Periodic Solutions for Nonlinear Evolution Equations with Non-instantaneous Impulses
Michal Fečkan ; JinRong Wang ; Yong Zhou
Nonautonomous Dynamical Systems, Tome 1 (2014), / Harvested from The Polish Digital Mathematics Library
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In this paper, we consider periodic solutions for a class of nonlinear evolution equations with non-instantaneous impulses on Banach spaces. By constructing a Poincaré operator, which is a composition of the maps and using the techniques of a priori estimate, we avoid assuming that periodic solution is bounded like in [1-4] and try to present new sufficient conditions on the existence of periodic mild solutions for such problems by utilizing semigroup theory and Leray-Schauder's fixed point theorem. Furthermore, existence of a global compact connected attractor for the Poincaré operator is derived.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:267050 
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     author = {Michal Fe\v ckan and JinRong Wang and Yong Zhou},
     title = {Periodic Solutions for Nonlinear Evolution Equations with Non-instantaneous Impulses},
     journal = {Nonautonomous Dynamical Systems},
     volume = {1},
     year = {2014},
     zbl = {1311.34094},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_msds-2014-0004}
}

Michal Fečkan; JinRong Wang; Yong Zhou. Periodic Solutions for Nonlinear Evolution Equations with Non-instantaneous Impulses. Nonautonomous Dynamical Systems, Tome 1 (2014) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_msds-2014-0004/

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