Results 31 to 40 of about 577,125 (180)

Multiple solutions of nonlinear elliptic functional differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2018
We shall consider weak solutions of boundary value problems for elliptic functional differential equations of the form $$ -\sum_{j=1}^nD_j[a_j(x,u,Du;u)]+a_0(x,u,Du;u)=F,\qquad x\in \Omega $$ with homogeneous boundary conditions, where $\Omega \subset ...
László Simon
doaj   +1 more source

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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Renormalizing the Schwinger-Dyson equations in the auxiliary field formulation of $\lambda \phi^4$ field theory [PDF]

, 2004
In this paper we study the renormalization of the Schwinger-Dyson equations that arise in the auxiliary field formulation of the O(N) $\phi^4$ field theory. The auxiliary field formulation allows a simple interpretation of the large-N expansion as a loop
Bogdan Mihaila, Claude Itzykson, D. J. Gross, E. Mottola, Fred Cooper, G. Aarts, H.  D. Dahmen, J. Schwinger, J. D. Bjorken, John F. Dawson, K. Hepp, K. Wilson, L. V. Keldysh, L. V. Keldysh, N. N. Bogoliubov, T. Kugo, W. Zimmermann   +16 more
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Synthetic neuronal datasets for benchmarking directed functional connectivity metrics [PDF]

PeerJ, 2015
Background. Datasets consisting of synthetic neural data generated with quantifiable and controlled parameters are a valuable asset in the process of testing and validating directed functional connectivity metrics.
João Rodrigues, Alexandre Andrade
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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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Real time lattice correlation functions from differential equations

Journal of High Energy Physics, 2023
Abstract We report on an exact calculation of lattice correlation functions on a finite four-dimensional lattice with either Euclidean or Minkowskian signature. The lattice correlation functions are calculated by the method of differential equations. This method can be used for Euclidean and Minkowskian signature alike. The lattice
Gasparotto, Federico, Weinzierl, Stefan, Xu, Xiaofeng   +2 more
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Flow equations for spectral functions at finite external momenta

, 2014
In this work we study the spatial-momentum dependence of mesonic spectral functions obtained from the quark-meson model using a recently proposed method to calculate real-time observables at finite temperature and density from the Functional ...
Tripolt, Ralf-Arno, von Smekal, Lorenz, Wambach, Jochen   +2 more
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A package for symbolic solution of real functional equations of real variables

Aequationes Mathematicae, 1997
The authors describe a Mathematica package for the solution of functional equations. Solving functional equations is a tricky business. Most people working in the field have a bagful of equations whose solution is known and a bag of tricks (methods to reduce to these and thus solve other equations), nobody knows everything.
Castillo, Enrique, Iglesias, Andres
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Design of High-Order Iterative Methods for Nonlinear Systems by Using Weight Function Procedure

Abstract and Applied Analysis, 2015
We present two classes of iterative methods whose orders of convergence are four and five, respectively, for solving systems of nonlinear equations, by using the technique of weight functions in each step.
Santiago Artidiello, Alicia Cordero, Juan R. Torregrosa, María P. Vassileva   +3 more
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Time-Dependent Quasiparticle Current Density Functional Theory of X-Ray Nonlinear Response Functions

, 2003
A real-space representation of the current response of many-electron systems with possible applications to x-ray nonlinear spectroscopy and magnetic susceptibilities is developed.
E.K.U. Gross, G. Vignale, G. Vignale, M. Drescher, M. van Faassen, M. van Faassen, N.T. Maitra, O. Berman, Oleg Berman, S. Tanaka, S. Tretiak, Shaul Mukamel, V. Chernyak, V. Chernyak   +13 more
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