| Full text | |
| Author(s): |
Novaes, Douglas D.
;
Torregrosa, Joan
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 448, n. 1, p. 171-186, APR 1 2017. |
| Web of Science Citations: | 10 |
| Abstract | |
A classical necessary condition for an ordered set of n + 1 functions F to be an ECT-system in a closed interval is that all the Wronskians do not vanish. With this condition all the elements of Span(F) have at most n zeros taking into account the multiplicity. Here the problem of bounding the number of zeros of Span(F) is considered as well as the effectiveness of the upper bound when some Wronskians vanish. For this case we also study the possible configurations of zeros that can be realized by elements of Span(F). An application to count the number of isolated periodic orbits for a family of nonsmooth systems is performed. (C) 2016 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 16/11471-2 - Sliding motion in discontinuous dynamical systems: periodic solutions, homoclinic connections, and nonlinear sliding modes |
| Grantee: | Douglas Duarte Novaes |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 15/24841-0 - Persistence of periodic solutions for higher order perturbed differential systems via Lyapunov-Schmidt reduction |
| Grantee: | Douglas Duarte Novaes |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| FAPESP's process: | 15/02517-6 - Study of minimal sets in nonsmooth dynamical systems |
| Grantee: | Douglas Duarte Novaes |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |