TY - JOUR T1 - Collocation Methods for a Class of Volterra Integral Functional Equations with Multiple Proportional Delays AU - Zhang , Kai AU - Li , Jie JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 575 EP - 602 PY - 2012 DA - 2012/04 SN - 4 DO - http://doi.org/10.4208/aamm.10-m11147 UR - https://global-sci.org/intro/article_detail/aamm/137.html KW - Volterra integral functional equation, multiple proportional delays, collocation method. AB -

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.