Exponential stability of nonautonomous linear differential equations with linear perturbations by Liao methods |
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Authors: | Xiongping Dai |
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Affiliation: | Department of Mathematics, Nanjing University, Nanjing 210093, PR China |
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Abstract: | In this paper, the author considers, by Liao methods, the stability of Lyapunov exponents of a nonautonomous linear differential equations: with linear small perturbations. It is proved that, if A(t) is a upper-triangular real n by n matrix-valued function on R+, continuous and uniformly bounded, and if there is a relatively dense sequence in R+, say 0=T0<T1<Ti, such that |
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Keywords: | primary, 34D08, 34D10, 34D20 secondary, 37H05 |
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