Almost periodic solutions of of parabolic type equations with impulsive action

V. Tkachenko

Abstract


In an abstract Banach space we study conditions for the existence of piecewise continuous almost periodic solutions for semi-linear impulsive differential equations with unbounded operators in linear parts of impulsive action. As an application, we give conditions for existence and stability of piecewise continuous almost periodic solutions for parabolic equations with unbounded operators in linear parts of impulsive action.

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