一类四阶不定微分算子的非实特征值
Non-Real Eigenvalues of a Class of Fourth Order Indefinite Differential Operators
DOI: 10.12677/AAM.2017.65078, PDF, HTML, XML, 下载: 1,667  浏览: 4,989  国家自然科学基金支持
作者: 赵馨, 高云兰*, 秦小娟：内蒙古工业大学理学院，内蒙古 呼和浩特
关键词: 不定微分算子；四阶微分算子；非实特征值；Indefinite Differential Operator； Fourth Order Differential Operator； Non-Real Eigenvalue
摘要: 本文讨论了一类四阶正则不定微分算子的非实特征值，在系数可积的条件下分别给出了权函数仅变号一次和权函数可变号任意次时非实特征值的界。
Abstract: The present paper deals with non-real eigenvalues of regular fourth order indefinite differential operators. Bounds of non-real eigenvalues are obtained under mild integrable conditions of coefficients when weighted function’s sign changes one or any time.
文章引用：赵馨, 高云兰, 秦小娟. 一类四阶不定微分算子的非实特征值[J]. 应用数学进展, 2017, 6(5): 664-669. https://doi.org/10.12677/AAM.2017.65078

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