Impulsive resonance periodic problems of first order

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Abstract

We prove a new existence theorem for a nonlinear periodic boundary value problem for a first-order differential equation with impulses at fixed moments. It includes the cases when the nonlinearity and the impulsive functions are either bounded or have sublinear growth.

Keywords

Impulsive differential equation
Periodic boundary value problem
Green's function
Sublinear nonlinearity

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Research partially supported by D.G.E.S.I.C. (Spain), Project PB97-0552.