Garyfalos Papaschinopoulos

Study of the asymptotic behavior of the solutions of three systems of difference equations of exponential form

In this paper we study the boundedness, the persistence and the asymptotic behavior of the positive solutions of the following systems of two difference equations of exponential form: xnþ1 ¼ a þ be � yn c þ yn� 1 ; y nþ1 ¼ d þ � e � xn f þ xn� 1 ;

Global asymptotic behavior of positive solutions on the system of rational difference equations xn+1 = 1 + xnyn−m, yn+1 = 1 + ynxn−m

Abstract In this paper, we study the boundedness, persistence, and the global asymptotic behavior of the positive solutions of the system of two difference equations x n +1 = 1 + x n y n−m , y n +1 = 1 + y n x n−m , n = 0, 1, … , where xi, yi, i = −m, −m + 1,…, 0 are positive numbers and m is a positive integer.

On the system of two difference equations of exponential form: xn+1=a+bxn−1e−yn,yn+1=c+dyn−1e−xn

Abstract It is the goal of this paper to study the boundedness, the persistence and the asymptotic behavior of the positive solutions of the system of two difference equations of exponential form x n + 1 = a + b x n − 1 e − y n , y n + 1 = c + d y n − 1 e − x n , where a , b , c , d are positive constants, and the initial values x − 1 , x 0 , y − 1 , y 0 are positive real values.

On the fuzzy difference equation x n +1 = A + x n /x n-m

In this paper we study the existence the boundedness and the asymptotic behavior of the positive solutions of the fuzzy equation xn÷1 = A+xn/xn-m, n=0,1... where xn is a sequence of fuzzy numbers, A is a fuzzy number and m ∈ {1,2,...}.

On the fuzzy difference equation xn+1 = A+B/xn.

Abstract In this paper we study the existence the oscillatory behavior the boundedness and the asymptotic behavior of the positive solutions of the fuzzy equation xn+1=A+B/xn,n=0,1,… where xn is a sequence of fuzzy numbers, A, B are fuzzy numbers.

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 a system of difference equations including negative exponential terms

In this paper we study the asymptotic behaviour of the positive solutions of the system of two difference equationswhere are positive constants and the initial values are positive numbers.

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.

Oscillation and asymptotic stability of two systems of difference equations of rational form

We study the oscillatory behavior and asymptotic stability of the systems of two difference equations of rational form and where n = 0, 1,… and are positive constants