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Stability of Lyapunov Exponents, Weak Integral Separation and Nonuniform Dichotomy Spectrum (1902.04301v1)
Published 12 Feb 2019 in math.DS
Abstract: In this paper, a necessary and sufficient condition for the stability of Lyapunov exponents of linear differential system are proved in the sense that the equations satisfy the weaker form of integral separation instead of its classical one. Furthermore, the existence of full nonuniform exponential dichotomy spectrum under the condition of weak integral separateness is also presented.
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