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, 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
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.
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.
