Spectral asymptotics in eigenvalue problems with nonlinear dependence on the spectral parameter

Dmitri V Fursaev

doi:10.1088/0264-9381/19/14/306

Spectral asymptotics in eigenvalue problems with nonlinear dependence on the spectral parameter

Classical and Quantum Gravity ◽

10.1088/0264-9381/19/14/306 ◽

2002 ◽

Vol 19 (14) ◽

pp. 3635-3652 ◽

Cited By ~ 7

Author(s):

Dmitri V Fursaev

Keyword(s):

Spectral Parameter ◽

Eigenvalue Problems ◽

Spectral Asymptotics ◽

Nonlinear Dependence

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Spectral asymptotics in eigenvalue problems with nonlinear dependence on the spectral parameter

Classical and Quantum Gravity ◽

10.1088/0264-9381/20/3/501 ◽

2003 ◽

Vol 20 (3) ◽

pp. 565-565 ◽

Cited By ~ 3

Author(s):

Dmitri V Fursaev

Keyword(s):

Spectral Parameter ◽

Eigenvalue Problems ◽

Spectral Asymptotics ◽

Nonlinear Dependence

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Renormalized oscillation theory for symplectic eigenvalue problems with nonlinear dependence on the spectral parameter

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2020.1748020 ◽

2020 ◽

Vol 26 (4) ◽

pp. 458-487

Author(s):

Julia Elyseeva

Keyword(s):

Spectral Parameter ◽

Eigenvalue Problems ◽

Oscillation Theory ◽

Nonlinear Dependence ◽

Symplectic Eigenvalue

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Solution of Eigenvalue Problems for Linear Hamiltonian Systems with a Nonlinear Dependence on the Spectral Parameter

Mechanics of Solids ◽

10.3103/s0025654418050059 ◽

2018 ◽

Vol 53 (S2) ◽

pp. 118-132

Author(s):

A. A. Gavrikov

Keyword(s):

Hamiltonian Systems ◽

Spectral Parameter ◽

Eigenvalue Problems ◽

Nonlinear Dependence ◽

Linear Hamiltonian Systems

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Oscillation theorems for linear Hamiltonian systems with nonlinear dependence on the spectral parameter and the comparative index

Applied Mathematics Letters ◽

10.1016/j.aml.2018.10.007 ◽

2019 ◽

Vol 90 ◽

pp. 15-22 ◽

Cited By ~ 3

Author(s):

Julia Elyseeva

Keyword(s):

Hamiltonian Systems ◽

Spectral Parameter ◽

Nonlinear Dependence ◽

Linear Hamiltonian Systems ◽

Oscillation Theorems

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Eigenvalue Problems for Elliptic Type Partial Differential Operators with Spectral Parameter Contained Linearly in Boundary Conditions

Partial Differential and Integral Equations - International Society for Analysis, Applications and Computation ◽

10.1007/978-1-4613-3276-3_24 ◽

1999 ◽

pp. 319-333 ◽

Cited By ~ 1

Author(s):

Boris Belinskiy

Keyword(s):

Boundary Conditions ◽

Spectral Parameter ◽

Differential Operators ◽

Eigenvalue Problems ◽

Elliptic Type ◽

Partial Differential ◽

Partial Differential Operators

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Error estimates of the finite difference method for eigenvalue problems with nonlinear entrance of the spectral parameter

Journal of Physics Conference Series ◽

10.1088/1742-6596/1158/4/042020 ◽

2019 ◽

Vol 1158 ◽

pp. 042020

Author(s):

S I Solov’ev ◽

P S Solov’ev

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Error Estimates ◽

Spectral Parameter ◽

Difference Method ◽

Eigenvalue Problems ◽

The Finite Difference Method

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Numerical solution of vector Sturm-Liouville problems with a nonlinear dependence on the spectral parameter

10.1063/1.4992715 ◽

2017 ◽

Cited By ~ 4

Author(s):

Alexander Gavrikov

Keyword(s):

Numerical Solution ◽

Spectral Parameter ◽

Nonlinear Dependence ◽

Sturm Liouville

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Oscillation and spectral theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter

Mathematische Nachrichten ◽

10.1002/mana.201100172 ◽

2012 ◽

pp. n/a-n/a ◽

Cited By ~ 1

Author(s):

Martin Bohner ◽

Werner Kratz ◽

Roman Šimon Hilscher

Keyword(s):

Spectral Theory ◽

Hamiltonian Systems ◽

Spectral Parameter ◽

Nonlinear Dependence ◽

Linear Hamiltonian Systems

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On an inverse scattering problem for a class Dirac operator with discontinuous coefficient and nonlinear dependence on the spectral parameter in the boundary condition

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2553 ◽

2012 ◽

Vol 35 (14) ◽

pp. 1712-1720 ◽

Cited By ~ 5

Author(s):

Kh.R. Mamedov ◽

Aynur Çöl

Keyword(s):

Boundary Condition ◽

Dirac Operator ◽

Inverse Scattering ◽

Spectral Parameter ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Discontinuous Coefficient ◽

Nonlinear Dependence

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Discrete oscillation theorems and weighted focal points for Hamiltonian difference systems with nonlinear dependence on a spectral parameter

Applied Mathematics Letters ◽

10.1016/j.aml.2014.12.003 ◽

2015 ◽

Vol 43 ◽

pp. 114-119 ◽

Cited By ~ 4

Author(s):

O. Došlý ◽

J. Elyseeva

Keyword(s):

Spectral Parameter ◽

Nonlinear Dependence ◽

Focal Points ◽

Difference Systems ◽

Oscillation Theorems

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