| 首项系数函数为正时Sturm-Liouville问题特征值间不等式的另一种证法 |
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| 引用本文： | 杨树生,张晓军.首项系数函数为正时Sturm-Liouville问题特征值间不等式的另一种证法[J].内蒙古师范大学学报(自然科学版),2009,38(3). |
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| 作者姓名： | 杨树生 张晓军 |
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| 作者单位： | 河套大学,机电与信息工程学院,内蒙古,临河,015000
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| 基金项目： | 内蒙古自治区高等学校科学研究项目，河套大学重点科学研究项目 |
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| 摘 要： | 对于首项系数函数为正的Sturm-Liouville方程,利用自伴边界条件空间中一些边界条件的极限、自伴边界条件空间中的解析圈及连续特征值分支单调性的性质,给出耦合边界条件与分离边界条件下特征值间不等式的另一种证法.
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| 关 键 词： | 自伴Sturm-Liouville问题 耦合边界条件 分离边界条件 特征值不等式 |
Another Solution of the Inequalities among Eigenvalues for Sturm-Liouville Problems with Positive Leading Coefficient Function |
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| YANG Shu-sheng,ZHANG Xiao-jun.Another Solution of the Inequalities among Eigenvalues for Sturm-Liouville Problems with Positive Leading Coefficient Function[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2009,38(3). |
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| Authors: | YANG Shu-sheng ZHANG Xiao-jun |
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| Institution: | College of Mechanical Electronic and Information Engineering;Hetao University;Linhe 015000;Inner Mongolia;China |
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| Abstract: | For a Sturm-Liouville equation with positive leading coefficient function,using some limits on the space of self-adjoint boundary conditions,analytic loop of space of self-adjoint boundary conditions and monotonicity of continuous eigenvalue branch,we give a new proof of the eigenvalue inequalities for coupled boundary conditions and those for separated boundary conditions established. |
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| Keywords: | self-adjoint Sturm-Liouville problems coupled boundary conditions separated boundary conditions eigenvalue inequalities |
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