Green's function for second-order periodic boundary value problems with piecewise constant arguments

Abstract

We obtain, under suitable conditions, the Green's function to express the unique solution for a second-order functional differential equation with periodic boundary conditions and functional dependence given by a piecewise constant function. This expression is given in terms of the solutions for certain associated problems. The sign of the solution is determined taking into account the sign of that Green's function.  2004 Elsevier Inc. All rights reserved.

On the reduction principle for differential equations with piecewise constant argument of generalized type

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