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Ambarzumyan theorem by zeros of eigenfunction

International Journal of Mathematics and Computer in Engineering

Volume 1 (2023): Issue 2 (December 2023)

By: Beyhan Kemaloglu

Open Access

|Sep 2023

Abstract

In this short paper, we give the proof of the Ambarzumyan theorem by zeros of eigenfunctions (nodal points) different from eigenvalues for the one-dimensional p-Laplacian eigenvalue problem. We show that the potential function q(x) is zero if the spectrum is in the specific form. We consider this theorem for p-Laplacian equation with periodic and anti-periodic cases. If p = 0, results are coincided with the results given for Sturm-Liouvile problem.

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Articles in this issue

DOI: https://doi.org/10.2478/ijmce-2023-0017 | Journal eISSN: 2956-7068

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Language: English

Page range: 211 - 216

Submitted on: Jun 20, 2023

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Accepted on: Aug 10, 2023

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Published on: Sep 13, 2023

Published by: Harran University

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Ambarzumyan theorem,

Related subjects:

Computer sciences,

Computer sciences, other,

Introductions and overviews,

Engineering, other,

General mathematics,

© 2023 Beyhan Kemaloglu, published by Harran University
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 1 (2023): Issue 2 (December 2023)

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