期刊文献+

四阶奇异非线性微分方程边值问题正解的存在性 被引量:1

Positive Solutions of Nonlinear Singular Fourth-order Differential Equations
下载PDF
导出
摘要 考察一类带有参数λ的四阶奇异非线性微分方程边值问题,利用锥压缩和锥拉伸Krasnoselskii's不动点定理获得其正解的存在性. In this paper, by using Krasnoselskii's fixed point theorem of cone expansion-compression type, the existence of positive solutions of boundary value problem for certain nonlinear singular fourth - order differential equation with parameter is discussed.
出处 《曲阜师范大学学报(自然科学版)》 CAS 2008年第4期19-26,共8页 Journal of Qufu Normal University(Natural Science)
基金 国家自然科学基金(10471075 10671167) 山东省自然科学基金(Y2004A06)
关键词 正解 非线性奇异边值问题 不动点定理 positive solution nonlinear singular boundary value problem fixed point theorem cone
  • 相关文献

参考文献14

  • 1Agarwal R P. Focal boundary value problems for differential and difference equations [ M ]. Kluwer Academic, Dordrecht, 1998. 被引量:1
  • 2Zill D G, Cullen M R. Differential equations with boundary-value problems [ M ]. 5th ed. Brooks/Cole, 2001. 被引量:1
  • 3张新光,姚宗江,王新华.非共振奇异Dirichlet边值问题的正解[J].曲阜师范大学学报(自然科学版),2004,30(1):7-12. 被引量:2
  • 4Jiang D Q, Liu H, Xu X. Nonresonant singular fourth-order boundary value problems [ J ]. Appl Math Lett, 2005, 18 : 69-75. 被引量:1
  • 5Zhaoli Liu, Fuyi Li. Multiple positive solutions of nonlinear two-point boundary value problem [ J ]. J Math Anal Appl, 2003, 1996: 610-625. 被引量:1
  • 6Ruyun Ma, Haiyan Wang. On the existence of positive solutions of fourth-order ordinary differential equations [J]. J Appl Anal, 1995, 59: 225-231. 被引量:1
  • 7Zhanbing Bai, Haiyan Wang. On positive solutions of some nonlinear fourth-order beam equations [ J]. J. Math. Anal. Appl. , 2002, 270: 357-368. 被引量:1
  • 8Khan A R, Webb J R L. Existence of at least three solutions of a second-order three-point boundary value problem [ J ]. Nonlinear Anal, 2006, 64: 1356-1366. 被引量:1
  • 9Xu X. Three solutions for three-point boundary value problem [ J ]. Nonlinear Anal, 2005, 62: 1053-1066. 被引量:1
  • 10Li S H. Positive solutions of nonlinear singular third-order two-point boundary value problem [ J ]. J Math Anal Appl, 2006, 323 : 413-425. 被引量:1

二级参考文献13

共引文献7

同被引文献3

引证文献1

二级引证文献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