| 奇异半正微分系统边值问题正解的存在性 |
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| 引用本文： | 黄明明. 奇异半正微分系统边值问题正解的存在性[J]. 科学技术与工程, 2011, 11(19): 4550-4552 |
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| 作者姓名： | 黄明明 |
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| 作者单位： | 山东师范大学数学科学学院,济南,250014 |
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| 基金项目： | 山东省高等学校科技计划项目(J09LA08)资助 |
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| 摘 要： | 利用不动点定理,考虑了二阶两点奇异半正微分系统边值问题的多个正解的存在性。该微分系统的非线性项f1(t,u,v),f2(t,u,v)可能在t=0,t=1,u=0,v=0奇异并且可能在某些t,u,v处为负。
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| 关 键 词： | 微分系统 正解 锥 不动点定理 |
| 收稿时间： | 2011-03-26 |
| 修稿时间： | 2011-03-26 |
Existence of Positive Solutions for Singular Semipositone Differential Systems with Two-point Boundary Value Problem |
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| huangmingming. Existence of Positive Solutions for Singular Semipositone Differential Systems with Two-point Boundary Value Problem[J]. Science Technology and Engineering, 2011, 11(19): 4550-4552 |
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| Authors: | huangmingming |
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| Affiliation: | HUANG Ming-ming,LIU Qi,LU Hui-qin(Department of Mathematics,Shandong Normal University,Jinan 250014,P.R.China) |
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| Abstract: | By using the fixed point theorem,multiple positive solutions for second-order two-point singular semipositone differential systems with boundary value problems are investingaled.The nonlinearf1(t,u,v),f2(t,u,v)may be singular att=0,t=1,u=0,and v=0,also may be negative for some values of t,u,v. |
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| Keywords: | differential system positive solution cone fixed point theorem |
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