Abdol Hadi Dabbaghian
Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran
[ 1 ] - Inverse nodal problem for p-Laplacian with two potential functions
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 i...
[ 2 ] - The numerical values of the nodal points for the Sturm-Liouville equation with one turning point
An inverse nodal problem has first been studied for the Sturm-Liouville equation with one turning point. The asymptotic representation of the corresponding eigenfunctions of the eigenvalues has been investigated and an asymptotic of the nodal points is obtained. For this problem, we give a reconstruction formula for the potential function. Furthermore, numerical examples have been established a...
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