Results 81 to 90 of about 1,275,970 (163)

Inverse spectral problems for Sturm–Liouville operators with partial information [PDF]

open access: yes, 2014
In this paper, we study the inverse spectral problems for Sturm–Liouville operators with Robin boundary conditions and show that if the potential q on the interval [0,α] for some α∈[0,1) is given a priori, then the potential q on the whole interval [0,1]
Wang, Yu-Ping; Shieh, Chung-Tsun; Ma, Yan-Ting   +1 more
core   +1 more source

An Inverse Spectral Problem for the Matrix Sturm-Liouville Operator with a Bessel-Type Singularity

open access: yesInternational Journal of Differential Equations, 2015
The inverse problem by the Weyl matrix is studied for the matrix Sturm-Liouville equation on a finite interval with a Bessel-type singularity in the end of the interval.
Natalia Bondarenko
doaj   +1 more source

Linear second-order problems with Sturm-Liouville-type multi-point boundary conditions

open access: yesElectronic 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  

Eigenstructure of nonselfadjoint complex discrete vector Sturm-Liouville problems

open access: yesAdvances in Difference Equations, 2005
We present a study of complex discrete vector Sturm-Liouville problems, where coefficients of the difference equation are complex numbers and the strongly coupled boundary conditions are nonselfadjoint.
Lucas Jódar, Rafael J. Villanueva
doaj   +1 more source

On an Inverse Scattering Problem for a Discontinuous Sturm-Liouville Equation with a Spectral Parameter in the Boundary Condition

open access: yesBoundary Value Problems, 2010
An inverse scattering problem is considered for a discontinuous Sturm-Liouville equation on the half-line [0,∞) with a linear spectral parameter in the boundary condition.
Khanlar R. Mamedov
doaj   +1 more source

Sturm-Liouville-Operatorfunktionen

open access: yes, 2016
Many special functions are solutions of both, a differential and a functional equation. We use this duality to solve a large class of abstract Sturm-Liouville equations, initiating a theory of Sturm-Liouville operator functions; cosine, Bessel, and ...
Früchtl, Felix Benedikt
core  

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