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Issue Title
 
Vol 4, No 4 (2013): Special Issue. INTERNATIONAL CONFERENCE "MATHEMATICAL CHALLENGE OF QUANTUM TRANSPORT IN NANOSYSTEMS - 2013. PIERRE DUCLOS WORKSHOP" On the asymptotics of the principal eigenvalue for a Robin problem with a large parameter in planar domain Abstract  PDF (Eng)  similar documents
K. Pankrashkin
"... , and let ѵ denote the inward unit normal vector on Σ. We study the principal eigenvalue E(β ..."
 
Vol 6, No 1 (2015) On the Robin eigenvalues of the Laplacian in the exterior of a convex polygon Abstract  PDF (Eng)  similar documents
K. Pankrashkin
"... at @ , where is the outer unit normal. We show that, for any fixed m 2 N, the mth eigenvalue E m ( ) of H ..."
 
Vol 12, No 4 (2021) Dirac operator with different potentials on edges of quantum graph: resonance asymptotics Abstract  PDF (Eng)  similar documents
A. G. Belolipetskaia, I. Y. Popov
"... Asymptotics of resonances for the Dirac operator with different potentials on edges of a quantum ..."
 
Vol 9, No 4 (2018) Asymptotic analysis of thin viscous plate model Abstract  PDF (Eng)  similar documents
I. F. Melikhov, I. Y. Popov
"... in asymptotic expansion. The developed approach can be used for description of the cell membrane ..."
 
Vol 11, No 6 (2020) Resonance asymptotics for a pair quantum waveguides with common semitransparent perforated wall Abstract  PDF (Eng)  similar documents
A. M. Vorobiev, E. S. Trifanova, I. Y. Popov
"... localized near the window. Semitransparency is the reason for the asymptotics difference in comparison ..."
 
Vol 10, No 4 (2019) On formal asymptotic expansion of resonance for quantum waveguide with perforated semitransparent barrier Abstract  PDF (Eng)  similar documents
A. M. Vorobiev, A. S. Bagmutov, A. I. Popov
"... states localized near the barrier with the window. The asymptotics (in small parameter – the window width ..."
 
Vol 12, No 2 (2021) On the choice of parameters for a model of small window Abstract  PDF (Eng)  similar documents
A. S. Melikhova, M. P. Faleeva, I. Y. Popov
"... . The asymptotics far from the obstacle is obtained. The results can be useful for description of perforated ..."
 
Vol 6, No 1 (2015) Tunneling in multidimensional wells Abstract  PDF (Eng)  similar documents
T. F. Pankratova
"... A full asymptotic series for low eigenvalues and eigenfunctions of a stationary Schr¨odinger ..."
 
Vol 9, No 2 (2018) Approximation of eigenvalues of Schrodinger operators¨ Abstract  PDF (Eng)  similar documents
J. F. Brasche, R. Fulsche
"... . An algorithm for the numerical computation of eigenvalues of generalized Schrodinger operators in¨ L2(R ..."
 
Vol 4, No 4 (2013): Special Issue. INTERNATIONAL CONFERENCE "MATHEMATICAL CHALLENGE OF QUANTUM TRANSPORT IN NANOSYSTEMS - 2013. PIERRE DUCLOS WORKSHOP" Negative eigenvalues of the Y-type chain of weakly coupled ball resonators Abstract  PDF (Eng)  similar documents
A. S. Anikevich
"... at most one negative eigenvalue in the case of δ-coupling in contact points. ..."
 
Vol 9, No 2 (2018) N wells at a circle. Splitting of lower eigenvalues Abstract  PDF (Eng)  similar documents
T. F. Pankratova
"... divide a circle of radius r0 into N equal parts is considered. Some sufficient asymptotic formulae ..."
 
Vol 15, No 6 (2024) Boundary composed of small Helmholtz resonators: asymptotic approach Abstract  PDF (Eng)  similar documents
I. Y. Popov, E. S. Trifanova, A. S. Bagmutov, A. A. Lytaev
"... apertures tend to zero. We use the method of matching of asymptotic expansions of solutions. By directing ..."
 
Vol 12, No 4 (2021) Resonance asymptotics for quantum waveguides with semitransparent multi-perforated wall Abstract  PDF (Eng)  similar documents
A. M. Vorobiev
"... that of the single-window case. Using the “matching of asymptotic expansions” method, we derive formulas ..."
 
Vol 8, No 2 (2017) Asymptotic solution of ultrasonic near-field levitation problem Abstract  PDF (Eng)  similar documents
I. F. Melikhov
"... of tens of microns above sound actuator. We developed an asymptotic approach to describe the air dynamics ..."
 
Vol 15, No 1 (2024) Graph spectral analysis of nonane isomers Abstract  PDF (Eng)  similar documents
B. I. Andrew, A. Anuradha
"... parameters of all isomers of nonane C9H20 have been computed and its relationship with its eigenvalue-based ..."
 
Vol 14, No 4 (2023) Irreducible characters of the icosahedral group Abstract  PDF (Eng)  similar documents
S. Kanemitsu, J. Mehta, Y. Sun
 
Vol 11, No 3 (2020) Approximate analytical method for finding eigenvalues of Sturm-Liouville problem with generalized boundary condition of the third kind Abstract  PDF (Eng)  similar documents
V. D. Lukyanov, D. A. Bulekbaev, A. V. Morozov, L. V. Nosova
"... combination are polynomials of the boundary problem eigenvalue. A method of approximate analytical calculation ..."
 
Vol 9, No 2 (2018) Level crossings of eigenvalues of the Schrodinger Hamiltonian of the isotropic harmonic¨ oscillator perturbed by a central point interaction in different dimensions Abstract  PDF (Eng)  similar documents
S. Fassari, M. Gadella, M. L. Glasser, L. M. Nieto, F. matfa62@gmail.com
"... In this brief presentation, some striking differences between level crossings of eigenvalues ..."
 
Vol 8, No 2 (2017) Quasi-semidefinite eigenvalue problem and applications Abstract  PDF (Eng)  similar documents
L. Grubisic, J. Tambaca
"... In this note, we study the eigenvalue problem for a class of block operator matrix pairs. Our ..."
 
Vol 4, No 4 (2013): Special Issue. INTERNATIONAL CONFERENCE "MATHEMATICAL CHALLENGE OF QUANTUM TRANSPORT IN NANOSYSTEMS - 2013. PIERRE DUCLOS WORKSHOP" The conuctivity low energy asymptotics for monolayer graphene Abstract  PDF (Eng)  similar documents
N. E. Firsova
"... for δ-shell potential allowed us to study the asymptotic behavior of such scattering data as scattering ..."
 
Vol 14, No 5 (2023) On the spectrum of the two-particle Schrödinger operator with point potential: one dimensional case Abstract  PDF (Eng)  similar documents
U. N. Kuljanov
"... of unique negative eigenvalue of the Schr¨odinger operator is proved. Further, this eigenvalue ..."
 
Vol 14, No 5 (2023) On the discrete spectrum of the Schrödinger operator using the 2+1 fermionic trimer on the lattice Abstract  PDF (Eng)  similar documents
A. M. Khalkhuzhaev, I. A. Khujamiyorov
"... ), then the operator H; (0) has no eigenvalues. If  2 ( 1; 2), then the operator H; (0) has a unique eigenvalue ..."
 
Vol 13, No 3 (2022) Conditions for the existence of bound states of a two-particle Hamiltonian on a three-dimensional lattice Abstract  PDF (Eng)  similar documents
M. I. Muminov, A. M. Khurramov, I. N. Bozorov
"... interacting via some attractive potential is considered. Conditions for the existence of eigenvalues ..."
 
Vol 14, No 3 (2023) The first Schur complement for a lattice spin-boson model with at most two photons Abstract  PDF (Eng)  similar documents
T. Rasulov, E. Dilmurodov
"... properties of S1(_) related to the number of eigenvalues of A2 for all dimensions d of the torus Td ..."
 
Vol 14, No 3 (2023) On eigenvalues and virtual levels of a two-particle Hamiltonian on a d-dimensional lattice Abstract  PDF (Eng)  similar documents
M. I. Muminov, A. M. Khurramov, I. N. Bozorov
"... . The existence conditions of eigenvalues and virtual levels of h_(k); are investigated in detail with respect ..."
 
Vol 12, No 6 (2021) Monotonicity of the eigenvalues of the two-particle Schrӧdinger operator on a lattice Abstract  PDF (Eng)  similar documents
J. I. Abdullaev, A. M. Khalkhuzhaev, L. S. Usmonov
"... on the three-dimensional lattice Z3. It is proved that the number N(k) ≡ N(k(1),k(2),k(3)) of eigenvalues below ..."
 
Vol 7, No 5 (2016) On direct and inverse spectral problems for sloshing of a two-layer fluid in an open container Abstract  PDF (Eng)  similar documents
N. G. Kuznetsov
"... We study the direct and inverse eigenvalue problems for a pair of harmonic functions ..."
 
Vol 10, No 2 (2019) Numerical solution for the Schrodinger equation with potential in graphene structures Abstract  PDF (Eng)  similar documents
L. A. Nhat
"... This paper presents a different numerical solution to compute eigenvalues of the Schrodinger ..."
 
Vol 10, No 6 (2019) Threshold analysis for a family of 2 × 2 operator matrices Abstract  PDF (Eng)  similar documents
T. H. Rasulov, E. B. Dilmurodov
"... )) ( or z = 27/2 = max/k∈T3 σess(Aµ(k)) is a threshold eigenvalue or a virtual level of Aµ(k(i)) for some k ..."
 
Vol 7, No 5 (2016) On resonances and bound states of Smilansky Hamiltonian Abstract  PDF (Eng)  similar documents
P. Exner, V. Lotoreichik, M. Tater
 
Vol 5, No 5 (2014) On the number of eigenvalues of the family of operator matrices Abstract  PDF (Eng)  similar documents
M. I. Muminov, T. H. Rasulov
"... to establish the existence of infinitely many eigenvalues of H(K) for all K ∈ Λ when the associated Friedrichs ..."
 
Vol 8, No 1 (2017) Self-similar solutions of a cross-diffusion parabolic system with variable density: explicit estimates and asymptotic behaviour Abstract  PDF (Eng)  similar documents
M. M. Aripov, A. S. Matyakubov
"... . The asymptotic behavior of self-similar solutions are analyzed for both the slow and fast diffusive regimes ..."
 
Vol 8, No 3 (2017) To the qualitative properties of solution of system equations not in divergence form of polytrophic filtration in variable density Abstract  PDF (Eng)  similar documents
M. Aripov, A. S. Matyakubov
"... for nonlinear parabolic equations, and systems of equations in divergence form, asymptotic theory and asymptotic ..."
 
Vol 9, No 3 (2018) On the behavior of the solution of a nonlinear polytropic filtration problem with a source and multiple nonlinearities Abstract  PDF (Eng)  similar documents
Z. R. Rakhmonov, A. I. Tillaev
"... and critical Fujita exponent of nonlinear filtration problem in inhomogeneous medium. An asymptotic ..."
 
Vol 6, No 2 (2015) Universality of the discrete spectrum asymptotics of the three-particle Schrödinger operator on a lattice Abstract  PDF (Eng)  similar documents
M. I. Muminov, T. H. Rasulov
"... ∈ Λ, the number N(K; z) of eigenvalues of H(K) lying on the left of z, z < 0, satisfies the asymptotic ..."
 
Vol 14, No 5 (2023) Boundary value problem for a degenerate equation with a Riemann–Liouville operator Abstract  PDF (Eng)  similar documents
B. Yu. Irgashev
 
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