In this article, we study a higher-order nonlinear difference equation. By using critical point theory, we establish sufficient conditions for the existence of periodic solutions
By using the critical point theory, we establish some existence criteria to guarantee that the nonl...
We obtain a sufficient condition for the existence of periodic and subharmonic solutions of second-...
AbstractThe authors consider the fourth-order difference equation,Δ2(rn−2Δ2xn−2)+f(n,xn)=0,n∈Z,where...
The authors consider the second-order nonlinear difference equation of the type using critical po...
Abstract Based on a continuation theorem of Mawhin, the existence of a periodic solution for a highe...
The authors consider the second-order nonlinear difference equation of the type ΔpnΔxn−1 δ qnx δ n...
A fourth-order nonlinear difference equation is considered. By making use of critical point theory, ...
summary:Based on the fixed-point theorem in a cone and some analysis skill, a new sufficient conditi...
summary:Based on the fixed-point theorem in a cone and some analysis skill, a new sufficient conditi...
AbstractIn this paper, we obtain some new sufficient conditions for the existence of nontrivial m-pe...
AbstractIn this paper, we obtain some new sufficient conditions for the existence of nontrivial m-pe...
Consider the following higher order difference equation \begin{equation*} x(n+1)= f(n,x(n))+g(n,x(n...
AbstractThe authors consider the 2nth-order difference equationΔn(rt−nΔnxt−n)+f(t,xt)=0,n∈Z(3),t∈Z, ...
Difference equations arise in many fields of mathematics, both as discrete analogs of continuous beh...
We consider a 2nth-order nonlinear difference equation containing both many advances and retardation...
By using the critical point theory, we establish some existence criteria to guarantee that the nonl...
We obtain a sufficient condition for the existence of periodic and subharmonic solutions of second-...
AbstractThe authors consider the fourth-order difference equation,Δ2(rn−2Δ2xn−2)+f(n,xn)=0,n∈Z,where...
The authors consider the second-order nonlinear difference equation of the type using critical po...
Abstract Based on a continuation theorem of Mawhin, the existence of a periodic solution for a highe...
The authors consider the second-order nonlinear difference equation of the type ΔpnΔxn−1 δ qnx δ n...
A fourth-order nonlinear difference equation is considered. By making use of critical point theory, ...
summary:Based on the fixed-point theorem in a cone and some analysis skill, a new sufficient conditi...
summary:Based on the fixed-point theorem in a cone and some analysis skill, a new sufficient conditi...
AbstractIn this paper, we obtain some new sufficient conditions for the existence of nontrivial m-pe...
AbstractIn this paper, we obtain some new sufficient conditions for the existence of nontrivial m-pe...
Consider the following higher order difference equation \begin{equation*} x(n+1)= f(n,x(n))+g(n,x(n...
AbstractThe authors consider the 2nth-order difference equationΔn(rt−nΔnxt−n)+f(t,xt)=0,n∈Z(3),t∈Z, ...
Difference equations arise in many fields of mathematics, both as discrete analogs of continuous beh...
We consider a 2nth-order nonlinear difference equation containing both many advances and retardation...
By using the critical point theory, we establish some existence criteria to guarantee that the nonl...
We obtain a sufficient condition for the existence of periodic and subharmonic solutions of second-...
AbstractThe authors consider the fourth-order difference equation,Δ2(rn−2Δ2xn−2)+f(n,xn)=0,n∈Z,where...