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Inverse nodal problem for p-Laplacian energy-dependent Sturm-Liouville equation

Inverse nodal problem for p-Laplacian energy-dependent Sturm-Liouville equation

In this study, the inverse nodal problem is solved for p-Laplacian Schrödinger equation with energy-dependent potential function with the Dirichlet conditions. Asymptotic estimates of eigenvalues, nodal points and nodal lengths are given by using Prüfer substitution. Especially, an explicit formula for a potential function is given by using nodal lengths. …