Results 61 to 70 of about 621 (134)
Fractional Sturm-Liouville operators on compact star graphs
Demonstratio MathematicaIn this article, we examine two problems: a fractional Sturm-Liouville boundary value problem on a compact star graph and a fractional Sturm-Liouville transmission problem on a compact metric graph, where the orders αi{\alpha }_{i} of the fractional ...
Mutlu Gökhan, Uğurlu Ekin
doaj +1 more source
A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem
Abstract and Applied Analysis, 2012 We propose a numerical Taylor's Decomposition method to compute approximate eigenvalues and eigenfunctions for regular Sturm-Liouville eigenvalue problem and nonlinear Euler buckling problem very accurately for relatively large step sizes.
Meltem Evrenosoglu Adiyaman +1 more
doaj +1 more source
Advances in Difference Equations, 2019 We investigate the existence and uniqueness of a solution for a Sturm–Liouville fractional differential equation with a multi-point boundary condition via the Caputo derivative; existence and uniqueness results for the given problem are obtained via the ...
Ahmed M. A. El-Sayed, Fatma M. Gaafar
doaj +1 more source
Reconstruction Techniques for Inverse Sturm–Liouville Problems With Complex Coefficients
Mathematical Methods in the Applied Sciences, Volume 48, Issue 17, Page 15875-15889, 30 November 2025.ABSTRACT A variety of inverse Sturm–Liouville problems is considered, including the two‐spectrum inverse problem, the problem of recovering the potential from the Weyl function, as well as the recovery from the spectral function. In all cases, the potential in the Sturm–Liouville equation is assumed to be complex valued.
Vladislav V. Kravchenko
wiley +1 more source
Numerical study of the Sturm–Liouville problem [PDF]
Iranian Journal of Numerical Analysis and OptimizationThe article discusses the general Sturm–Liouville problem. To solve it numerically, a new algorithm is proposed, which is based on the varia-tional principle and does not use saturation.
S.D. Algazin, A.A. Sinitsyn
doaj +1 more source
Inverse Sturm-Liouville problems with fixed boundary conditions
Electronic Journal of Differential Equations, 2015 Necessary and sufficient conditions for two sequences $\{\mu_n\}_{n=0}^\infty$ and $\{ a_n\}_{n=0}^\infty$ to be the spectral data for a certain Sturm-Liouville problem are well known.
Yuri A. Ashrafyan, Tigran N. Harutyunyan
doaj
International Journal of Mathematics and Mathematical Sciences, 2003 We consider Euler equations with stratified background state that is valid for internal water waves. The solution of the initial-boundary problem for Boussinesq approximation in the waveguide mode is presented in terms of the stream function.
A. A. Halim +2 more
doaj +1 more source
Inverse Problems for the Quadratic Pencil of the Sturm-Liouville Equations with Impulse
Abstract and Applied Analysis, 2013 In this study some inverse problems for a boundary value problem generated with a quadratic pencil of Sturm-Liouville equations with impulse on a finite interval are considered.
Rauf Kh. Amırov, A. Adiloglu Nabıev
doaj +1 more source
On characteristic functions of equilateral regular star-trees [PDF]
Математичні Студії, 2012 A spectral problem generated by the Sturm-Liouville equation on the edges of a regular equilateral finite star-tree with the Dirichlet boundary conditions at the pendant vertices and continuity and Kirchhoff's conditions at the interior vertices is ...
N. A. Rozhenko
doaj
Linear second-order problems with Sturm-Liouville-type multi-point boundary conditions
Electronic Journal of Differential Equations, 2012 We consider the eigenvalue problem for the equation $-u'' = lambda u$ on $(-1,1)$, together with general Sturm-Liouville-type, multi-point boundary conditions at $pm 1$. We show that the basic spectral properties of this problem are similar to those
Bryan P. Rynne
doaj