Department of Applied Mathematics, Zhejiang University ofTechnology, Hangzhou 310023, China.
Abstract:
In this paper, the author studies the existence and uniqueness of
discrete pseudo asymptotically periodic solutions for nonlinear
Volterra difference equations of convolution type, where the
nonlinear perturbation is considered as Lipschitz condition or
non-Lipschitz case, respectively. The results are a consequence of
application of different fixed point theorems, namely, the
contraction mapping principle, the Leray-Schauder alternative
theorem and Matkowski''s fixed point technique.