Results 81 to 90 of about 57,321 (196)

Moment transport equations for the primordial curvature perturbation

, 2011
In a recent publication, we proposed that inflationary perturbation theory can be reformulated in terms of a probability transport equation, whose moments determine the correlation properties of the primordial curvature perturbation.
A.A. Starobinsky, D. Seery, D.H. Lyth, D.J. Mulryne, Daniel Wesley, David J Mulryne, David Seery, F. Vernizzi, J.M. Maldacena, L. Alabidi, M. LoVerde, S. Chongchitnan, S. Dimopoulos, S. Yokoyama, T. Battefeld, T. Tanaka, V.F. Mukhanov, X. Chen   +17 more
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Operator method for the perturbative solution of ordinary differential equations

Computers & Mathematics with Applications, 1978
Abstract We adapt the Feynman operator calculus to the Lie operators connected with the solution of ordinary, coupled, first order differential equations, particularly those arising from non-linear oscillations or from interactions between modes. Combining this calculus with the method of averaging we obtain approximate solutions which are algebraic ...
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Singular perturbations of ordinary differential equations in Colombeau spaces

Publications de l'Institut Mathematique, Beograd, 2000
A system of the form \[ y'(t)=f(t,y(t))+G(t),\quad y(-1)=y_0 \] is considered. \(G\) is a generalized function, for example \(G=\delta^{(\alpha)}\) and \(f\) is a smooth, not always the globally Lipschitz, vector function. The authors analyze an appropriate, approximated, family of systems in the framework of Colombeau generalized function algebra.
Nedeljkov, Marko, Rajter-Ćirić, Danijela   +1 more
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Borel summability of divergent solutions for singularly perturbed first-order ordinary differential equations [PDF]

Tohoku Mathematical Journal, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Scalar quasi-normal modes of accelerating Kerr-Newman-AdS black holes

Journal of High Energy Physics
We study linear scalar perturbations of slowly accelerating Kerr-Newman-anti-de Sitter black holes using the method of isomonodromic deformations.
Julián Barragán Amado, Bogeun Gwak
doaj   +1 more source

Causal models and prediction in cell line perturbation experiments

BMC Bioinformatics
In cell line perturbation experiments, a collection of cells is perturbed with external agents and responses such as protein expression measured. Due to cost constraints, only a small fraction of all possible perturbations can be tested in vitro.
James P. Long, Yumeng Yang, Shohei Shimizu, Thong Pham, Kim-Anh Do   +4 more
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Bounds on the non-real spectrum of differential operators with indefinite weights [PDF]

, 2012
Ordinary and partial differential operators with an indefinite weight function can be viewed as bounded perturbations of non-negative operators in Krein spaces.
Behrndt, Jussi, Philipp, Friedrich, Trunk, Carsten   +2 more
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Modeling Networks of Four Elements

Computation
In this article, fourth-order systems of ordinary differential equations are studied. These systems are of a special form, which is used in modeling gene regulatory networks.
Olga Kozlovska, Felix Sadyrbaev
doaj   +1 more source

Asymptotic relations between perturbed linear systems of ordinary differential equations [PDF]

Pacific Journal of Mathematics, 1973
Hallam, Thomas G., Onuchic, Nelson
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Fractals and Chaotic Solitons Phenomena in Conformable Coupled Higgs System

Discrete Dynamics in Nature and Society
The current study aims to construct and examine a new plethora of soliton solutions for the conformable coupled Higgs system (CCHS), a system of nonlinear fractional partial differential equations (NFPDEs) which was initially presented utilize a ...
Naveed Iqbal, Wael W. Mohammed, Amjad E. Hamza, Shah Hussain, Yousef Jawarneh, Rasool Shah   +5 more
doaj   +1 more source