Collocation Methods for a Class of Volterra Integral Functional Equations with Multiple Proportional Delays
Kai Zhang and
Jie Li
10.4208/aamm.10-m11147
Adv. Appl. Math. Mech., 4 (2012), pp. 575-602.
In this paper, we apply the collocation methods to a class of
Volterra integral functional equations with multiple proportional
delays (VIFEMPDs). We shall present the existence, uniqueness and
regularity properties of analytic solutions for this type of equations,
and then analyze the convergence orders of the collocation solutions
and give corresponding error estimates. The numerical results verify
our theoretical analysis.
