Inverse nodal problem for p-Laplacian with two potential functions

نویسنده

چکیده مقاله:

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.

Download for Free

Sign up for free to access the full text

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Inverse nodal problem and Ambarzumyan problem for the p-Laplacian

We study the issues of reconstruction and stability issues of the inverse nodal problem for the one-dimensional p-Laplacian eigenvalue problem. A key step is the application of a modified Prüfer substitution to derive a detailed asymptotic expansion for the eigenvalues and nodal lengths. Two associated Ambarzumyan problems are also solved. AMS Subject Classification (2000) : 34A55, 34B24. 1 2 1...

متن کامل

An inverse nodal problem for p-Laplacian Sturm-Liouville equation with Coulomb potential

We deal with an inverse nodal problem for p-Laplacian Sturm-Liouville equation which includes Coulomb type potential function under boundary condition depends on polynomial spectral parameter. Here, we get some asymptotic formulas of eigenvalues and nodal parameters by using a suitable Prüfer substitution. Eventually, we construct Coulomb potential by using nodal lengths. c ©2017 All rights res...

متن کامل

A Numerical Method for Backward Inverse Heat Conduction Problem With two Unknown Functions

This paper considers a linear one dimensional inverse heat conduction problem with non constant thermal diffusivity and two unknown terms in a heated bar with unit length. By using the WKB method, the heat flux at the end of boundary and initial temperature will be approximated, numerically. By choosing a suitable parameter in WKB method the ill-posedness of solution will be improved. Finally, ...

متن کامل

An Inverse Problem for the p-Laplacian: Boundary Determination

We study an inverse problem for nonlinear elliptic equations modelled after the p-Laplacian. It is proved that the boundary values of a conductivity coefficient are uniquely determined from boundary measurements given by a nonlinear Dirichletto-Neumann map. The result is constructive and local, and gives a method for determining the coefficient at a boundary point from measurements in a small n...

متن کامل

Inverse nodal problems for the p-Laplacian with eigenparameter dependent boundary conditions

We study the issues of reconstruction of the inverse nodal problem for the one-dimensional p-Laplacian eigenvalue problem with eigenparameter boundary value conditions. A key step is the application of a modified Prüfer substitution to derive a detailed asymptotic expansion for the eigenvalues and nodal lengths. The parameter boundary data are also reconstructed.

متن کامل

The uniqueness theorem for inverse nodal problems with a chemical potential

In this paper, an inverse nodal problem for a second-order differential equation having a chemical potential on a finite interval is investigated. First, we estimate the nodal points and nodal lengths of differential operator. Then, we show that the potential can be uniquely determined by a dense set of nodes of the eigenfunctions.

متن کامل

منابع من

با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ذخیره در منابع من قبلا به منابع من ذحیره شده

{@ msg_add @}


عنوان ژورنال

دوره 6  شماره 1

صفحات  19- 29

تاریخ انتشار 2018-01-01

با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.

میزبانی شده توسط پلتفرم ابری doprax.com

copyright © 2015-2023