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Issue Title
 
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
"... In this paper, we consider a family of Friedrichs models that arise in quantum mechanics ..."
 
Vol 3, No 6 (2012) On infinite number of negative eigenvalues of the Friedrichs model Abstract  similar documents
Yu. Kh. Eshkabilov
"... Изучен дискретный спектр самосопряженных операторов в модели Фридрихса с положительным ..."
 
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
"... In the paper we consider a tensor sum Hμ,λ,μ,λ  > 0 of two Friedrichs models hμ,λ with rank two ..."
 
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 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 generalized Friedrichs models. It is established that the essential spectrum of Aµ consists the union ..."
 
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
"... ), который описывает систему двух одинаковых бозонов на двумерной решётке Z2. Семейство операторов ..."
 
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
"... for the existence of Efimov’s effect for the Fredholm type partial integral operators. ..."
 
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 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 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 13, No 5 (2022) Inverse problem for Fredholm integro-differential equation with final redefinition conditions at the end of the interval Abstract  PDF (Eng)  similar documents
T. K. Yuldashev, S. K. Zarifzoda
"... Fredholm integro-differential equation with degenerate kernel, final conditions at the end of the interval ..."
 
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 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 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 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
 
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 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 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
 
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 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
"... This paper summarizes the main results of [1] for the spectral asymptotics of the damped wave ..."
 
Vol 6, No 6 (2015) An asymptotic analysis of a self-similar solution for the double nonlinear reaction-diffusion system Abstract  PDF (Eng)  similar documents
M. Aripov, Sh. Sadullaeva
 
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
"... described using 1D Shrodinger-Poisson Hamiltonians in the asymptotic regime of quantum wells. Taking ..."
 
Vol 13, No 1 (2022) Asymptotic analysis of a planar waveguide perturbed by a non periodic perforation Abstract  PDF (Eng)  similar documents
G. Cardone, T. Durante
 
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
 
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
 
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 10, No 5 (2019) Analytic description of the essential spectrum of a family of 3x3 operator matrices Abstract  PDF (Eng)  similar documents
T. H. Rasulov, N. A. Tosheva
 
Vol 14, No 1 (2023) An inversion formula for the weighted Radon transform along family of cones Abstract  PDF (Eng)  similar documents
M. I. Muminov, Z. Kh. Ochilov
"... В этой статье решается задача обращения весового преобразования Радона вдоль семейства конусов в ..."
 
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 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 8, No 3 (2017) On a problem for the loaded degenerating mixed type equation involving integral-differential operators Abstract  PDF (Eng)  similar documents
B. I. Islomov, O. Kh. Abdullayev, N. K. Ochilova
"... “The existence and uniqueness of solution” and “Solvability of the respectively Fredholm type integral equations ..."
 
Vol 14, No 1 (2023) Synthesis and thermal behavior of KCe2(PO4)3, a new full-member in the AIMIV2 (PO4)3 family Abstract  PDF (Eng)  similar documents
T. O. Kozlova, D. N. Vasilyeva, D. A. Kozlov, M. A. Teplonogova, A. E. Baranchikov, N. P. Simonenko, V. K. Ivanov
 
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 10, No 1 (2019) On the metric graph model for flows in tubular nanostructures Abstract  PDF (Eng)  similar documents
M. O. Smolkina, I. Y. Popov, I. V. Blinova, E. Milakis
"... and density in a cylinder of small radius. An equation for the main term of the asymptotics is obtained ..."
 
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 8, No 2 (2017) Zigzag chain model and its spectrum Abstract  PDF (Eng)  similar documents
A. S. Melikhova
"... . With the help of asymptotic study, we obtain the dependence of the spectrum structure on the geometrical ..."
 
Vol 15, No 6 (2024) Qualitative properties of the mathematical model of nonlinear cross-diffusion processes Abstract  PDF (Eng)  similar documents
S. Muminov, P. Agarwal, D. Muhamediyeva
"... such as asymptotic analysis, to obtain more accurate and reliable results. The study’s results can be applied ..."
 
Vol 14, No 1 (2023) Exact irregular solutions to radial Schrödinger equation for the case of hydrogen-like atoms Abstract  PDF (Eng)  similar documents
C. Parkash, W. C. Parke, P. Singh
"... to values closer to zero. The threshold and asymptotic behavior indicate that the regular solutions have ..."
 
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