Maximal attractors for multivalued semiflows
Abstract In this work we find conditions under which a slowly non–dissipative multivalued semiflow, defined in terms of generalized semiflows , has a strict maximal attractor . We apply our results to a differential reaction–diffusion inclusion with the multivalued Heaviside function as the nonlinear term.
Authors
- Margarida Brito (ORCID: https://orcid.org/0000-0001-7453-3289)
- Piotr Kalita (ORCID: https://orcid.org/0000-0002-2651-9666)
- Matheus C. Bortolan (ORCID: https://orcid.org/0000-0002-4838-8847)
- José Valero (ORCID: https://orcid.org/0000-0003-0421-6653)
Institutions
- Universitat de Miguel Hernández d'Elx (ES)
- Jagiellonian University (PL)
- Universidade Federal de Santa Catarina (BR)
Publication Details
- Journal
- Revista Matemática Complutense
- Published
- 2025-06-24
- DOI
- https://doi.org/10.1007/s13163-025-00534-8
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Fundação de Amparo à Pesquisa do Estado de São Paulo
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- Generalitat Valenciana
- Ministerio de Ciencia e Innovación