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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 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 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
"... A metric graph model is suggested for the Stokes flow concentrated in the vicinity of a network ..."
 
Vol 8, No 4 (2017) Time dependent quantum graph with loop Abstract  PDF (Eng)  similar documents
D. A. Eremin, E. N. Grishanov, O. G. Kostrov, D. S. Nikiforov, I. Y. Popov
"...    A quantum graph, consisting of a ring and segment is considered. We deal with the free Schr ..."
 
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
"... The FitzHugh–Nagumo model on a metric graph is studied. System of delayed differential equations ..."
 
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 15, No 5 (2024) Eccentricity Laplacian energy of a graph Abstract  PDF (Eng)  similar documents
A. Harshitha, S. Nayak, S. D’Souza
"... Let G be a simple, finite, undirected and connected graph. The eccentricity of a vertex v ..."
 
Vol 12, No 4 (2021) On Sombor energy of graphs Abstract  PDF (Eng)  similar documents
K. J. Gowtham, Narahari Narasimha Swamy
"... The concept of Sombor index SO(G) was recently introduced by Gutman in the chemical graph theory ..."
 
Vol 6, No 2 (2015) Time-dependent quantum graph Abstract  PDF (Eng)  similar documents
D. U. Matrasulov, J. R. Yusupov, K. K. Sabirov, Z. A. Sobirov
"... In this paper, we study quantum star graphs with time-dependent bond lengths. Quantum dynamics ..."
 
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 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" 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 6, No 6 (2015) From \fat" graphs to metric graphs: the problem of boundary conditions Abstract  PDF (Eng)  similar documents
G. F. Dell’Antonio, A. Michelangeli
"... graph emerge when the dynamics is regarded as a limit of the dynamics in a tubular region around ..."
 
Vol 15, No 4 (2024) Quantum graph as a benchmark for persistent current. Abstract  PDF (Eng)  similar documents
I. Y. Popov, A. I. Popov, P. A. Gilev, A. Chatterjee
"... for improvement of the persistence current measurement procedure. The consideration is based on the quantum graph ..."
 
Vol 15, No 1 (2024) Graph spectral analysis of nonane isomers Abstract  PDF (Eng)  similar documents
B. I. Andrew, A. Anuradha
"... chemical formula but different structural arrangement. Due to this, their corresponding molecular graphs ..."
 
Vol 6, No 6 (2015) Kicked particle dynamics in quantum graphs Abstract  PDF (Eng)  similar documents
J. Yusupov, V. Eshniyozov, O. Karpova, D. Sh. Saidov
 
Vol 6, No 6 (2015) Linearized KdV equation on a metric graph Abstract  PDF (Eng)  similar documents
Z. A. Sobirov, M. I. Akhmedov, O. V. Karpova, B. Jabbarova
"... We address a linearized KdV equation on metric star graphs with one incoming finite bond and two ..."
 
Vol 6, No 6 (2015) The Green function for simplest quantum graphs Abstract  PDF (Eng)  similar documents
K. K. Sabirov, U. A. Aminov, Kh. Sh. Saparov, M. K. Karimov, Kh. Abdikarimov
"... We treat the problem of the Green function for quantum graphs by focusing on such topologies ..."
 
Vol 8, No 3 (2017) Quantum graphs with the Bethe-Sommerfeld property Abstract  PDF (Eng)  similar documents
P. Exner, O. Turek
"... if they are periodic in more than one direction, periodic quantum graphs may have gaps arbitrarily high in the spectrum ..."
 
Vol 11, No 2 (2020) Reduced second Zagreb index of product graphs Abstract  PDF (Eng)  similar documents
N. De
"... The reduced second Zagreb index of a graph G is defined as RM2(G) = X (dG(u)−1)(dG(v)−1), where dG ..."
 
Vol 8, No 1 (2017) Nonlinear standing waves on planar branched systems: shrinking into metric graph Abstract  PDF (Eng)  similar documents
Z. Sobirov, D. Babajanov, D. Matrasulov
"... -called fat graphs. The shrinking limit when the domain becomes one-dimensional metric graph is studied ..."
 
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" 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 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
"... in the both sides of the essential spectrum of Aµ. In this case, an asymptotic formula for the discrete ..."
 
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 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 14, No 2 (2023) Optical high harmonic generation in a quantum graph Abstract  PDF (Eng)  similar documents
S. Z. Rakhmanov, I. B. Tursunov, K. Sh. Matyokubov, D. U. Matrasulov
"... High ordered harmonic generation in a quantum graph is studied by considering quantum star graph ..."
 
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
"...    The Z-matrix of a simple graph Γ is a square symmetric matrix, whose rows and columns ..."
 
Vol 6, No 2 (2015) A solution of nonlinear Schrödinger equation on metric graphs Abstract  PDF (Eng)  similar documents
K. K. Sabirov, A. R. Khalmukhamedov
"... We treat the Nonlinear Schr¨odinger equation (NLSE) on Metric graph. An approach developed earlier ..."
 
Vol 6, No 2 (2015) The relativistic inverse scattering problem for quantum graphs Abstract  PDF (Eng)  similar documents
K. K. Sabirov, Z. A. Sobirov, O. V. Karpova, A. A. Saidov
"... In this paper, we treat the inverse scattering problem for the Dirac equation on metric graphs ..."
 
Vol 3, No 5 (2012) Direct and inverse problems in the model of quantum graphs Abstract  similar documents
I. S. Lobanov, E. S. Trifanova
"... for quantum graphs. The practical prescriptions for finding the energy of pi-electrons and current-voltage ..."
 
Vol 3, No 2 (2012) Scattering by a junction of “zig-zag” and “armchair” nanotubes Abstract  similar documents
I, S. Lobanov, I. Yu. Popov
"... The quantum graph model of junction of zig-zag and armchair signle-wall carbon nanotubes ..."
 
Vol 9, No 4 (2018) Wave dynamics on time-depending graph with Aharonov-Bohm ring Abstract  PDF (Eng)  similar documents
D. A. Eremin, E. N. Grishanov, D. S. Nikiforov, I. Y. Popov
"... with wave dynamics on quantum graph consisting of AB ring coupled to a segment. It is assumed ..."
 
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 7, No 5 (2016) Control and inverse problems for networks of vibrating strings with attached masses Abstract  PDF (Eng)  similar documents
F. Al-Musallam, S. Avdonin, N. Avdonina, J. Edward
"... information on the graph, i.e. the loaded masses, the lengths of the edges and the topology (connectivity ..."
 
Vol 8, No 1 (2017) Stationary nonlinear Schrӧdinger equation on the graph for the triangle with outgoing bonds Abstract  PDF (Eng)  similar documents
K. K. Sabirov, M. Aripov, D. B. Sagdullayev
"... We consider the stationary (cubic) nonlinear Schrӧdinger equation (NLSE) on a simple metric graph ..."
 
Vol 6, No 3 (2015) Topological damping of Aharonov-Bohm effect: quantum graphs and vertex conditions Abstract  PDF (Eng)  similar documents
O. Kurasov, A. Serio
"... The magnetic Schr¨ odinger operator was studied on a figure 8-shaped graph. It is shown ..."
 
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 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 spectral problems for two types of quantum graphs are considered. We deal with star-like graph ..."
 
Vol 12, No 3 (2021) The F-index and coindex of V-Phenylenic Nanotubes and Nanotorus and their molecular complement graphs Abstract  PDF (Eng)  similar documents
M. S.Y. Alsharafi, A. Q. Alameri
"... which often appear in drug molecular graphs. In this paper, we studied the F-index and F-coindex ..."
 
Vol 6, No 2 (2015) Cauchy problem for the linearized KdV equation on general metric star graphs Abstract  PDF (Eng)  similar documents
Z. A. Sobirov, M. I. Akhmedov, H. Uecker
 
Vol 10, No 2 (2019) A model of an electron in a quantum graph interacting with a two-level system Abstract  PDF (Eng)  similar documents
A. A. Boitsev, I. Y. Popov
"... A model of an electron in a quantum graph interacting with a two-level system is considered ..."
 
Vol 10, No 5 (2019) Transparent vertex boundary conditions for quantum graphs: Simplified approach Abstract  PDF (Eng)  similar documents
M. M. Aripov, K. K. Sabirov, J. R. Yusupov
"... We consider quantum graphs providing reflectionless wave transmission at the vertices. Imposing ..."
 
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
"... 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 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 13, No 4 (2022) Comparison of Gaussian and vortex beams in free-space QKD with phase encoding in turbulent atmosphere Abstract  PDF (Eng)  similar documents
I. A. Adam, D. A. Yashin, D. A. Kargina, B. A. Nasedkin
 
Vol 13, No 1 (2022) Networks with point-like nonlinearities Abstract  PDF (Eng)  similar documents
K. K. Sabirov, J. R. Yusupov, Kh. Sh. Matyokubov, H. Susanto, D. U. Matrasulov
"... with point-like nonlinearities on metric graphs. Explicit solutions fulfilling vertex boundary conditions ..."
 
Vol 13, No 6 (2022) Spin Boltzmann machine Abstract  PDF (Eng)  similar documents
I. S. Lobanov
 
Vol 11, No 5 (2020) Computational analysis of some degree based topological indices of cubic structured tungsten trioxide [l,m,n] nanomultilayer Abstract  PDF (Eng)  similar documents
M. S. Duraisami, K. Parasuraman
"... Topological indices are numerical invariants of molecular graphs and are beneficial for predicting ..."
 
Vol 11, No 2 (2020) Particle transport in a network of quantum harmonic oscillators Abstract  PDF (Eng)  similar documents
J. R. Yusupov, Kh. Sh. Matyokubov, K. K. Sabirov
"... oscillators by solving the stationary Schrodinger¨ equation on metric graphs in the presence of harmonic ..."
 
Vol 11, No 2 (2020) Dynamics of polarons in branched conducting polymers Abstract  PDF (Eng)  similar documents
K. K. Sabirov, J. R. Yusupov, Kh. Sh. Matyokubov
"... dynamics in such a polymers, we use the modified SSH-model in combination with quantum graph concept ..."
 
Vol 8, No 1 (2017) Tunable wave packet transport in branched periodic lattices with time-dependent external field Abstract  PDF (Eng)  similar documents
J. Yusupov
"... packet transmission in quantum star graph, we provide further discussion based on some achievements ..."
 
Vol 8, No 1 (2017) On a non-separable quantum many-particle system on the half-line Abstract  PDF (Eng)  similar documents
J. Kerner, T. Mühlenbruch
 
Vol 4, No 4 (2013): Special Issue. INTERNATIONAL CONFERENCE "MATHEMATICAL CHALLENGE OF QUANTUM TRANSPORT IN NANOSYSTEMS - 2013. PIERRE DUCLOS WORKSHOP" Genetic algorithm for constructing graphene nanoribbon with given electronic transport properties Abstract  PDF (Eng)  similar documents
I. S. Lobanov, A. I. Trifanov, E. S. Trifanova
"... Electronic transport in carbon nanoribbon is studied in a quantum graph model. A numerical method ..."
 
Vol 8, No 2 (2017) Quasi-semidefinite eigenvalue problem and applications Abstract  PDF (Eng)  similar documents
L. Grubisic, J. Tambaca
"... appear in the study of complex systems, e.g. differential equations posed on metric graphs, in mixed ..."
 
Vol 15, No 5 (2024) Inverse source problem for the subdiffusion equation with edge-dependent order of time-fractional derivative on the metric star graph Abstract  PDF (Eng)  similar documents
Zarifboy A Sobirov, Ariukhan A. Turemuratova
 
Vol 12, No 3 (2021) Green’s function method for time-fractional diffusion equation on the star graph with equal bonds Abstract  PDF (Eng)  similar documents
Z. A. Sobirov, K. U. Rakhimov, R. E. Ergashov
"... problems for the time-fractional diffusion equation on the metric star graph with equal bonds. In the case ..."
 
Vol 8, No 2 (2017) Unique continuation principles and their absence for Schrodinger eigenfunctions on combinatorial and quantum graphs and in continuum space Abstract  PDF (Eng)  similar documents
N. Peyerimhoff, M. Taufer, I. Veselic
"... . For other combinatorial graphs, this is no longer true. Similarly, for quantum graphs the UCP does not hold ..."
 
Vol 11, No 3 (2020) M-polynomial and related degree-based topological indices of the third type of hex-derived network Abstract  PDF (Eng)  similar documents
Shibsankar Das, Shikha Rai
"... In the field of chemical graph theory, a topological index is a real number which is correlated ..."
 
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) 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 4, No 2 (2013) Spatial-time pattern of electrical field of terahertz pulse in the far field Abstract  PDF (Eng)  similar documents
M. S. Kulya, Ya. V. Grachev, V. G. Bespalov, V. P. Kujanpaa
"... . In the wave front of the field the amplitude decreases to zero, and going through this spatial plane ..."
 
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 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 12, No 2 (2021) Chemical applicability of Gourava and hyper-Gourava indices Abstract  PDF (Eng)  similar documents
B. Basavanagoud, Shruti Policepatil
"... .962243). Further, Gourava and hyper-Gourava indices are obtained for the line graph of subdivision graph of 2D ..."
 
Vol 15, No 4 (2024) The Cauchy problem for a high-order wave equation with a loaded convolution type. Abstract  PDF (Eng)  similar documents
P. Agarwal, U. Baltaeva, U. Madrakhimov, J. I. Baltaev
"... solutions to the problem explicitly and in the graphs. ..."
 
Vol 9, No 2 (2018) Approximation of eigenvalues of Schrodinger operators¨ Abstract  PDF (Eng)  similar documents
J. F. Brasche, R. Fulsche
"... to Schrodinger operators on metric graphs is sketched. ..."
 
Vol 4, No 1 (2013) Principle of equivalency of the disorder sources and heat conductivity of solids Abstract  similar documents
P. P. Fedorov, P. A. Popov
"... . Heat conductivity of M 1−x R x F 2+x , instead of going through its maximum at lower temperature ..."
 
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 ..."
 
Vol 7, No 5 (2016) Resonance scattering across the superlattice barrier and the dimensional quantization Abstract  PDF (Eng)  similar documents
B. Pavlov, A. Yafyasov
"... models of selected one-body spectral problems; quantum dot attached to the node of a quantum graph ..."
 
Vol 8, No 5 (2017) The effect of vertical throughflow in Rivlin–Ericksen elasticoviscous nanofluid in a nonDarcy porous medium Abstract  PDF (Eng)  similar documents
S. Saini, Y. D. Sharma
"... parameter. Major trends are investigated briefly by plotting the graphs. ..."
 
Vol 8, No 2 (2017) Stability of Grover’s algorithm in respect to perturbations in quantum circuit Abstract  PDF (Eng)  similar documents
K. V. Gubaidullina, S. A. Chivilikhin
"... to solve such problems like global optimization and graph coloring. In this regard, it is very important ..."
 
Vol 11, No 4 (2020) Peristaltic pumping through non-Darcy porous medium in an electroosmotic flow with entropy analysis Abstract  PDF (Eng)  similar documents
Bhimanand Pandurang Gajbhare, J.S.V.R. Krishna prasad, S. R. Mishra
"... the approximate solutions. The characteristics of the contributing parameters are presented via graphs ..."
 
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