| 靶向法在一类二阶三点积分边值问题中的应用 |
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| 引用本文： | 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. |
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| 作者姓名： | 王会兰 刘邵容 |
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| 作者单位： | 南华大学数理学院 |
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| 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.
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| 关 键 词： | 常微分方程 积分边值问题 解的存在性 靶向法 |
| 收稿时间： | 2012/9/15 0:00:00 |
An Application of Shooting Method in a Class of Second-order Three-point Integral Boundary-point Problems |
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| 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 Nanhua University:Science and Technology,2012,26(3):79-81. |
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| Authors: | WANG Hui-lan LIU Shao-rong |
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| Institution: | (School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China) |
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| Abstract: | 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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| Keywords: | ordinary differential equation integral boundary value problem existence of positive solutions shooting method |
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