Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640625 | Journal of Computational and Applied Mathematics | 2010 | 12 Pages |
Abstract
This paper is concerned with the approximate solution of a linear non-autonomous functional differential equation, with both advanced and delayed arguments. We search for a solution x(t)x(t), defined for t∈[−1,k]t∈[−1,k], (k∈Nk∈N), that satisfies this equation almost everywhere on [0,k−1][0,k−1] and assumes specified values on the intervals [−1,0][−1,0] and (k−1,k](k−1,k]. We provide a discussion of existence and uniqueness theory for the problems under consideration and describe numerical algorithms for their solution, giving an analysis of their convergence.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Pedro M. Lima, M. Filomena Teodoro, Neville J. Ford, Patricia M. Lumb,