Inverse nodal problem for p-Laplacian with two potential functions

Document Type : Research Paper


Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran


In this study, inverse nodal problem is solved for the p-Laplacian operator with two potential functions. We present some asymptotic formulas which have been proved in [17,18] for the eigenvalues, nodal points and nodal lengths, provided that a potential function is unknown. Then, using the nodal points we reconstruct the potential function and its derivatives. We also introduce a solution of inverse nodal problem when the two potential functions are unknown.