Some sufficient, conditions for boundedness and persistence and global asymptotic stability of solutions for a class of delay difference equations with higher order are obtained, which partly solve G. Ladas' two o...Some sufficient, conditions for boundedness and persistence and global asymptotic stability of solutions for a class of delay difference equations with higher order are obtained, which partly solve G. Ladas' two open problems and extend some known results.展开更多
In this paper, we study oscillation of solutions for a class of high order neutral delay difference equations with variable coefficients -τm [x（t） - c（t）x（t - τ）] = （-1）mp（t）x（t - σ）, t ≥ t0 〉 0. Some...In this paper, we study oscillation of solutions for a class of high order neutral delay difference equations with variable coefficients -τm [x（t） - c（t）x（t - τ）] = （-1）mp（t）x（t - σ）, t ≥ t0 〉 0. Some sufficient conditions are obtained for bounded oscillation of the solutions.展开更多
In this paper, a sufficient condition for boundedness and persistence of the solutions of the following delay difference equation is obtained. A conjecture by G.Ladas is proved herexn+1=A/xpn+B/xqn-1,\ n=0,1,…q, x-1,...In this paper, a sufficient condition for boundedness and persistence of the solutions of the following delay difference equation is obtained. A conjecture by G.Ladas is proved herexn+1=A/xpn+B/xqn-1,\ n=0,1,…q, x-1, x0∈(0,∞). Received June 2,1997. Revised September 15, 1997.1991 MR Subject Classification:39A10.展开更多
In this paper, we study the asymptotic behavior of the positive solutions of a system of the following difference equations：xn＋1=ayn＋bxne^-xn-yn , yn＋1=cxn＋dyne^-xn-yn ,where a, b, c, d are positive constants and...In this paper, we study the asymptotic behavior of the positive solutions of a system of the following difference equations：xn＋1=ayn＋bxne^-xn-yn , yn＋1=cxn＋dyne^-xn-yn ,where a, b, c, d are positive constants and the initial conditions x0 and y0 are positive numbers.展开更多
文摘Some sufficient, conditions for boundedness and persistence and global asymptotic stability of solutions for a class of delay difference equations with higher order are obtained, which partly solve G. Ladas' two open problems and extend some known results.
基金Supported by the National Natural Science Foundation of China (Grant No.10571050)the Science and Research Fund for Higher College of Hunan Province (Grant No.06C054)
文摘In this paper, we study oscillation of solutions for a class of high order neutral delay difference equations with variable coefficients -τm [x（t） - c（t）x（t - τ）] = （-1）mp（t）x（t - σ）, t ≥ t0 〉 0. Some sufficient conditions are obtained for bounded oscillation of the solutions.
文摘In this paper, a sufficient condition for boundedness and persistence of the solutions of the following delay difference equation is obtained. A conjecture by G.Ladas is proved herexn+1=A/xpn+B/xqn-1,\ n=0,1,…q, x-1, x0∈(0,∞). Received June 2,1997. Revised September 15, 1997.1991 MR Subject Classification:39A10.
文摘In this paper, we study the asymptotic behavior of the positive solutions of a system of the following difference equations：xn＋1=ayn＋bxne^-xn-yn , yn＋1=cxn＋dyne^-xn-yn ,where a, b, c, d are positive constants and the initial conditions x0 and y0 are positive numbers.
