依赖于一阶导数的(n-1,1)共轭m点边值问题正解的存在性

纪玉德; 郭彦平; 禹长龙

依赖于一阶导数的(n-1,1)共轭m点边值问题正解的存在性

河北科技大学理学院,石家庄 050018

基金项目: 河北省自然科学基金资助项目(A2006000298)

详细信息

作者简介:
纪玉德(1979- ),男,内蒙古赤峰人,讲师,硕士(联系人.E-mail:jiyude-1980@163.com).

中图分类号: O175.8
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- 被引次数: 0
出版历程
- 收稿日期: 2008-04-10
- 修回日期: 2009-02-14
- 刊出日期: 2009-04-15

Positive Solutions for(n-1,1) m-Point Boundary Value Problems With Dependence on the First Order Derivative

College of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, P. R. China

摘要

摘要: 利用锥上的Krasnoselskii's不动点定理的推广定理,讨论了一类边值问题，给出了相应依赖于一阶导数的非线性n阶m点边值问题至少一个正解的存在性．对于n阶m点边值问题，给出了相应的Green函数,证明了在非线性项f满足一定的增长条件下至少存在1个正解．并且给出了一个例子来说明所获得的结果．
- Green函数 /
- 锥上的不动点定理 /
- 正解 /
- 高阶微分方程
Abstract: Using the extension of Krasnoselskii's fixed point theorem in a cone,the existence of at least one positive solution to the nonlinear n th order m-point boundary value problem with dependence on the first order derivative was proved.The associated Green's function for the n th order mpoint boundary value problem was given,and growth conditions were imposed on nonlinear term f which ensure existence of at least one positive solutions.A simple example was presented to illustrate applications of the obtained results.
- Green’s function /
- fixed point theorem in a cone /
- positive solution /
- highe-rorder differential equation

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参考文献(11)

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