AbstractGiven a positive integer p, we develop a method to construct difference equations of order greater than or equal to 2 such that all solutions of which are periodic of the same period p. The method of construction is based on a class of symmetric functions that we call “isovertible” functions
summary:Consider the following higher order difference equation \begin{equation*} x(n+1)= f\big (n,x...
We investigate the periodic nature, the boundedness character, and the global attractivity of the po...
AbstractWe prove that every positive solution of the third order difference equation xn=maxAxn−1,Bxn...
AbstractIn this research, we consider a difference equation of order k⩾2 of the following form: yn+1...
AbstractGiven a positive integer p, we develop a method to construct difference equations of order g...
AbstractGiven a non-degenerate interval of real numbers D, and a continuous function f:Dk→D with k≥2...
AbstractWe develop two methods for constructing several new and explicit m-periodic difference equat...
AbstractA new necessary condition for global periodicity of discrete dynamical systems and of differ...
10.1016/S0898-1221(01)00191-2Computers and Mathematics with Applications423-5719-727CMAP
AbstractWe propose a classification and derive the associated normal forms for rational difference e...
We propose a classification and derive the associated normal forms for rational difference equations...
In a difference or differential equation one is usually interested in finding solutions having certa...
AbstractWe apply the continuation theorem of coincidence degree theory to study the existence of pos...
This paper introduces easily verified conditions which guarantee that all solu-tions to the equation...
AbstractWe consider positive solutions of the following difference equation: We prove that every po...
summary:Consider the following higher order difference equation \begin{equation*} x(n+1)= f\big (n,x...
We investigate the periodic nature, the boundedness character, and the global attractivity of the po...
AbstractWe prove that every positive solution of the third order difference equation xn=maxAxn−1,Bxn...
AbstractIn this research, we consider a difference equation of order k⩾2 of the following form: yn+1...
AbstractGiven a positive integer p, we develop a method to construct difference equations of order g...
AbstractGiven a non-degenerate interval of real numbers D, and a continuous function f:Dk→D with k≥2...
AbstractWe develop two methods for constructing several new and explicit m-periodic difference equat...
AbstractA new necessary condition for global periodicity of discrete dynamical systems and of differ...
10.1016/S0898-1221(01)00191-2Computers and Mathematics with Applications423-5719-727CMAP
AbstractWe propose a classification and derive the associated normal forms for rational difference e...
We propose a classification and derive the associated normal forms for rational difference equations...
In a difference or differential equation one is usually interested in finding solutions having certa...
AbstractWe apply the continuation theorem of coincidence degree theory to study the existence of pos...
This paper introduces easily verified conditions which guarantee that all solu-tions to the equation...
AbstractWe consider positive solutions of the following difference equation: We prove that every po...
summary:Consider the following higher order difference equation \begin{equation*} x(n+1)= f\big (n,x...
We investigate the periodic nature, the boundedness character, and the global attractivity of the po...
AbstractWe prove that every positive solution of the third order difference equation xn=maxAxn−1,Bxn...