A discrete analogue of Lyapunov-type inequalities for nonlinear difference systems

作者：He, Xiaofei^*; Zhang, Qi-ming

来源：Computers & Mathematics with Applications, 2011, 62(2): 677-684.

DOI：10.1016/j.camwa.2011.05.049

• Nonlinear difference system
• Lyapunov inequality
• Generalized zero

In this paper, we establish several new Lyapunov-type inequalities for the nonlinear difference system
{Delta x(n) = alpha(n)x(n + 1) + beta(n)vertical bar y(n)vertical bar(mu-2)y(n),
Delta y(n) = -gamma(n)vertical bar x(n + 1)vertical bar(nu-2)x(n + 1) -alpha(n)y(n),
when the end-points are not necessarily usual zeros, but rather, generalized zeros. Our results improve almost all related existing ones.

• 出版日期2011-7
• 单位吉首大学