Condições suficientes de otimalidade em cálculo variacional

• Ano de defesa: 2013
• Autor(a) principal: Rojas Jara, Rocío del Pilar [UNESP]
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Estadual Paulista (Unesp)
• Palavras-chave em Português: Cálculo variacional; Condições de otimalidade; Convexidade generalizada
• Link de acesso: http://hdl.handle.net/11449/127550; http://www.athena.biblioteca.unesp.br/exlibris/bd/cathedra/11-09-2015/000846652.pdf

In this work we consider two variational problems with Lagrangian constraints of type g(t, x(t), x_ (t)) = 0. We present several results on su cient conditions for Kuhn-Tucker optimality assuming generalized invexity of the functions involved. We introduce two de nitions for the variational problems, the rst called L-KT-pseudo-invexity, which involves the Lagrangian multipliers and the second called KT-pseudo-invexity, which does not involve the Lagrangian multipliers. We present a characterization of L-KTpseudo- invex variational problems as those problems where all Kuhn-Tucker points are optimal solutions. Finally we show that, under some conditions, L-KT-pseudo-invexity is equivalent to KT-pseudo-invexity