Advances in Difference Equations · 2013 · 42 citations · 32 references
Natural SciencesMathematicsApplied MechanicsDifferential EquationsDynamical SystemsInitial Value ProblemsOperator TheoryAlmost Periodic SolutionsComposition TheoremsImpulsive SystemsMild SolutionsPeriodic Solutions Of Differential EquationsPiecewise Functions
In this paper, we introduce the concept of piecewise pseudo almost periodic functions on a Banach space and establish some composition theorems of piecewise pseudo almost periodic functions. We apply these composition theorems to investigate the existence of piecewise pseudo almost periodic (mild) solutions to abstract impulsive differential equations. In addition, the stability of piecewise pseudo almost periodic solutions is considered.
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