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In this paper, a necessary and sufficient condition for the stability ofLyapunov exponents of linear differential system are proved in the sense thatthe equations satisfy the weaker form of integral separation instead of itsclassical one. Furthermore, the existence of full nonuniform exponentialdichotomy spectrum under the condition of weak integral separateness is alsopresented.

Stability of Lyapunov Exponents, Weak Integral Separation and Nonuniform Dichotomy Spectrum