期刊文献+

一类二阶常微分方程组边值问题正解的存在性 被引量:1

下载PDF
导出
摘要 本文利用锥上的不动点定理研究了下列奇异非线性二阶三点边值方程组{-u"=f(t,v),t∈(0,1)-v"=g(t,u),t∈(0,1)u'(0)=v'(0)=0,u(1)=αu'(η),v(1)=αv'(η)其中η∈(0,1),α<0在某些较弱条件下正解的存在性.
作者 王彩华
机构地区 武警学院基础部
出处 《赤峰学院学报(自然科学版)》 2010年第3期14-16,共3页 Journal of Chifeng University(Natural Science Edition)
  • 相关文献

参考文献10

  • 1C.P.Gupta,Solvability of a three-point nonlinear boundary value problem for a second order differential equations[J] .Math.Anal.Appl. 168 (1988)540-551.
  • 2R..Ma,positive solutions of a nonlinear three-point boundary value problem [J] ,Electron.J.differential Equations 34(1999)1-8.
  • 3T.Timoshenko,Theory of Elastic Theory [M] ,McGraw- Hill,New York,1971.
  • 4J.R.L.Webb,Positive solutions of some three-point boundary value problems via fixed point index theory [J].Nonlinear Anal.47(2001)4319-4332.
  • 5R.Dalmasso,Existence and uniqueness of positive solutions of semilinear elliptic systems [J], Nonlinear Anal.57 (2004)341-348.
  • 6R.Ma,Muitiple nonnegative solutions of second -order systems of boundary value problems[J],Nonlinear Anal,42 (2000) 1003 - 1010.
  • 7Bingmei Liu,Positive solutions for singular systems of three-point boundary value problems[J], Computers and Mathematics with Applications 53(2007)1429-1438.
  • 8D.Guo,V.Lakshmikanham, Nonlinear problems in Abstract Cone[M],Academic Press,New York,1988.
  • 9C.P.Gupta,A sharper conditions for the solvability of a three-point second order boundary value problem [J]. Math.Anal.Appl.205(1997)586-597.
  • 10李淑红,张马彪.一类二阶三点边值问题正解的存在性[J].丽水学院学报,2004,26(5):1-5. 被引量:7

二级参考文献11

  • 1[1]Il'in V A, Moiseev EI. Nonlocal boundary value problem of the sevond kind for a Sturm-Liouvill operator in its differential and finite difference aspects[J] Differential Equations, 1987,23(7):803~810
  • 2[2]Il'in V A, Moiseev E I. Nonlocal boundary value problem of the second kind for a Sturm-Liouvill operator[J]. Differential Equations, 1987,23(8):979~987
  • 3[3]Gupta C P.Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equations [J].J Math Anal Appl, 1992,168:540~551
  • 4[4]Ma R. Positive solutions of a nonlinera three-point boundary value problems[J]. Electron J Differential Equations, 1999,34:1~8
  • 5[6]Infante G. Eigenvalues of some non-local boundary value problems[J]. Proc Eidinburgh Math Soc,2003,46:75~86
  • 6[7]Guo D, Lakshmikantham V. Nonlinear Problems in Abstract Cones[M].Orlando:Academic Press, 1988.94~95
  • 7[8]郭大钩.非线性泛函分析[M].济南:山东科技出版社,1985.310~311
  • 8[9]Ma R.Existence theorems for a second order three-point boundary value problem[J].J Math Anal Appl, 1997,212:430~442
  • 9[10]Gupta C P, Trofimchuk SI. A sharper condition for the solvability of a three-point second order boundary value problem[J]. J Math Anal Appl, 1997,205:586~597
  • 10[11]Gupta C P. Solvability of an m-point nonlinear boundary value problem for second order ordinary differential equations[J]. J Math Anal Appl, 1995,189:575~584

共引文献6

同被引文献4

引证文献1

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