Results 111 to 120 of about 5,326 (220)

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  

An Extension of a Formula of F. S. Rofe-Beketov

open access: yesMathematics
We address the following problem in this study: given a nontrivial solution, y1, of a four-coefficient Sturm–Liouville eigenvalue differential equation, construct a second solution, y2, linearly independent of y1.
Fritz Gesztesy, Roger Nichols
doaj   +1 more source

Laguerre Wavelet Approach for a Two-Dimensional Time-Space Fractional Schrödinger Equation. [PDF]

open access: yesEntropy (Basel), 2022
Bekiros S   +5 more
europepmc   +1 more source

Non-trivial solutions for two-point boundary-value problems of fourth-order Sturm-Liouville type equations

open access: yesElectronic Journal of Differential Equations, 2012
Using critical point theory due to Bonanno [3], we prove the existence of at least one non-trivial solution for a class of two-point boundary-value problems for fourth-order Sturm-Liouville type equations.
Shapour Heidarkhani
doaj  

On Hochstadt-Lieberman Theorem For Sturm-Liouville Operators

open access: yes, 2011
The inverse spectral problem of the Sturm-Liouville operator Lq = -d2/dx2 +q(x) is considered, where q(x) is an integrable function on (0,1).
Shieh, Chung-tsun; Buterin, S. A.; Ignatiev, Mikhail   +1 more
core  

Sturm-Liouville eigenfunctions expressed in determinant form [PDF]

open access: yes, 1991
The purpose of this thesis is to investigate and establish Sturm- Liouville properties for special eigenfunctions which are expressed in determinant form.
Phillips, Michael D.
core  

Inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction

open access: yesElectronic Journal of Differential Equations, 2015
In this article, we study the inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction. We obtain uniqueness, reconstruction and stability using the nodal set of eigenfunctions for the given ...
Manaf Dzh. Manafov, Abdullah Kablan
doaj  

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