most citedVariational problems of Herglotz type with time delay: DuBois-Reymond condition and Noether's first theorem

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math.OC2015★ 48 cited

Variational problems of Herglotz type with time delay: DuBois-Reymond condition and Noether's first theorem

Simao P. S. Santos, Natalia Martins, Delfim F. M. Torres

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 corollarie…