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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Second order singular periodic problems in the presence of dry friction
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by A. Cabada and L. Sanchez PDF
Proc. Amer. Math. Soc. 131 (2003), 2137-2144 Request permission

Abstract:

We prove, via an approach by ordinary differential equations, the existence of oscillations for second order inclusions with restoring terms with singularities both of repulsive and attractive type and with a dry friction term.
References
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Additional Information
  • A. Cabada
  • Affiliation: Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain
  • Email: cabada@usc.es
  • L. Sanchez
  • Affiliation: Centro de Matemática e Aplicações Fundamentais, Universidade de Lisboa, Avenida Professor Gama Pinto, 2, 1649-003 Lisboa, Portugal
  • Email: sanchez@lmc.fc.ul.pt
  • Received by editor(s): October 23, 2001
  • Received by editor(s) in revised form: February 18, 2002
  • Published electronically: October 24, 2002
  • Additional Notes: The first author’s research was supported by D.G.I. project BFM 2001–3884–C02–01 and Acción integrada Hispano - Lusa HP199-0026
    The second author’s research was supported by Fundação para a Ciência e a Tecnologia and Acção Integrada Luso-Espanhola E/93-00
  • Communicated by: Carmen C. Chicone
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 2137-2144
  • MSC (2000): Primary 34B15, 34C25
  • DOI: https://doi.org/10.1090/S0002-9939-02-06766-7
  • MathSciNet review: 1963760