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一类非共轭边值问题Green函数定号的最优区间

The optimal interval for Green's function having a constant sign of a non-conjugate boundary value problem
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摘要 证明了一类非共轭微分方程在非共轭边值条件下Green函数定号的最优区间的存在性,使得当参数在此最优区间时,Green函数是定负的.随后用逆向搜索法找到参数最优区间的左、右端点. The existence of the optimal interval is proved,such that the Green＇s function of a disconjugate differential equation with non-conjugate boundary condition will get negative sign when the parameter is in this interval.Then,the left and right endpoints of this interval are found by backward searching method.
作者 李辉 冯育强 布昶昶
机构地区 武汉科技大学理学院
出处 《西北师范大学学报（自然科学版）》 CAS 北大核心 2015年第2期4-8,共5页 Journal of Northwest Normal University(Natural Science)
基金 教育部高等学校博士点基金项目(20134219120003) 湖北省自然科学基金重点项目(2013CFA131) 冶金工业过程的系统科学湖北省重点实验室基金项目(z201302)
关键词 GREEN函数 定号 最优区间 三阶微分方程 Green＇s function constant sign optimal interval third-order differential equation
分类号 O175.08 [理学—基础数学]
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参考文献10

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西北师范大学学报（自然科学版）
2015年 第2期

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