Some new oscillation criteria for nonlinear delay difference equation with damping △^2xn+pn△xn+F(n,x(n-τ,△x(n-σ)=0,n=0,1,2,…,(*)are given. Our results partially solve the open problem posed in [Math. Bo...Some new oscillation criteria for nonlinear delay difference equation with damping △^2xn+pn△xn+F(n,x(n-τ,△x(n-σ)=0,n=0,1,2,…,(*)are given. Our results partially solve the open problem posed in [Math. Bohemica, 125 (2000), 421- 430]. Also, we will establish some new oscillation criteria for special cases of (*), which improve some of the well-known results in the literature.展开更多
文摘Some new oscillation criteria for nonlinear delay difference equation with damping △^2xn+pn△xn+F(n,x(n-τ,△x(n-σ)=0,n=0,1,2,…,(*)are given. Our results partially solve the open problem posed in [Math. Bohemica, 125 (2000), 421- 430]. Also, we will establish some new oscillation criteria for special cases of (*), which improve some of the well-known results in the literature.