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 :
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References in periodicals archive ?
Petrusel, A class of abstract Volterra equations via weakly Picard operators technique, Math.
Becker, Uniformly continuous solutions of Volterra equations and global asymptotic stability, Cubo 11 (2009), 1-24.
Burton, Stability theory for Volterra equations, J.
Finally, there will be studied questions of global solvability for control systems and necessary optimality conditions for control systems defined by Volterra equations.
Aparstyn, Nonclassical linear Volterra Equations of the First Kind, VSP, Utrecht (2003).
It should be noticed that, the IAEs systems are coupled systems consisting of the first and second kind Volterra equations, so that in our considered numerical tests, we can not use the Legendre-Gauss-Radau or Gauss-Lobatto points as the collocation points.
Van der Houwen, The numerical solution of Volterra equations, CWI Monographs, Vol.
Recently, uniform exponential stability of the solutions to abstract Volterra equations was studied in [9] and [2].
She begins with existence theorems, providing examples including the Volterra equations for predator-prey systems, the Hodgkin-Huxley equations, the Field-Noyes model for the Belousov-Zhabotinsky reaction and the Goodwin equations for a chemical reaction system.
VERDUYN LUNEL, Series expansions and small solutions for Volterra equations of convolution type, J.