We study the basis properties of root functions of a spectral problem describing the bending vibrations of a homogeneous rod with a longitudinal force acting in its cross sections. Both rod ends are elastically fixed and either there is a lumped mass or a follower force acts on each of the ends. We establish a sufficient condition for the basis property of the system of root functions of this problem in the space $$L_p (0, 1)$$ , $$1

中文翻译：

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具有依赖于谱参数的边界条件的振动边值问题的根函数的基本性质

我们研究了一个谱问题的根函数的基本特性，该问题描述了在其横截面上作用有纵向力的均匀杆的弯曲振动。两个杆端都是弹性固定的，并且有一个集中质量或一个随动力作用在每个端上。我们在 $$L_p (0, 1)$$ , $$1 空间中建立这个问题的根函数系统的基性质的充分条件