University of TabrizComputational Methods for Differential Equations2345-39826120180101Inverse nodal problem for p-Laplacian with two potential functions19296806ENAbdol Hadi DabbaghianDepartment of Mathematics, Neka Branch,
Islamic Azad University, Neka, IranJournal Article20170130In 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.http://cmde.tabrizu.ac.ir/article_6806_50b2729eb0e3672370769ec0cb6ff0c4.pdf