A perturbed collage theorem and its application to inverse interval integral problems
arXiv:2002.01418 · doi:10.1016/j.cnsns.2020.105365
Abstract
This paper deals with inverse problems subject to imprecise or vague information of some involved data by means of interval-valued functions. To provide interval solutions to the inverse problems we have adopted a perturbed collage-based approach and we have also introduced a numerical procedure by means of the use of interval bases in a sense. To illustrate the results, and as an application, we have studied the Volterra interval-valued integral equation, and provide some computational examples.
16 pages