Positive almost periodic type solutions to a class of nonlinear difference equation

This paper is concerned with positive almost periodic type solutions to a class of nonlinear difference equation with delay. By using a fixed point theorem in partially ordered Banach spaces, we establish several theorems about the existence and uniqueness of positive almost periodic type solutions to the addressed difference equation. In addition, in order to prove our main results, some basic and important properties about pseudo almost periodic sequences are presented

CnC^n-almost periodic and almost periodic solutions for some nonlinear integral equations

In this paper, we investigate the existence of $C^n$-almost periodic solution for a class of nonlinear Fredholm integral equations, and the existence of almost periodic solution for a class of nonlinear functional integral equations. Our existence theorems extend some earlier results. Two examples are given to illustrate our results

Common Fixed Points of Weak Contractions in Cone Metric Spaces

Results on common fixed points of mappings in cone metric spaces under weak contractive conditions (B. S. Choudhury and N. Metiya (2010)) are unified and generalized. Also, cone metric versions of some other related results on weak contractions are proved. Examples show that our results are different than the existing ones

Multiple Periodic Solutions for Discrete Nicholson’s Blowflies Type System

This paper is concerned with the existence of multiple periodic solutions for discrete Nicholson’s blowflies type system. By using the Leggett-Williams fixed point theorem, we obtain the existence of three nonnegative periodic solutions for discrete Nicholson’s blowflies type system. In order to show that, we first establish the existence of three nonnegative periodic solutions for the n-dimensional functional difference system yk+1=Akyk+fk, yk-τ, k∈ℤ, where Ak is not assumed to be diagonal as in some earlier results. In addition, a concrete example is also given to illustrate our results