Partially dissipative periodic processes

Jan Andres; Lech Górniewicz; Marta Lewicka

Banach Center Publications (1996)

  • Volume: 35, Issue: 1, page 109-118
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Andres, Jan, Górniewicz, Lech, and Lewicka, Marta. "Partially dissipative periodic processes." Banach Center Publications 35.1 (1996): 109-118. <http://eudml.org/doc/251310>.

@article{Andres1996,
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.},
author = {Andres, Jan, Górniewicz, Lech, Lewicka, Marta},
journal = {Banach Center Publications},
keywords = {large-period forced oscillations; partial dissipativity; Poincaré translation operator; fixed point index; differential inclusions; Periodic processes; Levinson transformation theory; partially dissipative periodic processes; periodic problem for differential inclusions; multivalued Poincaré translation operator; Ważewski principle},
language = {eng},
number = {1},
pages = {109-118},
title = {Partially dissipative periodic processes},
url = {http://eudml.org/doc/251310},
volume = {35},
year = {1996},
}

TY - JOUR
AU - Andres, Jan
AU - Górniewicz, Lech
AU - Lewicka, Marta
TI - Partially dissipative periodic processes
JO - Banach Center Publications
PY - 1996
VL - 35
IS - 1
SP - 109
EP - 118
AB - 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.
LA - eng
KW - large-period forced oscillations; partial dissipativity; Poincaré translation operator; fixed point index; differential inclusions; Periodic processes; Levinson transformation theory; partially dissipative periodic processes; periodic problem for differential inclusions; multivalued Poincaré translation operator; Ważewski principle
UR - http://eudml.org/doc/251310
ER -

References

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