Reconstruction of potential function for Sturm-Liouville operator with Coulomb potential

ES Panakhov, M Sat - Boundary Value Problems, 2013 - Springer
In this paper, we are concerned with an inverse problem for the Sturm-Liouville operator with
Coulomb potential using a new kind of spectral data that is known as nodal points. We give …

Reconstruction of potential function and its derivatives for Sturm–Liouville problem with eigenvalues in boundary condition

E Yılmaz, H Koyunbakan - Inverse Problems in Science and …, 2010 - Taylor & Francis
The purpose of this article is solving inverse nodal problem for Sturm–Liouville equation with
a boundary condition depending on spectral parameter. Taking into account Law and …

Lipschitz stability of inverse nodal problem for energy-dependent Sturm-Liouville equation

E Yilmaz - New Trends in Mathematical Sciences, 2015 - dergipark.org.tr
In this study, we solve the reconstruction and some stability problems for diffusion operator
using nodal set ofeigenfunctions. Moreover, we show that the space of all potential functions …

[PDF][PDF] Some spectral properties of diffusion equation on time scales

E Yılmaz, H Koyunbakan, U Iç - Contemporary Analysis and …, 2015 - researchgate.net
Some spectral properties of diffusion equation on time scales 1 Introduction Page 1
Contemporary Analysis and Applied Mathematics Vol.3, No.2, 238-246, 2015 DOI: 10.18532/caam.03398 …

[PDF][PDF] Ambarzumyan type theorem for a matrix valued quadratic Sturm-Liouville problem

E Yilmaz, H Koyunbakan - Comput. Model. Eng. Sci, 2014 - cdn.techscience.cn
In this study, Ambarzumyan's theorem for quadratic Sturm-Liouville problem is extended to
second order differential systems of dimension d≥ 2. It is shown that if the spectrum is the …

Inverse Nodal Problem for Polynomial Pencil of a Sturm-Liouville Operator from Nodal Parameters

S Goktas, E Biten - Mathematics Interdisciplinary Research, 2021 - mir.kashanu.ac.ir
A Sturm-Liouville problem with n-potential functions in the second order differential equation
and which contains spectral parameter depending on linearly in one boundary condition is …

Numerical simulation of diffusion equation by means of He's variational iteration method and Adomian's decomposition method

H Koyunbakan, E Yılmaz - Cankaya University Journal of Science …, 2010 - dergipark.org.tr
In this study, we obtain approximate solutions for diffusion equation on a finiteinterval by the
Adomian decomposition method (ADM) and variational iteration method (VIM) for three …

An inverse nodal problem for differential pencils with complex spectral parameter dependent boundary conditions

T Gulsen, E Yilmaz, H Koyunbakan - New Trends in Mathematical …, 2017 - dergipark.org.tr
In this study, we are concerned with an inverse nodal problem for second order differential
pencil on a finite interval with complex spectral parameter dependent boundary conditions …

[PDF][PDF] Sınır Koşulunda Öz Parametre Bulunduran Bir Sturm-Liouville Operatörü İçin Ters Nodal Problem

S Göktaş - Gümüşhane Üniversitesi Fen Bilimleri Dergisi, 2020 - dergipark.org.tr
Bu çalışmada, sınır koşulunda öz parametre ve ikinciderece diferensiyel denkleminde
birden fazla potansiyel bulunduran bir Sturm-Liouville problemi ele alınmıştır. Prüfer …

Re-establishment singular spectral problem by nodal data

E Baş, R Özarslan, ES Panakhov - AIP Conference Proceedings, 2016 - elibrary.ru
Re-establishment singular spectral problem by nodal data КОРЗИНА ПОИСК НАВИГАТОР
ЖУРНАЛЫ КНИГИ ПАТЕНТЫ ПОИСК АВТОРЫ ОРГАНИЗАЦИИ КЛЮЧЕВЫЕ СЛОВА …