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Periodic Solutions for Nonlinear Evolution Equations with Non-instantaneous Impulses

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Fečkan M., Wang J., Zhou Y.

Nonautonomous Dynamical Systems

2014

tom 1

nr 1

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.

Ograniczanie wyników

1 Nonautonomous Dynamical Systems

1 Fečkan M.

1 Wang J.

1 Zhou Y.

1 2014

Wyniki wyszukiwania

Periodic Solutions for Nonlinear Evolution Equations with Non-instantaneous Impulses