University of KashanMathematics Interdisciplinary Research2538-36396320210901Inverse Nodal Problem for Polynomial Pencil of a Sturm-Liouville Operator from Nodal Parameters17118311163410.22052/mir.2021.242239.1286ENSertac GoktasDepartment of Mathematics,
Mersin University,
Mersin, Turkey0000-0001-7842-6309Esengul BitenDepartment of Mathematics,
Mersin University,
Mersin, Turkey0000-0001-9754-3455Journal Article20210508A Sturm-Liouville problem with n-potential functions in the second order differential equation and which contains spectral parameter depending on linearly in one boundary condition is considered. The asymptotic formulas for the eigenvalues, nodal parameters (nodal points and nodal lengths) of this problem are calculated by the Prüfer's substitutions. Also, using these asymptotic formulas, an explicit formula for the potential functions are given. Finally, a numerical example is given.https://mir.kashanu.ac.ir/article_111634_89d6dc1051dd147639c7ebc8f42970d0.pdf