Results 131 to 140 of about 567,385 (243)

Sturm-liouville operators with discontinuoities inside a finite interval and inverse problems

open access: yes, 2006
Fen Bilimleri Enstitüsü, Matematik Ana Bilim DalıBu çalışma ikinci mertebeden diferansiyel operatOrlerin spektral teorisine aittir. Sunduğumuz çalışmada Bir arahkta süreksizliğe sahip Sturm-Liouville operatörleri ve ters problemi incelenmiştir.
Ergün, Abdullah
core   +1 more source

The Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators

open access: yesAnnales Mathematicae Silesianae
In this study, the resolvent of the impulsive singular Hahn–Sturm– Liouville operator is considered. An integral representation for the resolvent of this operator is obtained.
Allahverdiev Bilender P.   +2 more
doaj   +1 more source

Positive solutions for multipoint boundary-value problem with parameters

open access: yesElectronic Journal of Differential Equations, 2008
In this paper, we study a generalized Sturm-Liouville boundary-value problems with two positive parameters. By constructing a completely continuous operator and combining fixed point index theorem and some properties of the eigenvalues of linear ...
Zhongli Wei, Juanjuan Xu
doaj  

Spectral function for a nonsymmetric differential operator on the half line

open access: yesElectronic Journal of Differential Equations, 2017
In this article we study the spectral function for a nonsymmetric differential operator on the half line. Two cases of the coefficient matrix are considered, and for each case we prove by Marchenko's method that, to the boundary value problem, there ...
Wuqing Ning
doaj  

Transformation Operator for Sturm-Liouville Operators with Growing Potentials

open access: yesAzerbaijan Journal of Mathematics
Summary: This paper considers a pair of Sturm-Liouville operators \(A=- \frac{d^2}{dx^2}+cx^{\alpha}\) and \(B=-\frac{d^2}{dx^2}+cx^{\alpha}+q(x)\) on the semi-axis \([0,\infty), c=const, \alpha \geq 1\). A transformation operator with a condition at infinity is constructed for the operators \(A\) and \(B\).
Orudzhev, E. G., Rzayeva, G. F.
openaire   +2 more sources

Multi-interval Sturm–Liouville boundary-value problems with distributional potentials

open access: yesДоповiдi Нацiональної академiї наук України
We study the multi-interval boundary-value Sturm–Liouville problems with distributional potentials. For the corresponding symmetric operators boundary triplets are found and the constructive descriptions of all self-adjoint, maximal dissipative and ...
A. S. Goriunov
doaj   +1 more source

Spectral properties of non-local uniformly-elliptic operators [PDF]

open access: yes, 2006
In this paper we consider the spectral properties of a class of non-local uniformly elliptic operators, which arise from the study of non-local uniformly elliptic partial differential equations. Such equations arise naturally in the study of a variety of
Niall Dodds   +3 more
core  

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