一类时标上四阶边值问题的有限谱
Finite Spectrum of a Class of Fourth Order Boundary Value Problems on Time Scales
DOI: 10.12677/AAM.2018.75062, PDF,    国家自然科学基金支持
作者: 王 娟, 敖继军*：内蒙古工业大学理学院，内蒙古 呼和浩特
关键词: 四阶边值问题；时标；有限谱；Fourth Order Boundary Value Problems； Time Scales； Finite Spectrum
摘要: 本文讨论了一类时标上四阶边值问题在自共轭边界条件下的谱问题。通过分割时标，并且使得四阶Sturm-Liouville方程的系数函数在相邻子区间上满足特定的条件，从而得出具有有限谱的结论。
Abstract: The spectral analysis of a class of fourth order boundary value problems with self-adjoint boundary conditions on time scales is investigated. By partitioning the bounded time scale and making the coefficients of the fourth order Sturm-Liouville equation satisfy certain conditions on the adjacent subintervals, the finite eigenvalue results are obtained.
文章引用：王娟, 敖继军. 一类时标上四阶边值问题的有限谱[J]. 应用数学进展, 2018, 7(5): 510-518. https://doi.org/10.12677/AAM.2018.75062

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