Results 1 to 10 of about 607 (116)
Exact and Numerical Solution of the Fractional Sturm–Liouville Problem with Neumann Boundary Conditions [PDF]
Entropy, 2022 In this paper, we study the fractional Sturm–Liouville problem with homogeneous Neumann boundary conditions. We transform the differential problem to an equivalent integral one on a suitable function space.
Malgorzata Klimek +2 more
doaj +2 more sources
Axioms, 2023 Matrix representations for a class of Sturm–Liouville problems with eigenparameters contained in the boundary and interface conditions were studied. Given any matrix eigenvalue problem of a certain type and an eigenparameter-dependent condition, a class ...
Shuang Li, Jinming Cai, Kun Li
doaj +1 more source
Numerical Computation of Spectral Solutions for Sturm-Liouville Eigenvalue Problems
International Journal of Analysis and Applications, 2023 This paper focuses on the study of Sturm-Liouville eigenvalue problems. In the classical Chebyshev collocation method, the Sturm-Liouville problem is discretized to a generalized eigenvalue problem where the functions represent interpolants in suitably ...
Sameh Gana
doaj +1 more source
Lietuvos Matematikos Rinkinys, 2021 Sturm-Liouville problem with nonlocal boundary conditions arises in many scientific fields such as chemistry, physics, or biology. There could be found some references to graph theory in a discrete Sturm-Liouville problem, especially in investigation of ...
Jonas Vitkauskas, Artūras Štikonas
doaj +1 more source
A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus
Journal of Function Spaces, 2021 In mathematical physics (such as the one-dimensional time-independent Schrödinger equation), Sturm-Liouville problems occur very frequently. We construct, with a different perspective, a Sturm-Liouville problem in multiplicative calculus by some ...
Sertac Goktas
doaj +1 more source
Recovery of Inhomogeneity from Output Boundary Data
Mathematics, 2022 We consider the Sturm–Liouville equation on a finite interval with a real-valued integrable potential and propose a method for solving the following general inverse problem.
Vladislav V. Kravchenko +2 more
doaj +1 more source
Lietuvos Matematikos Rinkinys, 2021 In this paper, relations between discrete Sturm--Liouville problem with nonlocal integral boundary condition characteristics (poles, critical points, spectrum curves) and graphs characteristics (vertices, edges and faces) were found. The previous article
Jonas Vitkauskas, Artūras Štikonas
doaj +1 more source
Solving an Inverse Sturm-Liouville Problem by a Lie-Group Method
Boundary Value Problems, 2008 Solving an inverse Sturm-Liouville problem requires a mathematical process to determine unknown function in the Sturm-Liouville operator from given data in addition to the boundary values.
Chein-Shan Liu
doaj +2 more sources
On the Jost Solutions of A Class of the Quadratic Pencil of the Sturm-Liouville Equation
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2023 In this study we construct new integral representations of Jost-type solutions of the quadratic pencil of the Sturm-Liouville equation with the piece-wise constant coefficient on the entire real line.
Döndü Nurten Cücen, Anar Adiloğlu
doaj +1 more source
Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm-Liouville Operator
Advances in Mathematical Physics, 2021 This paper is concerned with the inverse eigenvalue problem for singular rank one perturbations of a Sturm-Liouville operator. We determine uniquely the potential function from the spectra of the Sturm-Liouville operator and its rank one perturbations.
Xuewen Wu
doaj +1 more source