一类具有周期边界条件的不定Sturm-Liouville问题的复数特征值实部和虚部的上界估计

The Non-Real Eigenvalues of Indefinite Sturm-Liouville Problems with Coupled Boundary Conditions

研究一类具有周期边界条件的不定Sturm-Liouville问题的复数特征值,利用谱的性质以及一些特殊不等式,给出了不定Sturm-Liouville问题的复数特征值的实部与虚部的上界估计.

In this paper,we study the non-real eigenvalues of indefinite Sturm-Liouville prob-lems,with the help of properties of spectrum and special inequality,and we are interested in finding the upper bounds of the non-real eigenvalues of an indefinite Sturm-Liouville problems with periodic coupled boundary conditions.