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一类高阶正则左定问题的谱

Spectrum of a Class High-order Regular Left-definite Problems
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摘要 通过分析左定与右定问题的关系,应用谱曲线和高阶右定问题的谱,研究了一类高阶左定问题谱的特性及谱对给定参数的可微性. The spectrum of a chss of high-order left-definite problems is studied by the relationship between the left-definite and the right-definite problems. The speciality of spectrum of the leftdefinite problems is established based on the right-definite problems and spectral curve. The differentiable dependence of the eigenvalues with respect to a given parameter is studied.
作者 翁腾飞
出处 《肇庆学院学报》 2008年第2期13-16,共4页 Journal of Zhaoqing University
基金 广东省自然科学基金资助项目(5012285) 内蒙古自然科学基金资助项目(20040802114)
关键词 左定 自伴算子 特征值 left-definite self-adjoint operator eigenvalues spectrum
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参考文献2

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