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Periodic Solutions of Pendulum-Like Perturbations of Singular and Bounded \({\phi}\)-Laplacians

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Abstract

In this paper we study the existence and multiplicity of periodic solutions of pendulum-like perturbations of bounded or singular \({\phi}\)-Laplacians. Our approach relies on the Leray-Schauder degree and the upper and lower solutions method.

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Authors and Affiliations

  1. Institute of Mathematics “Simion Stoilow” of the Romanian Academy, 21, Calea Griviţei Str., Sector 1, 010702, Bucharest, România

    Cristian Bereanu

  2. Department of Mathematics, West University of Timişoara, 4, Blvd. V. Pârvan, 300223, Timişoara, România

    Petru Jebelean

  3. Institut de Mathématique et Physique, Université Catholique de Louvain, 2, Chemin du Cyclotron, 1348, Louvain-la-Neuve, Belgique

    Jean Mawhin

Authors
  1. Cristian Bereanu
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  2. Petru Jebelean
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  3. Jean Mawhin
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Corresponding author

Correspondence to Cristian Bereanu.

Additional information

This manuscript is dedicated to Professor Jack Hale on the occasion of his 80th birthday.

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Bereanu, C., Jebelean, P. & Mawhin, J. Periodic Solutions of Pendulum-Like Perturbations of Singular and Bounded \({\phi}\)-Laplacians. J Dyn Diff Equat 22, 463–471 (2010). https://doi.org/10.1007/s10884-010-9172-3

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  • DOI: https://doi.org/10.1007/s10884-010-9172-3

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