| Full text | |
| Author(s): |
Silva, M. Ap.
;
Bonotto, E. M.
;
Collegari, R.
;
Federson, M.
;
Gadotti, M. C.
Total Authors: 5
|
| Document type: | Journal article |
| Source: | NONLINEAR ANALYSIS-HYBRID SYSTEMS; v. 56, p. 17-pg., 2024-12-27. |
| Abstract | |
It is known that generalized ordinary differential equations (generalized ODEs for short) encompass other types of equations such as impulsive differential equations as well as dynamic equations on time scales. The present paper concerns the theory of (0 , T)-periodic solutions in the framework of generalized ODEs in Banach spaces. We exhibit necessary and sufficient conditions for a solution of a generalized ODE to be (0 , T)-periodic. Moreover, we develop the Floquet theory of homogeneous linear generalized ODEs and, as a consequence, we present a characterization of fundamental matrices for the finite dimensional case. As an illustration, we apply the main results to Volterra-Stieltjes-type integral equations. (AU) | |
| FAPESP's process: | 20/14075-6 - Dynamical systems and their attractors under perturbations |
| Grantee: | Alexandre Nolasco de Carvalho |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 18/15183-7 - Study about oscillation for functional differential equations |
| Grantee: | Marta Cilene Gadotti |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 19/03188-7 - Recursive properties and oscillation of impulsive dynamical systems |
| Grantee: | Everaldo de Mello Bonotto |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 17/13795-2 - Non Absolute Integration and Applications |
| Grantee: | Márcia Cristina Anderson Braz Federson |
| Support Opportunities: | Regular Research Grants |