In this paper we introduce the class of (N, λ) -periodic vector-valued sequences and show several notable properties of this new class. This class includes periodic, anti-periodic, Bloch and unbounded sequences. Furthermore, we show the existence and uniqueness of (N, λ) -periodic solutions to the following class of Volterra difference equations with infinite delay: u(n+1)=α∑j=−∞na(n−j)u(j)+f(n,u(n)),n∈Z,α∈C, where the kernel a and the nonlinear term f satisfy suitable conditions.
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Tipo publicación
On The Existence And Uniqueness Of (N, Lambda)-Periodic Solutions To A Class Of Volterra Difference Equations
