Inverse problem for a differential equation with discontinuity in a finite range
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Abstract (EN)
In this study, the solution of the inverse nodal problem is given for a Sturm-Liouville problem with a discontinuity boundary condition at the midpoint of a finite interval. For this, Prüfer transform is used. First of all, with the help of this transformation, asymptotic forms for eigenvalues, zeros of eigenfunctions (nodal points) and nodal lengths are found. In the next step: a formula for potential function is given with the help of nodal parameters.
Author
Ender Kula
How to Cite
Ender Kula (Master Thesis). Inverse problem for a differential equation with discontinuity in a finite range, 2023, Fırat University.
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