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Method of oscillation and spectral problem for four-order differential operator with self-similar weight
Method of oscillation spectral problem self-similar weight
2011/9/20
Abstract: Self-adjoint boundary problems for the equation $y^{(4)}-\lambda\rho y=0$ with generalized derivative $\rho\in W_2^{-1}[0,1]$ of self-similar Cantor type function as a weight are considered....
Perfect transmission scattering as a PT-symmetric spectral problem
Perfect transmission scattering PT-symmetric spectral problem
2010/11/23
We establish that a perfect-transmission scattering problem can be described by a class of parity and time reversal symmetric operators and hereby we provide a scenario for understanding and implemen...
Homogenization of spectral problem on Riemannian manifold consisting of two domains connected by many tubes
spectral problem Riemannian manifold consisting
2010/11/22
The paper deals with the asymptotic behavior as $\eps\to 0$ of the spectrum of Laplace-Beltrami operator $\Delta\e$ on the Riemannian manifold $M\e$ ($\mathrm{\dim} M\e=N\geq 2$) depending on a small ...
Regularization of the spectral problem for the monolayer graphene with the separable in the angular momentum representation singular potential of defect
Regularization of the spectral problem separable
2010/11/18
The electronic states in the monolayer graphene with the short-range perturbation asymmetric
with respect to the band index are analized. The study was made for the separable in the angular momentum ...
A Discrete Spectral Problem and Related Hierarchy of
Discrete Hamiltonian Lattice Equations
lattice soliton equation zero curvature representation
Hamiltonian structure Liouville integrability
2007/8/15
2007Vol.48No.2pp.193-198DOI:
A Discrete Spectral Problem and Related Hierarchy of
Discrete Hamiltonian Lattice Equations
XU Xi-Xiang1 and CAO Wei-Li2
1 College of Scienc...
Hamiltonian Systems and Darboux Transformation Associated
with a 3×3 Matrix Spectral Problem
nonlinear equations Hamiltonian system symmetry constraint Darboux transformation
2007/8/15
2007Vol.48No.2pp.205-210DOI:
Hamiltonian Systems and Darboux Transformation Associated
with a 3×3 Matrix Spectral Problem
LUO Lin1,2 and FAN En-Gui2
1 Department of Mat...