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Issue Title
 
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
"... constant  , let H   denote the Laplacian in , u 7! 􀀀u, with the Robin boundary conditions @u=@ =  u ..."
 
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
"... ) of the Laplacian in Ω with the Robin boundary conditions მ(f)/∂(ѵ)+β(f)= 0 on Σ, where β is a positive number ..."
 
Vol 15, No 5 (2024) Eccentricity Laplacian energy of a graph Abstract  PDF (Eng)  similar documents
A. Harshitha, S. Nayak, S. D’Souza
"... are the eigenvalues of the eccentricity Laplacian matrix, then the eccentricity Laplacian energy of G is ELE(G) = Xn i ..."
 
Vol 3, No 3 (2012) Variational estimations of the eigenvalues for 3D quantum waveguides in a transverse electric field Abstract  PDF (Eng)  similar documents
D. G. Matveev, I. Yu. Popov
"... It is shown that an eigenvalue of the Laplacian exists below the continuous spectrum for a system ..."
 
Vol 13, No 2 (2022) On the discrete spectrum of a quantum waveguide with Neumann windows in presence of exterior field Abstract  PDF (Eng)  similar documents
A. S. Bagmutov, H. . Najar, I. F. Melikhov, I. Y. Popov
"... that such system has eigenvalues below the lower bound of the essential spectrum for any F ≥ 0. Then we closer ..."
 
Vol 13, No 1 (2022) A model of sheared nanoribbons Abstract  PDF (Eng)  similar documents
Ph. Briet
"... In this note, we investigate the spectral properties of the Dirichlet Laplacian defined ..."
 
Vol 7, No 2 (2016): Special Issue Laplacians with singular perturbations supported on hypersurfaces Abstract  PDF (Eng)  similar documents
A. Mantile, A. Posilicano
"... self-adjoint realizations of the n-dimensional Laplacian with linear boundary conditions ..."
 
Vol 4, No 4 (2013): Special Issue. INTERNATIONAL CONFERENCE "MATHEMATICAL CHALLENGE OF QUANTUM TRANSPORT IN NANOSYSTEMS - 2013. PIERRE DUCLOS WORKSHOP" Diffusion and laplacian transport for absorbing domains Abstract  PDF (Eng)  similar documents
I. Baydoun, V. A. Zagrebnov
"... We study (stationary) Laplacian transport by the Dirichlet-to-Neumann formalism. Our results ..."
 
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 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 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 3, No 6 (2012) On infinite number of negative eigenvalues of the Friedrichs model Abstract  similar documents
Yu. Kh. Eshkabilov
 
Vol 9, No 2 (2018) N wells at a circle. Splitting of lower eigenvalues Abstract  PDF (Eng)  similar documents
T. F. Pankratova
 
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 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 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 12, No 5 (2021) Bound states for Laplacian perturbed by varying potential supportedby line in R3 Abstract  PDF (Eng)  similar documents
A. S. Bagmutov
 
Vol 3, No 4 (2012) Hamiltonian with zero-range potentials having infinite number of eigenvalues Abstract  similar documents
A. A. Boitsev, I. Yu. Popov, O. V. Sokolov
 
Vol 14, No 2 (2023) Existence of the eigenvalues of a tensor sum of the Friedrichs models with rank 2 per turbation Abstract  PDF (Eng)  similar documents
T. H. Rasulov, B. I. Bahronov
"... lattice. We investigate the number and location of the eigenvalues of Hμ,λ. The existence of eigenvalues ..."
 
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 16, No 6 (2025) On the existence of the maximum number of isolated eigenvalues for a lattice Schrödinger operator Abstract  PDF (Eng)  similar documents
S. N. Lakaev, D. A. Latipova, M. O. Akhmadova
"... eigenvalues that lie either below the bottom or above the top of its essential spectrum, over all K ∈ T2. ..."
 
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 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 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 16, No 5 (2025) Asymptotic expansion of Fredholm determinant associated to a family of Friedrichs models arising in quantum mechanics Abstract  PDF (Eng)  similar documents
T. Rasulov, G. Umirkulova
"... , and existence conditions of eigenvalues of this family were analyzed. An asymptotic expansion for the associated ..."
 
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 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 16, No 5 (2025) Nonlinear optimal control problem in a two-point boundary regime for a pseudoparabolic equation with Samarskii–Ionkin type conditions Abstract  PDF (Eng)  similar documents
T. K. Yuldashev, B. J. Kadirkulov, A. T. Ramazanova, Zh. Zh. Shermamatov
"... and eigenvalues, eigenfunctions and optimality conditions are found. Loaded nonlinear functional equations ..."
 
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
 
Vol 8, No 3 (2017) Finiteness of discrete spectrum of the two-particle Schrodinger operator on diamond lattices Abstract  PDF (Eng)  similar documents
M. I. Muminov
"... a sufficiency condition of finiteness for discrete spectrum eigenvalues of H. ..."
 
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
"... the number of attached small resonators to infinity, we obtain a problem for the Laplacian in the main square ..."
 
Vol 12, No 2 (2021) Non-compact perturbations of the spectrum of multipliers given with functions Abstract  PDF (Eng)  similar documents
R. R. Kucharov, R. R. Khamraeva
"... . Precise description of the essential spectrum and the existence of simple eigenvalue is received. We prove ..."
 
Vol 8, No 2 (2017) Waveguides with fast oscillating boundary Abstract  PDF (Eng)  similar documents
G. Cardone
"... impose Dirichlet, Neumann or Robin boundary conditions assuming that both the period and the amplitude ..."
 
Vol 16, No 5 (2025) Spectral analysis of two-particle Hamiltonians with short-range interactions Abstract  PDF (Eng)  similar documents
M. O. Akhmadova, M. A. Azizova
"... . To elucidate the mechanisms of eigenvalue birth and annihilation for Hea λµ(0), we define a critical operator ..."
 
Vol 4, No 4 (2013): Special Issue. INTERNATIONAL CONFERENCE "MATHEMATICAL CHALLENGE OF QUANTUM TRANSPORT IN NANOSYSTEMS - 2013. PIERRE DUCLOS WORKSHOP" Efimov’s effect for partial integral operators of Fredholm type Abstract  PDF (Eng)  similar documents
Yu. Kh. Eshkabilov, R. R. Kucharov
"... We study the existence of an infinite number of eigenvalues (the existence of Efimov’s effect ..."
 
Vol 13, No 3 (2022) Ladder operators approach to representation classi cation problem for Jordan-Schwinger image of su(2) algebra Abstract  PDF (Eng)  similar documents
G. V. Tushavin, E. V. Zaitseva, A. I. Trifanov
"... The eigenvalues of the complete commuting set of self-adjoint operators determine the classi ..."
 
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
"... for a quantum graph that consists of a compact interior and a finite number of exterior edges of infinite length ..."
 
Vol 15, No 3 (2024) Energy and spectral radius of Zagreb matrix of graph with applications Abstract  PDF (Eng)  similar documents
Sh. S. Shetty, K. A. Bhat
"... vertex, if the corresponding vertices are adjacent in Γ, and zero otherwise. The Zagreb eigenvalues of Γ ..."
 
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
"... the operator H(K) has infinitely many negative eigenvalues accumulating at zero. It is found that for every K ..."
 
Vol 7, No 5 (2016) Spectral properties of a two–particle hamiltonian on a d-dimensional lattice Abstract  PDF (Eng)  similar documents
M. I. Muminov, A. M. Khurramov
"... attractive potential is considered. The number of eigenvalues of the family h(k) is studied depending ..."
 
Vol 6, No 2 (2015) An introduction to the spectral asymptotics of a damped wave equation on metric graphs Abstract  PDF (Eng)  similar documents
J. Lipovsk´y
"... equation. We define the notion of a high frequency abscissa, a sequence of eigenvalues with imaginary parts ..."
 
Vol 13, No 3 (2022) Spectral gaps for star-like quantum graph and for two coupled rings Abstract  PDF (Eng)  similar documents
I. V. Blinova, A. I. Popov, A. A. Bosova
"... the second and the rst eigenvalues of the free Schro¨ dinger operator, is studied. The dependence of the gap ..."
 
Vol 15, No 4 (2024) The point spectrum of the three-particle Schr ¨odinger operator for a system comprising two identical bosons and one fermion on Z. Abstract  PDF (Eng)  similar documents
Z. I. Muminov, V. U. Aktamova
"... which possesses infinitely many eigenvalues depending on repulsive or attractive interactions, under ..."
 
Vol 8, No 2 (2017) The behaviour of the three-dimensional Hamiltonian −∆ + λ [δ(x + x0) + δ(x − x0)] as the distance between the two centres vanishes Abstract  PDF (Eng)  similar documents
S. Albeverio, S. Fassari, F. Rinaldi
"... in the norm resolvent sense to that of the negative three-dimensional Laplacian perturbed by a single ..."
 
Vol 2, No 2 (2011) Localization of bending vibrations in the single-wall carbon nanotubes Abstract  PDF (Eng)  similar documents
V. V. Smirnov, D. S. Shepelev, L. I. Manevitch
"... tendency to localization of oscillation is the common property of the systems, the eigenvalue spectra ..."
 
Vol 4, No 2 (2013) Multi particle states calculations and particles storage in perturbed nanolayers Abstract  PDF (Eng)  similar documents
S. I. Popov
"... of nanolayers can lead to the appearanceof eigenvalues of the corresponding one-particle Hamiltonian. To study ..."
 
Vol 4, No 4 (2013): Special Issue. INTERNATIONAL CONFERENCE "MATHEMATICAL CHALLENGE OF QUANTUM TRANSPORT IN NANOSYSTEMS - 2013. PIERRE DUCLOS WORKSHOP" Hartree-Fock approximation for the problem of particle storage in deformed nanolayer Abstract  PDF (Eng)  similar documents
I. F. Melikhov, I. Yu. Popov
"... means that the corresponding Hamiltonian will have eigenvalues. To treat a multi-particle problem ..."
 
Vol 12, No 4 (2021) On Sombor energy of graphs Abstract  PDF (Eng)  similar documents
K. J. Gowtham, Narahari Narasimha Swamy
"... = 0.976. Further, we found some bounds and characterizations on the largest eigenvalue of S(G ..."
 
Vol 11, No 2 (2020) Analysis of the spectrum of a 2×2 operator matrix. Discrete spectrum asymptotics Abstract  PDF (Eng)  similar documents
T. H. Rasulov, E. B. Dilmurodov
"... of the coupling constant µ we establish the existence of infinitely many eigenvalues, which are located ..."
 
Vol 9, No 2 (2018) Cyclic-periodic ZRP structures. Scattering problem for generalized Bloch functions and conductivity Abstract  PDF (Eng)  similar documents
S. Leble
"... Hamiltonian with a system of a nanostructure ZRPs is found from the matrix eigenvalue problem. The scattering ..."
 
Vol 2, No 2 (2011) Simulation of elastic and plastic properties of polymeric composites with silicate lamellar nanofiller Abstract  PDF (Eng)  similar documents
O. K. Garishin, S. N. Lebedev
"... inclusion in dependence on its orientation to a exterior load direction and properties of a matrix ..."
 
Vol 6, No 1 (2015) A linearized model of quantum transport in the asymptotic regime of quantum wells Abstract  PDF (Eng)  similar documents
A. Mantile
"... to identify the resonances with the eigenvalues of a deformed operator. Then, the adiabatic evolution problem ..."
 
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