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. H. (2018). Inverse nodal problem for p-Laplacian with two potential functions. Computational Methods for Differential Equations, 6(1), 19-29.
MLA
Dabbaghian, A. H. . "Inverse nodal problem for p-Laplacian with two potential functions", Computational Methods for Differential Equations, 6, 1, 2018, 19-29.
HARVARD
Dabbaghian, A. H. (2018). 'Inverse nodal problem for p-Laplacian with two potential functions', Computational Methods for Differential Equations, 6(1), pp. 19-29.
CHICAGO
A. H. Dabbaghian, "Inverse nodal problem for p-Laplacian with two potential functions," Computational Methods for Differential Equations, 6 1 (2018): 19-29,
VANCOUVER
Dabbaghian, A. H. Inverse nodal problem for p-Laplacian with two potential functions. Computational Methods for Differential Equations, 2018; 6(1): 19-29.
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