Results 11 to 20 of about 773 (267)

Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras [PDF]

, 2007
The correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models related to classical simple Lie algebras.
Dunning, Clare, Suzuki, Junji, Tateo, Roberto, Dorey, Patrick, Masoero, Davide   +4 more
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Asymptotic Solutions of Integral Equations with Convolution Kernels [PDF]

Proceedings of the Edinburgh Mathematical Society, 1964
SummaryThe equations considered are Fredholm integral equations of the second kind with regular kernels, whose argument depends only on the difference of the variables. Approximate solutions are sought for a given finite range of the eigenvalues, and for large values of the range of integration.
openaire   +1 more source

Finite element approximation of Maxwell’s equations with Debye memory [PDF]

, 2010
Copyright © 2010 Simon Shaw. All rights reserved.This article has been made available through the Brunel Open Access Publishing Fund.Maxwell’s equations in a bounded Debye medium are formulated in terms of the standard partial differential equations of ...
Simon Shaw, Shaw, S
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Asymptotically typed solutions to a semilinear integral equation [PDF]

Journal of Integral Equations and Applications, 2014
In this paper, we investigate the existence of $\mu$-pseudo almost automorphic solutions to the semilinear integral equation $x(t)=\int_{-\infty}^{t}a(t-s)[Ax(s)+f(s,x(s))]\,ds$, $t\in\mathbf{R}$ in a Banach space $\mathbf{X}$, where $a\in L^{1}(\mathbf{R}_{+})$, $A$ is the generator of an integral resolvent family of linear bounded operators defined ...
Chang, Yong-Kui, Luo, Xiao-Xia, N'Guérékata, G.M.   +2 more
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On the adjoint of a symmetric operator [PDF]

, 2007
In general it is a non-trivial task to determine the adjoint S* of an unbounded symmetric operator S in a Hilbert or Krein space. We propose a method to specify S* explicitly which makes use of two boundary mappings that satisfy an abstract Green's ...
Meda S., Nelly Villamizar, CATALISANO, MARIA VIRGINIA, E. CARLINI, Matilde Lalín, Saito, Morihiko, Mauceri G., Fernandes de Oliveira, GM, Yuzvinsky, Sergey, Nero Budur, Vallarino, Maria, PICCIONE, P., Matthias Langer, Behrndt, Jussi, Frank Sottile (7161257), Morihiko Saito, Hynek Kovařík, PEREIRA, Antonio L., M. V. CATALISANO, Budur, Nero, Langer, Matthias, Elisa Postinghel, Stefano Meda, Lotoreichik, Vladimir, JAVALOYES, M. A., Catalisano M.V, Carlini, Enrico, Mauceri, G., Giancarlo Mauceri, Sergey Yuzvinsky, CATALISANO M. V., PEREIRA, Marcone C., Jussi Behrndt, MAUCERI, GIANCARLO, Wadim Zudilin, Veys, Willem, S. Meda, Detchat Samart, M. Vallarino, Catalisano, M.V., G. Mauceri, Frank Sottile, Elisa Postinghel (2887796), BILIOTTI, L., Meda, S., Kovarik, Hynek, Maria Vallarino, Nelly Villamizar (7161260)   +47 more
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Exact solution to a class of functional difference equations with application to a moving contact line flow

, 1994
A new integral representation for the Barnes double gamma function is derived. This is canonical in the sense that solutions to a class of functional difference equations of first order with trigonometrical coefficients can be expressed in terms of the ...
Lawrie, JB, King, AC
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A brief historical perspective of the Wiener-Hopf technique [PDF]

, 2007
It is a little over 75 years since two of the most important mathematicians of the 20th century collaborated on finding the exact solution of a particular equation with semi-infinite convolution type integral operator.
Lawrie, Jane B., Lawrie, JB, Abrahams, ID, Abrahams, I. David   +3 more
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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
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EXISTENCE AND ASYMPTOTIC STABILITY OF SOLUTIONS TO A FUNCTIONAL-INTEGRAL EQUATION

Taiwanese Journal of Mathematics, 2007
Using a fixed point theorem of Darbo type in the space of bounded continuous functions, the existence of a bounded solution of the equation \[ x(t)=f(t,x(t))+g(t,x(t))\int_{0}^{t}u(t,s,x(s))\,ds \] is obtained when \(| u(t,s,x)|\leq a(t)b(s)\) with small \(a,b\) and \(f(t,\cdot)\) and \(g(t,\cdot)\) are contractions with small constants \(k\) and \(m(t)
Liu, Zeqing, Kang, Shin Min
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Painleve Equations and Orthogonal Polynomials [PDF]

, 2016
In this thesis we classify all of the special function solutions to Painleve equations and all their associated equations produced using their Hamiltonian structures.
Smith, James
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