Results 51 to 60 of about 4,826,204 (146)

Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators

open access: yesElectronic Journal of Differential Equations, 2004
It is well known that the classical linear Sturm-Liouville eigenvalue problem is self-adjoint and possesses a family of eigenfunctions which form an orthonormal basis for the space L_2.
Alexander S. Makin, H. Bevan Thompson
doaj  

Expressions for Fučik spectra for sturm‐liouville BVP

open access: yesMathematical Modelling and Analysis, 2007
We provide explicit formulas for the Pučik spectra of boundary value problems with the Sturm‐Liouville boundary conditions.
Tatjana Garbuza
doaj   +1 more source

Geometric properties of the self-adjoint Sturm–Liouville problems [PDF]

open access: yes, 2005
In this paper, geometric properties of the self-adjoint Sturm–Liouville problems are investigated. It is proved that for linear self-adjoint Sturm–Liouville problems, the eigenfunctions correspond exactly to the projections of the curvature lines on the ...
Zhang, Xinhua
core   +1 more source

Sturm-Liouville problems

open access: yes, 2008
Regular and singular Sturm-Liouville problems (SLP) are studied including the continuous and differentiable dependence of eigenvalues on the problem.
Anton Zettl
core  

Sturm—Liouville problems and discontinuous eigenvalues

open access: yes, 1999
If a Sturm—Liouville problem is given in an open interval of the real line, then regular boundary value problems can be considered on compact sub-intervals. For these regular problems, all with necessarily discrete spectra, the eigenvalues depend on both
M. Möller, A. Zettl, W. N. Everitt
core   +1 more source

Similarities of discrete and continuous Sturm-Liouville problems

open access: yesElectronic Journal of Differential Equations, 2007
In this paper we present a study on the analogous properties of discrete and continuous Sturm-Liouville problems arising in matrix analysis and differential equations, respectively.
Kazem Ghanbari
doaj  

Inverse problems for a conformable fractional Sturm-Liouville operator

open access: yes, 2020
In this paper, a Sturm-Liouville boundary value problem which includes conformable fractional derivatives of order a, 0
Ozkan, Ahmet Sinan, Adalar, Ibrahim
core   +1 more source

Fractal Sturm-Liouville Problems

open access: yes
In this study, fractal Sturm-Liouville problems are considered. First, minimal and maximal operators corresponding to such problems are defined and a symmetric operator is obtained. Then Green's function is constructed and an eigenfunction expansion
Allahverdiev, Bilender P.   +2 more
core   +1 more source

Fractional Sturm-Liouville operators on compact star graphs

open access: yesDemonstratio Mathematica
In 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

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