Inverse nodal problem for p-Laplacian with two potential functions

Document Type : Research Paper

Author

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.

Keywords


Volume 6, Issue 1
January 2018
Pages 19-29
  • Receive Date: 30 January 2017
  • Revise Date: 24 September 2017
  • Accept Date: 28 November 2017
  • First Publish Date: 01 January 2018