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Some properties of eigenfunctions for the equation of vibrating beam with a spectral parameter in the boundary conditions
Journal of Differential Equations ( IF 2.4 ) Pub Date : 2020-07-01 , DOI: 10.1016/j.jde.2020.01.010
Ziyatkhan S. Aliyev , Gunay T. Mamedova

Abstract In this paper we consider a spectral problem for ordinary differential equations of fourth order with the spectral parameter contained in three of the boundary conditions. We study the oscillatory properties of the eigenfunctions and, using these properties, we obtain sufficient conditions for the system of eigenfunctions of the problem in question to form a basis in the space L p ( 0 , 1 ) , 1 p ∞ , after removing three functions.

中文翻译:

边界条件下带谱参数的振动梁方程本征函数的一些性质

摘要 本文考虑谱参数包含在三个边界条件中的四阶常微分方程的谱问题。我们研究了本征函数的振荡特性,并利用这些特性,我们获得了问题的本征函数系统的充分条件,在去除三个后,在空间 L p ( 0 , 1 ) , 1 p ∞ 中形成一个基职能。
更新日期:2020-07-01
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