Name
Abstract | ||
|---|---|---|
We demonstrate the existence and uniqueness of solutions to a bilinear state system with locally essentially bounded coefficients on an unbounded time scale. We obtain a Volterra series representation for these solutions which is norm convergent and uniformly convergent on compact subsets of the time scale. We show the associated state transition matrix has a similarly convergent Peano-Baker series representation and identify a necessary and sufficient condition for its invertibility. Finally, we offer numerical applications for dynamic bilinear systems - a frequency modulated signal model and a two-compartment cancer chemotherapy model. (C) 2021 Elsevier Inc. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1016/j.amc.2020.125917 | APPLIED MATHEMATICS AND COMPUTATION |
Keywords | DocType | Volume |
Bilinear state system, Dynamic equations on time scales, Real analysis on time scales | Journal | 397 |
ISSN | Citations | PageRank |
0096-3003 | 0 | 0.34 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| David Grow | 1 | 0 | 0.34 |
| Nick Wintz | 2 | 0 | 0.34 |