Second order dynamical systems with penalty terms associated to monotone inclusions
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LASZLO, Szilard, BOȚ, R.I., CSETNEK, E.R.. Second order dynamical systems with penalty terms associated to monotone inclusions. In: Conference on Applied and Industrial Mathematics: CAIM 2017, 14-17 septembrie 2017, Iași. Chișinău: Casa Editorial-Poligrafică „Bons Offices”, 2017, Ediţia 25, p. 19. ISBN 978-9975-76-247-2.
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Conference on Applied and Industrial Mathematics
Ediţia 25, 2017
Conferința "Conference on Applied and Industrial Mathematics"
Iași, Romania, 14-17 septembrie 2017

Second order dynamical systems with penalty terms associated to monotone inclusions


Pag. 19-19

Laszlo Szilard, Boț R.I., Csetnek E.R.
 
Technical University of Cluj-Napoca
 
 
Disponibil în IBN: 22 septembrie 2022


Rezumat

In this paper we investigate in a Hilbert space setting a second order dynamical system of the form.We show the existence and uniqueness of strong global solutions in the framework of the Cauchy-Lipschitz-Picard Theorem and prove ergodic asymptotic convergence for the generated trajectories to a zero of the operator.

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