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Pseudo-almost periodic solutions for non-autonomous neutral differential equations with unbounded delay
Affiliation:1. Departamento de Matemática, I.C.M.C. Universidade de São Paulo, Caixa Postal 668, 13560-970, São Carlos SP, Brazil;2. Departamento de Matemática, Universidad de Santiago Casilla 307, Correo-2, Santiago, Chile
Abstract:In this note we establish the existence of pseudo-almost periodic solutions for a non-autonomous partial neutral functional differential with unbounded delay. We apply our abstract results to establish the existence of this type of solutions for a neutral differential equation which arises in the theory of heat conduction in materials with fading memory.
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