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Inverse nodal problem for p-Laplacian with two potential functions | ||
Computational Methods for Differential Equations | ||
مقاله 3، دوره 6، شماره 1، فروردین 2018، صفحه 19-29 اصل مقاله (335.74 K) | ||
نوع مقاله: Research Paper | ||
نویسنده | ||
Abdol Hadi Dabbaghian* | ||
Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Prufer substitution؛ Inverse nodal problem؛ P-Laplacian operator | ||
آمار تعداد مشاهده مقاله: 588 تعداد دریافت فایل اصل مقاله: 453 |