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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Large time behavior for discontinuous dynamics on Hilbert spaces
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by Víctor H. Cortés and Humberto Prado
Proc. Amer. Math. Soc. 125 (1997), 1019-1026
DOI: https://doi.org/10.1090/S0002-9939-97-03555-7

Abstract:

This paper is concerned with the behavior in time for a certain class of dynamics which are discontinuous with respect to the time variable. We introduce the corresponding wave operators and we ensure their existence. Moreover, under suitable conditions this class of wave operators can be approximated in the strong sense by a sequence of ordinary wave operators. Our results can be applied to impulsive dynamical systems.
References
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Bibliographic Information
  • Víctor H. Cortés
  • Affiliation: Departamento de Matemáticas, Universidad Católica del Norte, Casilla 1280, Anto- fagasta, Chile
  • Address at time of publication: Departamento de Matemática y Cs. C., Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago, Chile
  • Email: hprado@fermat.usach.cl
  • Humberto Prado
  • Affiliation: Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Casilla 114-D, Santiago, Chile
  • Received by editor(s): July 14, 1995
  • Additional Notes: This research has been partially supported by FONDECYT through grant 1930023, and UCN 40340209
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 1019-1026
  • MSC (1991): Primary 47A40, 47B48, 47A53, 47A58
  • DOI: https://doi.org/10.1090/S0002-9939-97-03555-7
  • MathSciNet review: 1346985