Gesthimani Stefanidou

Boundedness and asymptotic behavior of the solutions of a fuzzy difference equation

In this paper we study the existence, the uniqueness, the boundedness and the asymptotic behavior of the positive solutions of the fuzzy difference equation xn+1=∑i=0kAi/xn−ipi, where k∈{1,2,…,},Ai, i∈{0,1,…,k}, are positive fuzzy numbers, pi, i∈{0,1,…,k}, are positive constants and xi,i∈{−k,−k+1,…,0}, are positive fuzzy numbers.

On a k-Order System of Lyness-Type Difference Equations

We consider the following system of Lyness-type difference equations: , , , , where , , , are positive constants, is an integer, and the initial values are positive real numbers. We study the existence of invariants, the boundedness, the persistence, and the periodicity of the positive solutions of this system.

On the Recursive Sequence Open image in new window

In this paper we study the boundedness, the persistence, the attractivity and the stability of the positive solutions of the nonlinear difference equation , where and . Moreover we investigate the existence of a prime two periodic solution of the above equation and we find solutions which converge to this periodic solution.

On a difference equation with 3-periodic coefficient

We study the periodicity, the boundedness and the asymptotic behavior of the positive solutions of the non-autonomous difference equation: where p n , n = 0, 1, …, is a positive sequence of period 3.

On an Exponential-Type Fuzzy Difference Equation

Our goal is to investigate the existence of the positive solutions, the existence of a nonnegative equilibrium, and the convergence of a positive solution to a nonnegative equilibrium of the fuzzy difference equation , , , where and the initial values belong in a class of fuzzy numbers.

Boundedness, periodicity and stability of the difference equation Xn+1 = An + (Xn−1)/Xn)p

This paper studies the boundedness, the persistence, the periodicity and the stability of the positive solutions of the non-autonomous difference equation: Xn+1 = An + (Xn−1)/Xn)p where An is a positive bounded sequence, p ∈ (0, 1) ∪ (1, ∞) and X1, X0 ∈ (0, ∞)