Results 31 to 40 of about 47,739 (313)

Asymptotic solution to a class of singularly perturbed Volterra integral equations [PDF]

Methods and Applications of Analysis, 1995
The author considers nonlinear Volterra integral equations. A uniformly valid asymptotic expansion for the solution to a class of singularly perturbed integral equations of this type displaying exponential boundary layer behaviour is established. Certain quasilinear ordinary differential equations are noted as special cases, and a model for population ...
openaire   +2 more sources

Asymptotics of the solution to a singularly perturbed integral equation

Applied Mathematics Letters, 1991
AbstractThe leading term of the asymptotics as ϵ → +0 of the solution to the equation ϵhϵ+ ∫1-1exp(-a∣x-u∣)hϵ(y)dy=f(x),-1≤x≤1,fϵC4(-1,1) is calculated.
Ramm, A.G., Shifrin, E.I.
openaire   +1 more source

Integral equations for the correlation functions of the quantum one-dimensional Bose gas

, 1998
The large time and long distance behavior of the temperature correlation functions of the quantum one-dimensional Bose gas is considered. We obtain integral equations, which solutions describe the asymptotics.
A. A. Belavin, A. R. Its, A. R. Its, C. N. Yang, E. H. Lieb, N. A. Slavnov, N. A. Slavnov, N. A. Slavnov, P. Deift, T. Kojima, T. Kojima, V. E. Korepin, V. E. Korepin, V. E. Korepin, V. E. Korepin, V. E. Korepin   +15 more
core   +1 more source

On the precision of the theoretical predictions for pi pi scattering [PDF]

, 2003
In a recent paper, Pelaez and Yndurain evaluate some of the low energy observables of pi pi scattering and obtain flat disagreement with our earlier results.
B. Ananthanarayan, B. Hyams, D.V. Bugg, E.P. Tryon, G. Colangelo, G. Colangelo, G. Wanders, G. Wanders, H. Leutwyler, I. Caprini, J. Bijnens, J. Bijnens, J. Bijnens, J. Gasser, J.F. De Troconiz, J.F. Donoghue, J.L. Basdevant, J.R. Cudell, J.R. Peláez, K. Hagiwara, K.L. Au, M.R. Pennington, M.R. Pennington, M.R. Pennington, P. Estabrooks, S. Descotes-Genon, S. Weinberg, S.D. Protopopescu, S.M. Roy, W. Rarita   +29 more
core   +1 more source

Asymptotic stability of solutions to Volterra-renewal integral equations with space maps

Journal of Mathematical Analysis and Applications, 2012
The following linear Volterra-renewal integral equations are considered \[ u(x,t)=f(x,t)+\int\limits_{0}^{t}k(t-\eta)u(g(x,t,\eta),\eta)d\eta, \] with \(t>0,\:x\in\Omega:=[a,b]\), where \(k(t)\geq 0,\:f(x,t)\geq 0\) and \(g(x,t,\eta)\) are known continuous functions. Their solutions depend on the space variable, via a map transformation.
M. Annunziato, H. Brunner, MESSINA, ELEONORA   +2 more
openaire   +3 more sources

Complete minimal form factors for irrelevant deformations of integrable quantum field theory

Nuclear Physics B
In this paper, we present a method to compute the minimal form factors (MFFs) of diagonal integrable field theories perturbed by generalized TT¯ perturbations.
Fabio Sailis, Olalla A. Castro-Alvaredo, Stefano Negro   +2 more
doaj   +1 more source

Asymptotics of Relativistic Spin Networks [PDF]

, 2002
The stationary phase technique is used to calculate asymptotic formulae for SO(4) Relativistic Spin Networks. For the tetrahedral spin network this gives the square of the Ponzano-Regge asymptotic formula for the SU(2) 6j symbol.
Baez J C, Baez J C, Baez J C, Barrett J W, Barrett J W, Barrett J W, Barrett J W, Barrett J W, Barrett J W, Christensen J D, Christopher M Steele, Guillemin V, John W Barrett, Mowaffaq H, Ponzano G, Roberts J   +15 more
core   +2 more sources

Properties of linear integral equations related to the six-vertex model with disorder parameter

, 2010
One of the key steps in recent work on the correlation functions of the XXZ chain was to regularize the underlying six-vertex model by a disorder parameter $\alpha$.
Boos, Hermann, Göhmann, Frank
core   +2 more sources

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source

Hopfield Neural Networks for Online Constrained Parameter Estimation With Time‐Varying Dynamics and Disturbances

International Journal of Adaptive Control and Signal Processing, EarlyView.
This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
wiley   +1 more source