Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran
Abstract
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.
Dabbaghian, A. (2018). Inverse nodal problem for p-Laplacian with two potential functions. Computational Methods for Differential Equations, 6(1), 19-29.
MLA
Abdol Hadi Dabbaghian. "Inverse nodal problem for p-Laplacian with two potential functions". Computational Methods for Differential Equations, 6, 1, 2018, 19-29.
HARVARD
Dabbaghian, A. (2018). 'Inverse nodal problem for p-Laplacian with two potential functions', Computational Methods for Differential Equations, 6(1), pp. 19-29.
VANCOUVER
Dabbaghian, A. Inverse nodal problem for p-Laplacian with two potential functions. Computational Methods for Differential Equations, 2018; 6(1): 19-29.
)
