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Vol 7, No 5 (2016) On resonances and bound states of Smilansky Hamiltonian Abstract  PDF (Eng)  similar documents
P. Exner, V. Lotoreichik, M. Tater
"... in the weak coupling regime (ξ→ 0+). In the proofs we use Birman-Schwinger principle for Hξ ,elements ..."
 
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 10, No 6 (2019) Metric graph version of the FitzHugh–Nagumo model Abstract  PDF (Eng)  similar documents
E. G. Fedorov, A. I. Popov, I. Y. Popov
"... coupling. The model can be used for description of signal transmission in different nanostructures ..."
 
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 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 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 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
"... as a central ball linking three chains consisting of balls of the same radius. There is a δ-coupling condition ..."
 
Vol 15, No 1 (2024) Existence and uniqueness theorem for a weak solution of fractional parabolic problem by the Rothe method Abstract  PDF (Eng)  similar documents
Y. Bekakra, A. Bouziani
"... This paper aims to study the existence and uniqueness of a weak solution for the boundary value ..."
 
Vol 12, No 1 (2021) Weak polarization-optical responses of diluted magnetic nanofluid probed by laser radiation with polarization modulation Abstract  PDF (Eng)  similar documents
Ya. A. Fofanov, I. V. Pleshakov, A. V. Prokof’ev, E. E. Bibik
"... A sensitive laser registration of weak polarization-optical responses was used ..."
 
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 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 16, No 2 (2025) Quantum coupling between radio modes in a single-atom maser with two resonators Abstract  PDF (Eng)  similar documents
E. N. Popov, A. I. Trifanov, M. A. Moskalenko, V. A. Reshetov
"... In this work, we investigate the effect of quantum coupling between radio fields in a single-atom ..."
 
Vol 12, No 1 (2021) On the long-distance charge transport in DNA-like macromolecules Abstract  PDF (Eng)  similar documents
D. Chevizovich, A. V. Chizhov, Z. Ivić, A. A. Reshetnyak
 
Vol 8, No 3 (2017) Quantum graphs with the Bethe-Sommerfeld property Abstract  PDF (Eng)  similar documents
P. Exner, O. Turek
"... couplings together with commensurability of the graph edges. A finite and nonzero number of gaps is excluded ..."
 
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
"... of H(K) lying on the left of z, z < 0, satisfies the asymptotic relation lim z→−0 N (K, z)| log |z||−1 ..."
 
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
"... propagation of distributions (FSPD) and the asymptotic behavior of the weak solutions were studied ..."
 
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 14, No 2 (2023) Symmetry-based prediction of the type-II multiferroics with pyrochlore structure Abstract  PDF (Eng)  similar documents
V. M. Talanov, M. V. Talanov, V. B. Shirokov
"... ferroelectricity allowing trilinear coupling of polarization and two other antiferromagnetic order parameters ..."
 
Vol 6, No 1 (2015) A new model for quantum dot light emitting-absorbing devices: proofs and supplements Abstract  PDF (Eng)  similar documents
H. Neidhardt, L. Wilhelm, V. A. Zagrebnov
 
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 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 8, No 2 (2017) Coupling of definitizable operators in Kreın spaces Abstract  PDF (Eng)  similar documents
V. Derkach, C. Trunk
"... Indefinite Sturm–Liouville operators defined on R are often considered as a coupling of two ..."
 
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