Results 71 to 80 of about 920,770 (191)

The quantum group, Harper equation and the structure of Bloch eigenstates on a honeycomb lattice

open access: yes, 2012
The tight-binding model of quantum particles on a honeycomb lattice is investigated in the presence of homogeneous magnetic field. Provided the magnetic flux per unit hexagon is rational of the elementary flux, the one-particle Hamiltonian is expressed ...
Azbel M Ya   +4 more
core   +1 more source

On the correctness of the determination of trigonometric functions by the system of functional equations

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2011
The article shows that the system of the functional equations$S(x+y)=S(x)C(y)+S(y)C(x),,C(x+y)=C(x)C(y)-S(y)S(x)$ defines abroader class of the functions than the trigonometric equations.
Е. V. Velichko, I. G. Tkachenko
doaj  

Steady heat conduction of material with coated inclusion in the case of imperfect contact

open access: yesMathematical Modelling and Analysis, 2007
We discuss a potential steady heat conduction for composites with the coated cylindrical inclusion under an imperfect contact condition. We rewrite equivalently the considered problem to a conjugation problem for analytic functions which is reduced then ...
Paweł Drygas
doaj   +1 more source

Antiperiodic dynamical 6-vertex model by separation of variables II: Functional equations and form factors

open access: yes, 2015
We pursue our study of the antiperiodic dynamical 6-vertex model using Sklyanin's separation of variables approach, allowing in the model new possible global shifts of the dynamical parameter.
Levy-Bencheton, D.   +2 more
core   +4 more sources

A System of Schrödinger’s Problems and Functional Equations

open access: yesSIAM Journal on Control and Optimization
We propose and study a system of Schrödinger's problems and functional equations in probability theory. More precisely, we consider a system of variational problems of relative entropies for probability measures on a Euclidean space with given two endpoint marginals, which can be defined inductively.
Mikami, Toshio, Feng, Jin
openaire   +2 more sources

A complete set of equations for piezo-magnetoelastic analysis of a functionally graded thick shell of revolution

open access: yesLatin American Journal of Solids and Structures
Tensor analysis and an orthogonal curvilinear coordinate system have been used to derive a complete set of equations for piezo-magneto-elastic analysis of a functionally graded (FG) thick shell of revolution with variable thickness and curvature.
Mohammad Arefi
doaj   +1 more source

Existence Theorem for Integral and Functional Integral Equations with Discontinuous Kernels

open access: yesAbstract and Applied Analysis, 2012
Existence of extremal solutions of nonlinear discontinuous integral equations of Volterra type is proved. This result is extended herein to functional Volterra integral equations (FVIEs) and to a system of discontinuous VIEs as well.
Ezzat R. Hassan
doaj   +1 more source

QQ-system and non-linear integral equations for scattering amplitudes at strong coupling

open access: yesJournal of High Energy Physics, 2020
We provide the two fundamental sets of functional relations which describe the strong coupling limit in AdS 3 of scattering amplitudes in N $$ \mathcal{N} $$ = 4 SYM dual to Wilson loops (possibly extended by a non-zero twist l): the basic QQ-system and ...
Davide Fioravanti   +2 more
doaj   +1 more source

Kernel method and system of functional equations

open access: yesJournal of Computational and Applied Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mansour, Toufik, Song, Chunwei
openaire   +1 more source

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