Inverse Nodal Problem for Conformable Sturm-Liouville Operator with Jump Conditions

被引：1

作者：

Goktas, Sertac ^{[1
]}

机构：

[1] Mersin Univ, Fac Sci & Letters, Dept Math, TR-33343 Mersin, Turkey

来源：

FILOMAT | 2022年 / 36卷 / 17期

关键词：

Conformable fractional Sturm-Liouville problem; Discontinuous conditions; Nodal points; Lipschitz stability; Pru?fer Substitutions; FRACTIONAL CALCULUS; SPECTRAL PROBLEMS; BOUNDARY; UNIQUENESS; EQUATIONS;

D O I：

10.2298/FIL2217737G

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a conformable fractional Sturm-Liouville problem with the discontinuous(or jump) condition inside the interval. The asymptotic formulas for the eigenvalues, nodal parameters (nodal points and nodal lengths) of this problem are calculated by the modified Pru center dot fer substitutions. Also, using these asymptotic formulas, an explicit formula for the potential functions is given. After all, we discuss Lipschitz stability for the considered problem.

引用

页码：5737 / 5749

页数：13

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