| 测度链上非线性m-点边值问题的正解 |
| |
| 引用本文： | 孙红蕊,李万同. 测度链上非线性m-点边值问题的正解[J]. 数学学报, 2006, 49(2): 369-380. DOI: cnki:ISSN:0583-1431.0.2006-02-017 |
| |
| 作者姓名： | 孙红蕊 李万同 |
| |
| 作者单位： | 兰州大学数学与统计学院，兰州大学数学与统计学院 兰州 730000，兰州 730000 |
| |
| 基金项目： | 国家自然科学基金资助项目（10571078）;教育部高等学校教学科研奖励计划 |
| |
| 摘 要： | 设T是一个测度链(时间标架)并且0,T∈T．讨论测度链上m-点边值问题其中a∈Cld((0,T),[0,∞)),f∈C((0,T)X[0,∞),[0,∞)),β,γ∈[0,∞),ξ∈(0,ρ(T)), ai∈[0,∞)(i=1,．．．,m-2)是一些满足适当条件的定常数．借助于锥上的不动点定理,得到了此问题存在单个及多个正解的一些新的更一般的结果．特别地,我们的结果推广并改进了一些已有的结论．
|
| 关 键 词： | 正解 锥 不动点 |
| 文章编号： | 0583-1431（2006）02-0369-12 |
| 收稿时间： | 2004-03-18 |
| 修稿时间： | 2004-03-182005-02-18 |
Positive Solutions for Nonlinear m-Point Boundary Value Problems on Time Scales |
| |
| Hong Rui SUN Wan Tong LI School of Mathematics and Ststistics,Lanzhou University,Lanzhou ,P. R. China. Positive Solutions for Nonlinear m-Point Boundary Value Problems on Time Scales[J]. Acta Mathematica Sinica, 2006, 49(2): 369-380. DOI: cnki:ISSN:0583-1431.0.2006-02-017 |
| |
| Authors: | Hong Rui SUN Wan Tong LI School of Mathematics Ststistics Lanzhou University Lanzhou P. R. China |
| |
| Affiliation: | Hong Rui SUN Wan Tong LI School of Mathematics and Ststistics, Lanzhou University, Lanzhou 730000, P. R. China |
| |
| Abstract: | Let T be a time scale such that 0,T ∈ T. Consider the following m-point boundary value problem on time scales (0, p(T)), ai∈[0, ∞) (for i = 1,..., m-2) are given constants satisfying some suitable hypotheses. By means of fixed point theorems in cones, some new and general results are obtained for the existence of single and multiple positive solutions of the above problem. In particular, our criteria generalize and improve some known results. |
| |
| Keywords: | positive solution cone fixed point |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
|
点击此处可从《数学学报》下载全文 |
|
