinica,2004,20(4):655-664. 被引量：23
  • 2Jiang D Q，Kyushu J Math，1999年，53卷，1期，115--l25页
  • 3Agarwal R P, O'Regan D. Positive solutions for (p, n-p) conjugate boundary value problems. J Differential Equations, 1998, 150:462-473
  • 4Eloe P W, Henderson J. Positive solutions for (n - 1, 1) conjugate boundary value problems. Nonlinear Anal, 1997, 30:3227-3238
  • 5Eloe P W, Henderson J. Singular nonlinear (k, n - k) conjugate boundary value problems. J Differential Equations, 1997, 133:136-151
  • 6Erbe L H. Eigenvalue criteria for existence of positive solutions to nonlinear boundary value problems.Math Comput Modelling, 2000, 32: 529- 539
  • 7Guo Dajun, Lakshmikantham V. Nonlinear Problems in Abstract Cones. San Diego: Academic Press,1988
  • 8Kong Lingbin, Wang Junyu. The Green's function for (k, n - k) conjugate boundary value problems and its applications. J Math Anal Appl, 2001, 255:404 -422
  • 9Liu Zhaoli, Li Fuyi. Multiple positive solutions of nonlinear two-point boundary value problems. J Math Anal Appl, 1996, 203: 610-625
  • 10Wong P, Agarwal R. Singular differential equations with (n, p) boundary conditions. Math Comput Modelling, 1998, 28:37-44

共引文献23

西华大学学报（自然科学版）
2011年 第3期

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