Strong minimizers of the calculus of variations on time scales and the Weierstr...

• Autor(es): Malinowska, A.B. ; Torres, D.F.M.
• Data: 2009
• Identificador Persistente: http://hdl.handle.net/10773/4083
• Origem: RIA - Repositório Institucional da Universidade de Aveiro
• Assunto(s): Calculus of variations; Strong minimizers; Time scales; Weierstrass optimality condition
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

We introduce the notion of strong local minimizer for the problems of the calculus of variations on time scales. Simple examples show that on a time scale a weak minimum is not necessarily a strong minimum. A time scale form of the Weierstrass necessary optimality condition is proved, which enables to include and generalize in the same result both continuous-time and discrete-time conditions.