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On a Multivalued Version of the Sharkovskii Theorem and Its Application to Differential Inclusions, II

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Abstract

A multivalued version of the celebrated Sharkovskii theorem is established which is applicable to differential equations and inclusions for obtaining subharmonic periodic solutions. The results in our earlier paper (Set-Valued Anal. 10(1) (2002), 1–14) are completed to a sharp form. A multivalued analogue of the Levinson transformation theory (dissipativity implies the existence of harmonics) is stated.

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Authors and Affiliations

  1. Department of Mathematical Analysis, Faculty of Science, Palacký University, Tomkova 40, 779 00, Olomouc-Hejčín, Czech Republic

    Jan Andres, Libor Jüttner & Karel Pastor

Authors
  1. Jan Andres
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  2. Libor Jüttner
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  3. Karel Pastor
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Corresponding author

Correspondence to Jan Andres.

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Mathematics Subject Classifications (2000)

34A60, 34C25, 47H04, 58C06.

Jan Andres: Supported by the Council of Czech Goverment (J14/98:153100011) and by the grant No. 201-00-0768 of the Grant Agency of Czech Republic.

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Andres, J., Jüttner, L. & Pastor, K. On a Multivalued Version of the Sharkovskii Theorem and Its Application to Differential Inclusions, II. Set-Valued Anal 13, 47–68 (2005). https://doi.org/10.1007/s11228-004-8200-z

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  • DOI: https://doi.org/10.1007/s11228-004-8200-z

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