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

一类四阶两点边值问题正解的存在唯一性

Existence and Uniqueness of Positive Solution for A Class of Fourth-order Two-point Boundary Value Problem
下载PDF
导出
摘要 利用带有扰动的新混合单调算子不动点定理,研究了一类四阶微分方程两点边值问题正解的存在唯一性.所得结论不仅确保正解的存在唯一性,而且可以构造一迭代序列去逼近此解. Based on new fixed point theorem for mixed monotone operator with perturbation,existence and uniqueness of positive solution for a class of fourth-order two-point boundary value problem is studied. Our conclusion can not only guarantee existence and uniqueness of positive solution,but also can be applied to construct an iterative scheme for approximating it.
作者 古传运
机构地区 四川文理学院数学与财经学院
出处 《西华师范大学学报（自然科学版）》 2014年第3期232-236,共5页 Journal of China West Normal University(Natural Sciences)
基金 四川省教育厅资助科研项目(14ZB0309)
关键词 边值问题 正解 存在唯一性 混合单调算子 不动点定理 boundary value problem positive solution existence and uniqueness mixed monotone operator fixed point theorem
分类号 O175.12 [理学—基础数学]
  • 相关文献

参考文献9

  • 1DELPINO M A, MANASCVICH R F. Existence for a fourth-order boundary value problem under a two-parameter nonresonance condition[J]. Proc. Am. Math. $oe. 1991, 112:81-86.
  • 2LI Y. Two-parameter nonresonance condition for the existence of fourth-order boundary value problems [ J ]. J. Math. Anal. Ap- pl. 2005, 308:121 - 128.
  • 3BAI Z. The upper and lower.solution method for some fourth-order boundary value problems[ J]. Nonlinear Anal. 2007,67:1704 - 1709.
  • 4GRAEF J R , YANG B. Positive solutions of a nonlinear fourth order boundary value problem[J]. Commun. Appl. Non1. A- nal. 2007, 14(1) :61 -73.
  • 5ZHANG X P. Existence and iteration of monotone positive solutions for an elastic beam with a corner[ J ]. Nonl. Anal. RWA 2009, 10:2097 - 2103.
  • 6ALVES E, MAT F, PELICER M L. Monotone positive solutions for a fourth order equation with nonlinear boundary conditions [ J ]. Nonlinear Anal. 2009,71:3834 - 384.
  • 7LI S, ZHANG X. Existence and uniqueness of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions[J]. Comput. Math. Appl. 2012, 63:1355-1360.
  • 8JLELI M, SAMET B. Existence and uniqueness of positive solutions to a fourth-order two-point boundary-value problem[ J]. E- lectronic Journal of Differential Equations. Vol. 2013, 2013(173) :1 - 10.
  • 9ZHAI C B, HAO M R. Fixed point theorems for mixed monotone operators with perturbation and applications to fractional differ- ential equation boundary value problems [ J]. Nonlinear Anal 2012, 75 : 2542 - 2551.
西华师范大学学报（自然科学版）
2014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