Sturm‐Liouville problem for stationary differential operator with nonlocal integral boundary condition
Sturm‐Liouville problem for stationary differential operator with nonlocal integral boundary condition
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DOI：
10.3846/13926292.2005.9637295
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发表时间：
2010-10
影响因子：
1.8
通讯作者：
S. Pečiulytė;O. Štikonienė;A. Štikonas
中科院分区：
文献类型：
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作者：
S. Pečiulytė;O. Štikonienė;A. Štikonas
本文考虑了具有各种非局部积分边界条件的Sturm-Liouville问题。在论文的第一部分，我们研究了具有两种非局部积分边界条件的Sturm-Liouville问题。在复数情形下，我们证明了这类问题的特征函数和特征值的一般性质。在第二部分中，我们研究了实本征值情形。分析了这些问题的谱与边界条件参数的关系。描述了受非局部边界条件参数约束的所有特征值的定性行为。
Abstract The Sturm‐Liouville problem with various types of nonlocal integral boundary conditions is considered in this paper. In the first part of paper we investigate Sturm‐Liouville problem with two cases of nonlocal integral boundary conditions. We prove general properties of the eigenfunctions and eigenvalues for such problem in the complex case. In the second part we investigate real eigenvalues case. The spectrum depends of these problems on boundary condition parameters is analyzed. Qualitative behaviour of all eigenvalues subject to nonlocal boundary condition parameters is described.