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四阶左定差分算子的谱理论

Spectral Theory of Left Definite Difference Operators
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摘要 研究差分方程边值问题解的存在性很早就受到人们的重视,得到不少很好的结果.文章是关于四阶左定差分方程边界值的谱理论,是二阶左定差分算子谱理论的推广. Existence of eigenvalues of boundary value difference equation is valued and fundamental spectral results are obtained.The main idea concerned with the spectral theory for the forth-order left definite difference boundary value problems which extend the spectral theory of second-order difference operator.
作者 皇甫秀丽
机构地区 天津大学数学系
出处 《太原师范学院学报(自然科学版)》 2012年第1期65-68,共4页 Journal of Taiyuan Normal University:Natural Science Edition
关键词 左定 四阶差分算子 谱理论 特征值 特征函数 left definite forth-order difference operator eigenfunctions spectral theory eigenvalues
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参考文献8

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