| 王会兰,刘邵容.靶向法在一类二阶三点积分边值问题中的应用[J].南华大学学报(自然科学版),2012,26(3):79~81.[WANG Hui-lan,LIU Shao-rong.An Application of Shooting Method in a Class of Second-order Three-point Integral Boundary-point Problems[J].Journal of University of South China(Science and Technology),2012,26(3):79~81.] |
| 靶向法在一类二阶三点积分边值问题中的应用 |
| An Application of Shooting Method in a Class of Second-order Three-point Integral Boundary-point Problems |
| 投稿时间：2012-09-15 |
| DOI： |
| 中文关键词: 常微分方程 积分边值问题 解的存在性 靶向法 |
| 英文关键词:ordinary differential equation integral boundary value problem existence of positive solutions shooting method |
| 基金项目: |
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| 摘要点击次数: 871 |
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| 中文摘要: |
| 运用靶向法研究了一类非线性二阶常微分方程三点积分边值问题正解的存在性.通过构造一个二次函数及一个正弦函数做为目标函数,并结合使用积分中值定理及Sturm比较定理,得到了上述边值问题存在正解的充分条件. |
| 英文摘要: |
| Using the method of shooting,the existence of positive solutions for a class of second-order three-point integral boundary-point problem is studied.By constructing a quadratic function and a sine function as the objective functions and combining with the Integral Mean Value Theorem and Sturm Comparison Theorem,we obtained the sufficient conditions for the existence of positive solutions to the boundary-value problem. |
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