Bounds on the Non-real Eigenvalues of Nonlocal Indefinite Sturm-Liouville Problems with Coupled Boundary Conditions

被引：3
|
作者：
Sun, Fu [1 ]
Li, Kun [2 ]
Cai, Jinming [2 ]
机构：
[1] Qufu Normal Univ, Sch Stat, Qufu 273165, Shandong, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2022年 / 16卷 / 03期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Indefinite Sturm-Liouville problem; Nonlocal potential; Nonlocal coupled boundary conditions; Non-real eigenvalue; DIFFERENTIAL-OPERATORS; SPECTRAL BOUNDS; OSCILLATION;
D O I：
10.1007/s11785-022-01202-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper deals with non-real eigenvalues of nonlocal indefinite Sturm-Liouville problems involving nonlocal potential terms associated to nonlocal coupled boundary conditions. A priori bounds on the imaginary parts and absolute values of these non-real eigenvalues in terms of the coefficients of the differential expression are obtained.
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页数：12
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