A PERRON-TYPE THEOREM FOR NONAUTONOMOUS DIFFERENTIAL EQUATIONS WITH DIFFERENT GROWTH RATES

作者：Jiang Yongxin^*; Zhang Can; Feng Zhaosheng

来源：Discrete and Continuous Dynamical Systems - Series S, 2017, 10(5): 995-1008.

DOI：10.3934/dcdss.20l7052

We show that if the Lyapunov exponents associated to a linear equation x' = A(t)x are equal to the given limits, then this asymptotic behavior can be reproduced by the solutions of the nonlinear equation x' = A(t)x + f (t, x) for any sufficiently small perturbation f. We consider the linear equation with a very general nonuniform behavior which has different growth rates.

• 出版日期2017-10
• 单位河海大学