AbstractConsider the difference equation (∗)xn+1=βxn−g(xn),n=0,1,…, arising as a discrete-time network of single neuron, where β is the internal decay rate, g is a signal function with McCulloch–Pitts nonlinearity. For any positive integers k and m, necessary and sufficient conditions are obtained for (∗) has a periodic solution of period 2k+1 or 2m. In addition, sufficient conditions are also given for (∗) has a (2k+1)2m-periodic solution
AbstractIn this paper, we give necessary and sufficient conditions for generalized solution and peri...
Abstract In this paper, we consider the nonlinear difference equation , where with and and ...
AbstractThe authors consider the 2nth-order difference equationΔn(rt−nΔnxt−n)+f(t,xt)=0,n∈Z(3),t∈Z, ...
AbstractWe propose the difference equation xn+1 = xn − f(xn−k) as a model for a single neuron with n...
This paper is dealt with the following system of difference equations xn+1=an/xn+bn/yn,yn+1=cn/xn+dn...
AbstractIn this note, we consider the nonlinear difference equation, xn+1=f(xn,xn−k),n=0,1,... where...
AbstractWe show that every solution of the difference equation xn+1=max{1xn,Axn−1},n=0,1,..., where...
In this paper we consider a discrete dynamical system x n+1=βx n – g(x n&nb...
AbstractIn this paper, we use the upper and lower solutions method to show that there existsa λ*, su...
We give a remark about the periodic character of positive solutions of the difference equation xn+1 ...
AbstractIn this research, we consider a difference equation of order k⩾2 of the following form: yn+1...
For nonlinear difference equations of the form xn=F(n,xn−1,…,xn−m), it is usually difficult to find ...
In this paper, we investigate the periodicities and long-term behaviour of the nonlinear difference ...
10.1016/S0898-1221(01)00191-2Computers and Mathematics with Applications423-5719-727CMAP
In this paper, we consider a non-autonomous piecewise linear difference equation that describes a di...
AbstractIn this paper, we give necessary and sufficient conditions for generalized solution and peri...
Abstract In this paper, we consider the nonlinear difference equation , where with and and ...
AbstractThe authors consider the 2nth-order difference equationΔn(rt−nΔnxt−n)+f(t,xt)=0,n∈Z(3),t∈Z, ...
AbstractWe propose the difference equation xn+1 = xn − f(xn−k) as a model for a single neuron with n...
This paper is dealt with the following system of difference equations xn+1=an/xn+bn/yn,yn+1=cn/xn+dn...
AbstractIn this note, we consider the nonlinear difference equation, xn+1=f(xn,xn−k),n=0,1,... where...
AbstractWe show that every solution of the difference equation xn+1=max{1xn,Axn−1},n=0,1,..., where...
In this paper we consider a discrete dynamical system x n+1=βx n – g(x n&nb...
AbstractIn this paper, we use the upper and lower solutions method to show that there existsa λ*, su...
We give a remark about the periodic character of positive solutions of the difference equation xn+1 ...
AbstractIn this research, we consider a difference equation of order k⩾2 of the following form: yn+1...
For nonlinear difference equations of the form xn=F(n,xn−1,…,xn−m), it is usually difficult to find ...
In this paper, we investigate the periodicities and long-term behaviour of the nonlinear difference ...
10.1016/S0898-1221(01)00191-2Computers and Mathematics with Applications423-5719-727CMAP
In this paper, we consider a non-autonomous piecewise linear difference equation that describes a di...
AbstractIn this paper, we give necessary and sufficient conditions for generalized solution and peri...
Abstract In this paper, we consider the nonlinear difference equation , where with and and ...
AbstractThe authors consider the 2nth-order difference equationΔn(rt−nΔnxt−n)+f(t,xt)=0,n∈Z(3),t∈Z, ...
DOI
Add to ORKG![The Periodic Character of the Difference Equation <inline-formula> <graphic file="1687-1847-2008-143723-i1.gif"/></inline-formula>](/en/item/26298381/The-Periodic-Character-of-the-Difference-Equation-lessinline-formulagreater-lessgraphic-file"1687-1847-2008-143723-i1.gif"greaterlessinline-formulagreater){kind=link}