Exact solution to a class of functional difference equations with application to a moving contact line flow [PDF]
, 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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Complete minimal form factors for irrelevant deformations of integrable quantum field theory
Nuclear Physics BIn 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 +2 more
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Asymptotic Stability of Solutions to a Nonlinear Urysohn Quadratic Integral Equation [PDF]
International Journal of Analysis, 2013 Here, we prove the existence of -nondecreasing solution to a nonlinear quadratic integral equation of Urysohn type by applying the technique of weak noncompactness. Also, the asymptotic stability of solutions for that quadratic integral equation is studied.
Hashem, H. H. G., Al-Rwaily, A. R.
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Asymptotic behavior for solutions of some integral equations
Communications on Pure and Applied Analysis, 2011 In this paper we study the asymptotic behavior of the positive solutions of the following system of Euler-Lagrange equations of the Hardy-Littlewood-Sobolev type in $R^n$ $u(x) = \frac{1}{|x|^{\alpha}}\int_{R^n} \frac{v(y)^q}{|y|^{\beta}|x-y|^{\lambda}} dy $, $ v(x) = \frac{1}{|x|^{\beta}}\int_{R^n} \frac{u(y)^p}{|y|^{\alpha}|x-y|^{\lambda}}
Yutian Lei, Chao Ma
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On the asymptotics of solutions of Volterra integral equations
Arkiv för Matematik, 1985 Consider the complex-valued, linear Volterra equation \[ (*)\quad v(t)- \int^{t}_{t_ 0}G(t,\tau)v(\tau)d\tau =v_ 0(t),\quad t\geq t_ 0. \] It is known that the solution of this equation can be expressed in terms of a variation of constants formula \[ v(t)=v_ 0(t)- \int^{t}_{t_ 0}R(t,\tau)v_ 0(\tau)d\tau,\quad t\geq t_ 0, \] where R often is called the ...
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Localized boundary-domain integral equation formulation for mixed type problems [PDF]
, 2010 Copyright @ 2010 Walter de Gruyter GmbHSome modified direct localized boundary-domain integral equations (LBDIEs) systems associated with the mixed boundary value problem (BVP) for a scalar “Laplace” PDE with variable coefficient are formulated and ...
Mikhailov, SE +5 more
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Asymptotic expansions for approximate solutions of boundary integral equations
CoRRThis paper uses the Modified Projection Method to examine the errors in solving the boundary integral equation from Laplace equation. The analysis uses weighted norms, and parallel algorithms help solve the independent linear systems. By applying the method developed by Kulkarni, the study shows how the approximate solution behaves in polygonal domains.
Akshay Rane, Kunalkumar Shelar
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Asymptotic solutions of linear Volterra integral equations with singular kernels [PDF]
Transactions of the American Mathematical Society, 1974 Volterra integral equations of the form u ′ ( t
Wong, J. S. W., Wong, R.
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Asymptotics of a Class of Solutions to the Cylindrical Toda Equations
, 1997 The small t asymptotics of a class of solutions to the 2D cylindrical Toda equations is computed. The solutions, q_k(t), have the representation q_k(t) = log det(I-lambda K_k) - log det(I-lambda K_{k-1}) where K_k are integral operators.
Widom, H., Tracy, C. A.
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Asymptotic Behavior of Solutions to a Vector Integral Equation with Deviating Arguments [PDF]
Abstract and Applied Analysis, 2013 In this paper, we propose the study of an integral equation, with deviating arguments, of the typey(t)=ω(t)-∫0∞f(t,s,y(γ1(s)),…,y(γN(s)))ds,t≥0,in the context of Banach spaces, with the intention of giving sufficient conditions that ensure the existence of solutions with the same asymptotic behavior at∞asω(t).
Cristóbal González +1 more
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