About the Storm-Liouville operator with negative parameter in space L2(R)

Ye. N. Bayandiyev;

doi:10.47533/2020.1606-146x.82

About the Storm-Liouville operator with negative parameter in space L2(R)

Bulletin of the National Engineering Academy of the Republic of Kazakhstan ◽

10.47533/2020.1606-146x.82 ◽

2021 ◽

Vol 80 (2) ◽

pp. 34-40

Author(s):

Ye. N. Bayandiyev ◽

Keyword(s):

Unbounded Domain ◽

Liouville Operator ◽

Negative Parameter

In this paper, the question of the existence of a resolvent is studied, and also, after closure in space, the smoothness of functions from the domain of an operator of the unbounded type in an unbounded domain with coefficients strongly increasing at infinity is investigated.

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A Sturm-Liouville Operator with a Negative Parameter and Its Applications to the Study of Differential Properties of Solutions for a Class of Hyperbolic Type Equations

Springer Proceedings in Mathematics & Statistics - Functional Analysis in Interdisciplinary Applications ◽

10.1007/978-3-319-67053-9_24 ◽

2017 ◽

pp. 258-266

Author(s):

Mussakan B. Muratbekov ◽

Madi M. Muratbekov ◽

Asijat N. Dadaeva

Keyword(s):

Liouville Operator ◽

Hyperbolic Type ◽

Sturm Liouville ◽

Differential Properties ◽

Negative Parameter

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Dependence rate of equiconvergence on the module of continuity of potential of the Sturm--Liouville operator

Studia Scientiarum Mathematicarum Hungarica ◽

10.1556/sscmath.41.2004.3.7 ◽

2004 ◽

Vol 41 (3) ◽

pp. 347-378

Author(s):

V., M. Kurbanov

Keyword(s):

Liouville Operator ◽

Sturm Liouville

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Regularized Trace for N-Dimensional Vectorial Sturm-Liouville Operator and Its Application in the Inverse Spectral Problem

Acta Analysis Functionalis Applicata ◽

10.3724/sp.j.1160.2010.00137 ◽

2010 ◽

Vol 12 (2) ◽

pp. 137-142

Author(s):

Chuanfu YANG ◽

Zhenyou HUANG

Keyword(s):

Spectral Problem ◽

Liouville Operator ◽

Inverse Spectral Problem ◽

Regularized Trace ◽

Sturm Liouville ◽

Inverse Spectral

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Correction terms to the λ2t-limit of van Hove by the Liouville operator method

Physica A Statistical Mechanics and its Applications ◽

10.1016/0378-4371(86)90134-2 ◽

1986 ◽

Vol 139 (2-3) ◽

pp. 505-525 ◽

Cited By ~ 13

Author(s):

Daniel Loss

Keyword(s):

Liouville Operator ◽

Operator Method ◽

Correction Terms

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Some Remarks Concerning the Scattering Theory for the Sturm–Liouville Operator

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-020-09922-8 ◽

2021 ◽

Author(s):

Luca Zampogni

Keyword(s):

Liouville Operator ◽

Scattering Theory ◽

Sturm Liouville

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The Schatten–von Neumann class associated with the Gabor–Riemann–Liouville operator

Periodica Mathematica Hungarica ◽

10.1007/s10998-021-00379-w ◽

2021 ◽

Author(s):

Aymen Hammami

Keyword(s):

Liouville Operator ◽

Von Neumann ◽

Neumann Class

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Local absorbing boundary conditions for two‐dimensional nonlinear Schrödinger equation with wave operator on unbounded domain

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7703 ◽

2021 ◽

Author(s):

Hongwei Li

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Unbounded Domain ◽

Wave Operator ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Absorbing Boundary Conditions ◽

Two Dimensional ◽

Absorbing Boundary

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Ambarzumyan-type theorem for the impulsive Sturm–Liouville operator

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jiip-2020-0076 ◽

2020 ◽

Vol 0 (0) ◽

Author(s):

Ran Zhang ◽

Chuan-Fu Yang

Keyword(s):

Liouville Operator ◽

Type Theorem ◽

Sturm Liouville ◽

Neumann Laplacian ◽

Neumann Eigenvalues

AbstractWe prove that if the Neumann eigenvalues of the impulsive Sturm–Liouville operator {-D^{2}+q} in {L^{2}(0,\pi)} coincide with those of the Neumann Laplacian, then {q=0}.

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