期刊文献+

一类非线性三点边值问题正解的存在性 被引量:1

The Existence of Positive Solutions for a Class of Nonlinear Three-point Boundary Value Problems
下载PDF
导出
摘要 研究了一类非线性三点边值问题,通过利用锥拉伸与锥压缩型的Krasnosel′skii不动点定理获得了其正解的存在性. A class of nonlinear three-point boundary value problems is considered, and the existence of positive solutions is obtained by making use of the Krasnosel' skii fixed point theorem of cone expansion-compressions type.
出处 《曲阜师范大学学报(自然科学版)》 CAS 2005年第4期23-26,共4页 Journal of Qufu Normal University(Natural Science)
基金 国家自然科学基金(10371066) 山东省自然科学基金(Y2003A01) 山东省教育厅科技计划(J02P01)资助项目
关键词 三点边值问题 正解 不动点定理 three-point boundary value problems positive solutions fixed point theorem
  • 相关文献

参考文献9

  • 1Ma Ruyun. Positive solutions of nonlinear three-point boundary value problems [J]. J Math Anal Appl, 2003, 279( 1 ): 216 ~ 227.
  • 2Ma Ruyun. Positive solutions of a nonlinear three-point boundary value problem [J]. Electron J Diff Equations, 1999, 34(1): 1 ~ 8.
  • 3Feng W, Webb J R J. Solvability of a m-point boundary value problem with nonlinear growth [J]. J Math Anal Appl, 1997, 212(2):467 ~ 480.
  • 4姚庆六.一类二阶三点非线性边值问题的正解存在性与多解性[J].数学学报(中文版),2002,45(6):1057-1064. 被引量:52
  • 5姚庆六.非线性二阶三点边值问题正解的一个存在定理[J].系统科学与数学,2003,23(4):495-500. 被引量:19
  • 6Guo Dajun, Lakshmikantham V. Nonlinear problems in abstract cones [M]. Academic press, San Diego, 1988.
  • 7Krasnosel' skii M A. Positive solutions of operator equations [M]. Noordhoff, Groningen, The Netherlands, 1964.
  • 8Erbe L H, Hu S, Wang H. Multiple positive solutions of some boundary value problems [J]. J Math Anal Appl, 1994, 184(2):640~648.
  • 9徐夫义.非线性奇异二阶三点边值问题的正解[J].曲阜师范大学学报(自然科学版),2004,30(4):11-14. 被引量:2

二级参考文献15

共引文献58

同被引文献16

  • 1Yosida K. Functional Analysis[ M ]. Fourth ed Berlin: Springer-Verlag, 1978.
  • 2Guo D J, Sun J X, Liu Z L. Functional method nonlinear ordinary differential equations [ M ]. Jinan : Shandong Science and Technology Press, 1995.
  • 3Ma Ruyun, Wang Haiyan. On the existence of positive solutions of fourth-order ordinary differential equations[ J ]. Appl Anal, 1995, 59: 225-231.
  • 4Gregus M. Tird order linear differential equations [ M ]. Math Appl, Reidel, Dordrecht, 1987.
  • 5Cabada A. The method of lower and upper solutions for third-order periodic boundaru value problems [ J ]. J Math Anal Appl, 1995, 195: 568-589.
  • 6Cabada A. The method of lower and upper solutions for second, third, fourth, and higher order boundary valueproblemsn[ J]. J Math Anal Appl, 1994, 185: 302-320.
  • 7Omari P, Trombetta M. Remarks on the lower and upper solutions method for second-and third-order periodicboundary value problems[J]. Appl Math Comput, 1992, 50: 1-21.
  • 8Sun Y. Positive solutions of singular third-order three-point boundary value problem[ J]. J Math Appl,2005, 306: 589-603.
  • 9Guo Lijun,Sun Jianping, Zhao Yahong. Existence of positive solutions for nonlinear third-order three-point boundary value problems[J]. Nonlinear Analysis, 2008, 68(10): 3151-3158.
  • 10Anderson D. Greeng function for a third-order generalized right focal problem[ J ]. Math Anal Appl ,2003, 288: 1-14.

引证文献1

二级引证文献6

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