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.
@article{bwmeta1.element.bwnjournal-article-bcpv35i1p109bwm,
author = {Andres, Jan and G\'orniewicz, Lech and Lewicka, Marta},
title = {Partially dissipative periodic processes},
journal = {Banach Center Publications},
volume = {37},
year = {1996},
pages = {109-118},
zbl = {0845.34026},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv35i1p109bwm}
}
Andres, Jan; Górniewicz, Lech; Lewicka, Marta. Partially dissipative periodic processes. Banach Center Publications, Tome 37 (1996) pp. 109-118. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv35i1p109bwm/
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