Inverse Nodal Problem for P-Laplacian energy-dependent Sturm-Liouville

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In this study, inverse nodal problem is solved for p-Laplacian Schrödinger equation with energy-dependent potential with the Drichlet conditions. Asymptotic estimates of eigenvalues, nodal points and nodal lengths are given by using Prüfer substitution. Especially, an explicit formula for potential function is given by using nodal lengths. Results are more general than classical p- Laplacian Sturm Liouville problem. For the proofs, it is used the methods given in the references <cite>lav3</cite>, <cite>Wang</cite>.