Results 1 to 10 of about 142 (134)

Uniqueness theorems for Sturm-Liouville operators with interior twin-dense nodal set

Electronic Journal of Differential Equations, 2017
We study Inverse problems for the Sturm-Liouville operator with Robin boundary conditions. We establish two uniqueness theorems from the twin-dense nodal subset $W_{S}([\frac{1-\varepsilon}{2},\frac{1}{2 ...
Yu Ping Wang
doaj  

Shared white matter connectome-based correlates of self-reproach, response failure, spatial planning, and resilience in patients with subthreshold depression: a graph theory approach

Scientific Reports
Self-reproach affects decision-making, mediates the impact of social distress on mental health, and is predictive of more severe depressive symptoms in patients with major depressive disorder (MDD) and subthreshold depression (SthD).
Je-Yeon Yun, So Young Yoo, Jung-Seok Choi, Soo-Hee Choi, Joon Hwan Jang   +4 more
doaj   +1 more source

The inverse nodal problem for a differential operator with an eigenvalue in the boundary condition

Applied Mathematics Letters, 2008
The paper considers the Sturm-Liouville problem given by the second-order ODE \[ y''(x)+ [\lambda^2+ \mu- q(x)]y(x)= 0,\qquad x\in (0,\pi)\tag{1} \] subject to the boundary conditions \[ y(0)= 0,\quad ay'(\pi)+\lambda y(\pi)= 0,\tag{2} \] where \(q\in L^1([0,\pi])\), \(\mu\in \mathbb{R}\), \(a\in\mathbb{R}^*\), \(\lambda\) is eigenvalue.
openaire   +1 more source

Inverse nodal problem for a Sturm-Liouville operator with discontinuous coefficient

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2017
Inverse nodal problem for SturmnLiouville equation with discontinuity coeffecient is studied. A uniqueness theorem and an algorithm for recovering the coeffecient of the problem from a known sequence related to the nodal points are ...
openaire   +4 more sources

Inverse nodal problems for the Sturm–Liouville operator with a constant delay

Journal of Differential Equations, 2014
The inverse nodal problem is studied for the differential equation \[ -y''(x)+q(x)y(x-a)=\lambda y(x),\; x\in(0,\pi) \] with two-point separated boundary conditions. A procedure for constructing the solution of this problem is suggested, and the stability of the solution is established.
openaire   +1 more source

Inverse Nodal Problem for Sturm- Liouville Boundary Value Problem

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Inverse nodal problems has been studied for Sturm-Liouville equations with point δ coaction. First, the eigenvalues of the problem are obtained. Then, the solution of the inverse problem is given by obtaining potential function and the parameters in the boundary conditions with the help of a dense set of nodal points.
openaire   +2 more sources

Inverse nodal problems for Dirac operators and their numerical approximations

Electronic Journal of Differential Equations, 2023
Fei Song, Yuping Wang, Shahrbanoo Akbarpoor   +2 more
doaj  

The Inverse Nodal problem for the fractional diffusion equation

, 2015
In this paper, on a general finite interval, the inverse problem of recovering the potential function for a fractional diffusion equation with new spectral parameter, called the nodal point, is given. Furthermore, using Mittag Leffler function, asymptotic formulas for nodal points and nodal length for a fractional diffusion equation are also found. 
openaire   +1 more source

A nodal inverse problem for measure geometric Laplacians

Communications in Nonlinear Science and Numerical Simulation, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Juan Pablo Pinasco, Cristian Scarola
exaly   +3 more sources

Inverse Nodal Problem for Polynomial Potentials

Numerical Functional Analysis and Optimization, 2021
In this work, we study an inverse nodal problem for a differential pencil with boundary condition depends on eigenparameter.
Hikmet Kemaloglu, Chung-Tsun Shieh
exaly   +3 more sources