A Perron-type theorem for nonautonomous difference equations with nonuniform behavior

作者：Zhu Hailong^*; Zhang Can; Jiang Yongxin

来源：Electronic Journal of Qualitative Theory of Differential Equations, 2015, (36): 1-15.

DOI：10.14232/ejqtde.2015.1.36

• (h, k, mu, nu)-dichotomies
• h-Lyapunov exponent
• nonautonomous difference equations

We show that if the Lyapunov exponents of a linear difference equation are limits, then the same happens with the Lyapunov exponents of the solutions of the nonlinear equations for any sufficiently small nonlinear perturbations. We consider the case with a very general nonuniform behavior, which is called nonuniform ( h, k, mu, nu) behavior.

• 出版日期2015
• 单位安徽财经大学; 河海大学