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Volume 4, Issue 5
Collocation Methods for a Class of Volterra Integral Functional Equations with Multiple Proportional Delays

Kai Zhang & Jie Li

DOI: 10.4208/aamm.10-m11147

Adv. Appl. Math. Mech., 4 (2012), pp. 575-602.

Published online: 2012-04

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  • Abstract

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.

  • Keywords

Volterra integral functional equation, multiple proportional delays, collocation method.

  • AMS Subject Headings

65R20, 34K06, 34K28

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-4-575, author = {Zhang , Kai and Li , Jie}, title = {Collocation Methods for a Class of Volterra Integral Functional Equations with Multiple Proportional Delays}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2012}, volume = {4}, number = {5}, pages = {575--602}, abstract = {

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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-m11147}, url = {http://global-sci.org/intro/article_detail/aamm/137.html} }
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.

Zhang , Kai and Li , Jie. (2012). Collocation Methods for a Class of Volterra Integral Functional Equations with Multiple Proportional Delays. Advances in Applied Mathematics and Mechanics. 4 (5). 575-602. doi:10.4208/aamm.10-m11147
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