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|Title:||Variational problems of Herglotz type with time delay: DuBois-Reymond condition and Noether's first theorem|
|Author:||Santos, S. P. S.|
Torres, D. F. M.
|Keywords:||DuBois-Reymond necessary optimality condition|
Euler-Lagrange differential equations
Herglotz's calculus of variations
|Publisher:||American Institute of Mathematical Sciences (AIMS)|
|Abstract:||We extend the DuBois-Reymond necessary optimality condition and Noether's first theorem to variational problems of Herglotz type with time delay. Our results provide, as corollaries, the DuBois-Reymond necessary optimality condition and the first Noether theorem for variational problems with time delay recently proved in [Numer. Algebra Control Optim. 2(2012), no. 3, 619-630]. Our main result is also a generalization of the first Noether-type theorem for the generalized variational principle of Herglotz proved in [Topol. Methods Nonlinear Anal. 20(2002), no. 2, 261-273].|
|Appears in Collections:||CIDMA - Artigos|
SCG - Artigos
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