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ArticleOriginal scientific text

Title

Partially dissipative periodic processes

Authors 1, 2, 3

Affiliations

  1. Department of Mathematical Analysis, Faculty of Science, Palacký University, Tomkova 40, 779 00 Olomouc-Hejčín, Czech Republic
  2. Department of Mathematics, Nicolas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
  3. Institute of Mathematics, University of Gdańsk, ul. Wita Stwosza 57, 80-952 Gdańsk-Oliwa, Poland

Abstract

Further extension of the Levinson transformation theory is performed for partially dissipative periodic processes via the fixed point index. Thus, for example, the periodic problem for differential inclusions can be treated by means of the multivalued Poincaré translation operator. In a certain case, the well-known Ważewski principle can also be generalized in this way, because no transversality is required on the boundary.

Keywords

ENG
large-period forced oscillations, partial dissipativity, Poincaré translation operator, fixed point index, differential inclusions, Periodic processes

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Banach Center Publications
1996/35/1
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Pages:
109-118
Main language of publication
English
Published
1996
Exact and natural sciences