Geodesic
Inverse nodal problem for conformable Sturm-Liouville operator with jump conditions
Filomat, Tome 36 (2022) no. 17, p. 5737

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DOI

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 Prüfer 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.
DOI : 10.2298/FIL2217737G
Classification : 26A33, 34A08, 34A55, 34B24, 34L05
Keywords: Conformable fractional Sturm-Liouville problem, Discontinuous conditions, Nodal points, Lipschitz stability, Prüfer Substitutions 
Sertac Goktas. Inverse nodal problem for conformable Sturm-Liouville operator with jump conditions. Filomat, Tome 36 (2022) no. 17, p. 5737 . doi: 10.2298/FIL2217737G
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     title = {Inverse nodal problem for conformable {Sturm-Liouville} operator with jump conditions},
     journal = {Filomat},
     pages = {5737 },
     year = {2022},
     volume = {36},
     number = {17},
     doi = {10.2298/FIL2217737G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2217737G/}
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