Volterra equations

Volterra equations

[vol′ter·ə i‚kwā·shənz]
(mathematics)
Given functions ƒ(x) and K (x,y), these are two types of equations with unknown function y :
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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References in periodicals archive ?
Del Prete, "High performance parallel numerical methods for Volterra equations with weakly singular kernels," Journal of Computational and Applied Mathematics, vol.
However, in the above-mentioned articles, Volterra equations with convolution kernels are mainly considered.
Whiteman, "Adaptive space-time finite element solution for Volterra equations arising in viscoelasticity problems," Journal of Computational and Applied Mathematics, vol.
Discrete Volterra equations of different types are widely used in the process of modeling of some real phenomena or by applying a numerical method to a Volterra integral equation.
Oka, "Linear Volterra equations and integrated solution families," Semigroup Forum, vol.
Finally, similar to the Arnold's definition of the n-dimensional rigid body [26], the n-dimensional gyrostat was introduced [8, 9] as the n-dimensional analog of the Volterra equations (3); the latter recovered at n = 3.
Petrusel, A class of abstract Volterra equations via weakly Picard operators technique, Math.
BRUNNER, Nonpolynomial spline collocation method for Volterra equations with weakly singular kernels, SIAM J.
Aparstyn, Nonclassical linear Volterra Equations of the First Kind, VSP, Utrecht (2003).