Issue | Title | |
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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