Absolute continuity and existence of solutions to dynamic inclusions in time scales

Autor(es)

Santos, Iguer L. D. ^[1] ; Silva, Geraldo N. ^[1]

Afiliação do(s) autor(es)

^[1] UNESP Univ Estadual Paulista, BR-15054100 Sao Jose Do Rio Preto, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: MATHEMATISCHE ANNALEN; v. 356, n. 1, p. 373-399, MAY 2013.
• Citações Web of Science: 6

Resumo

We provide some properties for absolutely continuous functions in time scales. Then we consider a class of dynamical inclusions in time scales and extend to this class a convergence result of a sequence of almost inclusion trajectories to a limit which is actually a trajectory of the inclusion in question. We also introduce the so called Euler solution to dynamical systems in time scales and prove its existence. A combination of the existence of Euler solutions with the compactness type result described above ensures the existence of an actual trajectory for the dynamical inclusion when the setvalued vector field is nonempty, compact, convex and has closed graph. (AU)

• Processo FAPESP: 09/18643-0 - Controle ótimo de sistemas não lineares
• Beneficiário: Geraldo Nunes Silva
• Modalidade de apoio: Auxílio à Pesquisa - Regular