Results 51 to 60 of about 920,770 (191)

Density Functional Theory with Spatial-Symmetry Breaking and Configuration Mixing

, 2013
This article generalizes the notion of the local density of a many-body system to introduce collective coordinates as explicit degrees of freedom. It is shown that the energy of the system can be expressed as a functional of this object.
Lesinski, Thomas
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ON SOLUTIONS OF SOME SYSTEM OF FUNCTIONAL EQUATIONS

Demonstratio Mathematica, 1998
The author gives the general solution in certain classes of functions for a system of functional equations which appears when some semigroups of the group \(L^1_4\) are determined. Here the study, started by the author himself in some previous papers, is continued.
openaire   +1 more source

Combined system of additive functional equations in Banach algebras

Open Mathematics
In this study, we solve the system of additive functional equations: h(x+y)=h(x)+h(y),g(x+y)=f(x)+f(y),2fx+y2=g(x)+g(y),\left\{\begin{array}{l}h\left(x+y)=h\left(x)+h(y),\\ g\left(x+y)=f\left(x)+f(y),\\ 2f\left(\frac{x+y}{2}\right)=g\left(x)+g(y),\end ...
Donganont Siriluk, Park Choonkil
doaj   +1 more source

Coarse-grained forms for equations describing the microscopic motion of particles in a fluid

, 2013
Equations of motion for the microscopic number density $\hat{\rho}({\bf x},t)$ and the momentum density $\hat{\bf g}({\bf x},t)$ of a fluid have been obtained in the past from the corresponding Langevin equations representing the dynamics of the fluid ...
Das, Shankar P., Yoshimori, Akira
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Linear Approximation And Asymptotic Expansion Associated With The System Of Nonlinear Functional Equations

Demonstratio Mathematica, 2014
This paper is devoted to the study of the following perturbed system of nonlinear functional equations x ∊Ω=[-b,b], i = 1,…., n; where ε is a small parameter, aijk; bijk are the given real constants, Rijk, Sijk , Xijk : Ω → Ω ,gi → Ω →ℝ , Ψ: Ω x ℝ2→ ℝ ...
Ngoc Le Thi Phuong, Dung Huynh Thi Hoang, Danh Pham Hong, Long Nguyen Thanh   +3 more
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One-parameter system of functional equations

Aequationes Mathematicae, 1993
A system of functional equations connected with a problem of aggregation of probability distribution functions is reduced to the functional equation \[ f(x)= {1\over 2} \Biggl\{ f\Biggl({x\over 1- a}\Biggr)+ f\Biggl({x- a\over 1- a}\Biggr)\Biggr\}, \] where \(a\) is a parameter with \(a\in (0, 1)\) and the unknown function \(f: \mathbb{R}\to \mathbb{R}\
openaire   +2 more sources

Unstable (Stable) system of stable (unstable) functional equations

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2010
In this note the answer to a question by Z. Moszner from the paper [1] about connections of stability of separate equations and the system of them, is given.
Zenon Moszner, Andrzej Mach
doaj  

Computational methods and dynamical analysis for studying ( 1 + 1 ) $(1 + 1)$ dimensional functional equations of mixed integro-differential type

Boundary Value Problems
In the present paper, the Fibonacci collocation method is implemented to solve ( 1 + 1 ) $(1 + 1)$ dimensional difference equations of mixed integro-differential type.
Amr M. S. Mahdy, Mohamed A. Abdou, Doaa S. Mohamed   +2 more
doaj   +1 more source

On Dynamic Stability of a Nonlinear Aeroelastic System

Известия Иркутского государственного университета: Серия "Математика", 2018
A nonlinear mathematical model of a device related to vibratory technology is considered. The device is intended for the intensification of technological processes, for example, the mixing process. The action of such devices is based on the vibrations of
P. A. Velmisov, A. V. Ankilov
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Far-from-equilibrium quantum many-body dynamics

, 2010
The theory of real-time quantum many-body dynamics as put forward in Ref. [arXiv:0710.4627] is evaluated in detail. The formulation is based on a generating functional of correlation functions where the Keldysh contour is closed at a given time ...
A. Arrizabalaga, A. Mitra, B. Delamotte, B. Mihaila, C. Bagnuls, C. Karrasch, C. Scheppach, C. Wetterich, C. Wetterich, C. Wetterich, C.D. Fertig, D. Boyanovsky, D. Boyanovsky, D.F. Litim, D.F. Litim, D.R. Hartree, D.R. Hartree, E.P. Gross, F. Cooper, F. Cooper, G. Aarts, G. Aarts, G. Aarts, G. Baym, G. Vidal, H. Schoeller, J. Berges, J. Berges, J. Berges, J. Berges, J. Berges, J. Berges, J. Berges, J. Berges, J. Estève, J. Polonyi, J. Rammer, J. Schwinger, J.-P. Blaizot, J.I. Latorre, J.M. Cornwall, J.M. Luttinger, J.M. Pawlowski, Jan M. Pawlowski, K. Temme, K.T. Mahanthappa, L. Canet, L. Canet, L.M.A. Bettencourt, L.P. Kadanoff, L.P. Pitaevskii, L.P. Pitaevskii, L.V. Keldysh, L.V. Keldysh, M. Alford, M. Karski, M. Salmhofer, M. Strickland, P.C. Hohenberg, P.M. Bakshi, R. Gezzi, R. Micha, S. Hofferberth, S. Kehrein, S. Matarrese, S. Ritter, S.-I. Ei, S.G. Jakobs, S.G. Jakobs, S.R. Manmana, S.R. White, Stefan Keßler, T. Gasenzer, T. Gasenzer, T. Gasenzer, T. Gericke, T. Heinzel, T. Kinoshita, T. Korb, Thomas Gasenzer, U. Schollwöck, V. Fock, W.S. Bakr, Y. Hatta   +83 more
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