Results 41 to 50 of about 8,983 (77)

Weak and strong stability of the inverse Sturm‐Liouville problem

Mathematical methods in the applied sciences, 2023
In this work, we study the stability of the inverse Sturm‐Liouville problem with the Neumann boundary condition at the left ending point and the Robin boundary condition at the right ending point. We estimate the difference of two potentials in the sense
Yan Guo, Li-Jie Ma, Xiao‐Chuan Xu, Qi An   +3 more
semanticscholar   +1 more source

Existence and uniqueness of solutions for generalized Sturm–Liouville and Langevin equations via Caputo–Hadamard fractional-order operator

Engineering computations, 2022
PurposeThis paper aims to investigate the existence and uniqueness of solution for generalized Sturm–Liouville and Langevin equations formulated using Caputo–Hadamard fractional derivative operator in accordance with three nonlocal Hadamard fractional ...
I. Batiha, Adel Ouannas, Ramzi B. Albadarneh, Abeer A. Al-Nana, S. Momani   +4 more
semanticscholar   +1 more source

Optimal maximal gaps of Dirichlet eigenvalues of Sturm–Liouville operators

Journal of Mathematics and Physics, 2022
In this paper, we consider the gaps λ2 n( q) − λ1( q) for the Dirichlet eigenvalues { λ m( q)} of Sturm–Liouville operators with potentials q on the unit interval.
Shuyuan Guo, Gang Meng, P. Yan, Meirong Zhang   +3 more
semanticscholar   +1 more source

Reconstruction for Sturm-Liouville operators with frozen argument for irrational cases

Applied Mathematics Letters, 2021
An inverse spectral problem for Sturm–Liouville operators with frozen argument irrationally proportioned to the interval length is studied in this paper. We present a constructive procedure for reconstructing the potential from the spectrum.
Yu-Ping Wang, Mao-zhu Zhang, Wenju Zhao, Xianbiao Wei   +3 more
semanticscholar   +1 more source

Finite-difference approximation of the inverse Sturm-Liouville problem with frozen argument

Applied Mathematics and Computation, 2021
This paper deals with the discrete system being the finite-difference approximation of the Sturm-Liouville problem with frozen argument. The inverse problem theory is developed for this discrete system. We describe the two principal cases: degenerate and
N. Bondarenko
semanticscholar   +1 more source

Pseudospectral method for solving fractional Sturm-Liouville problem using Chebyshev cardinal functions

Physica Scripta, 2021
This work deals with the pseudospectral method to solve the Sturm-Liouville eigenvalue problems with Caputo fractional derivative using Chebyshev cardinal functions.
Alireza Afarideh, F. Dastmalchi Saei, M. Lakestani, behzad nemati saray   +3 more
semanticscholar   +1 more source

An h-version adaptive FEM for eigenproblems in system of second order ODEs: vector Sturm-Liouville problems and free vibration of curved beams

Engineering Computations, 2020
Purpose This study aims to overcome the involved challenging issues and provide high-precision eigensolutions. General eigenproblems in the system of ordinary differential equations (ODEs) serve as mathematical models for vector Sturm-Liouville (SL) and free vibration problems.
openaire   +1 more source

Two‐linked periodic Sturm–Liouville problems with transmission conditions

Mathematical methods in the applied sciences, 2021
The aim of this study is to generalize some important spectral properties of classical periodic Sturm–Liouville problems to two‐linked periodic problems with additional transmission conditions at an interior point of interaction, which have not been ...
O. Mukhtarov, K. Aydemir
semanticscholar   +1 more source

A partial inverse Sturm‐Liouville problem on an arbitrary graph

Mathematical methods in the applied sciences, 2021
The Sturm‐Liouville operator with singular potentials of class W2−1 on a graph of arbitrary geometrical structure is considered. We study the partial inverse problem, which consists in the recovery of the potential on a boundary edge of the graph from a ...
N. Bondarenko
semanticscholar   +1 more source

Well-Posedness of Inverse Sturm–Liouville Problem with Fractional Derivative

Qualitative Theory of Dynamical Systems, 2022
H. Koyunbakan, K. Shah, T. Abdeljawad
semanticscholar   +1 more source