Inverse Nodal Problem for P-Laplacian energy-dependent Sturm-Liouville

2013/02/14 by Hikmet Kemaloglu, Kemaloglu, Hikmet
Computer Science · Mathematics · #34A55 #34L20 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math.SP #msc:34A55 #msc:34L20

paper · pdf · doi:10.48550/arxiv.1302.3323

9 pages

arxiv created 2013/02/14 · openalex publication_date 2013/02/14 · arxiv updated 2013/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this study, inverse nodal problem is solved for p-Laplacian Schrödinger equation with energy-dependent potential with the Drichlet conditions. Asymptotic estimates of eigenvalues, nodal points and nodal lengths are given by using Prüfer substitution. Especially, an explicit formula for potential function is given by using nodal lengths. Results are more general than classical p- Laplacian Sturm Liouville problem. For the proofs, it is used the methods given in the references <cite>lav3</cite>, <cite>Wang</cite>.

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