# Periodic Solutions for Nonlinear Evolution Equations with Non-instantaneous Impulses

Michal Fečkan; JinRong Wang; Yong Zhou

Nonautonomous Dynamical Systems (2014)

- Volume: 1, Issue: 1, page 93-101, electronic only
- ISSN: 2353-0626

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topMichal Fečkan, JinRong Wang, and Yong Zhou. "Periodic Solutions for Nonlinear Evolution Equations with Non-instantaneous Impulses." Nonautonomous Dynamical Systems 1.1 (2014): 93-101, electronic only. <http://eudml.org/doc/267050>.

@article{MichalFečkan2014,

abstract = {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.},

author = {Michal Fečkan, JinRong Wang, Yong Zhou},

journal = {Nonautonomous Dynamical Systems},

keywords = {Nonlinear evolution equations; Non-instantaneous impulses; Periodic solutions; Attractor; Existence; nonlinear evolution equations; non-instantaneous impulses; periodic solutions; attractor; existence},

language = {eng},

number = {1},

pages = {93-101, electronic only},

title = {Periodic Solutions for Nonlinear Evolution Equations with Non-instantaneous Impulses},

url = {http://eudml.org/doc/267050},

volume = {1},

year = {2014},

}

TY - JOUR

AU - Michal Fečkan

AU - JinRong Wang

AU - Yong Zhou

TI - Periodic Solutions for Nonlinear Evolution Equations with Non-instantaneous Impulses

JO - Nonautonomous Dynamical Systems

PY - 2014

VL - 1

IS - 1

SP - 93

EP - 101, electronic only

AB - 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.

LA - eng

KW - Nonlinear evolution equations; Non-instantaneous impulses; Periodic solutions; Attractor; Existence; nonlinear evolution equations; non-instantaneous impulses; periodic solutions; attractor; existence

UR - http://eudml.org/doc/267050

ER -

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