AN EXPONENTIAL STABILITY PROBLEM ON THE SMALL DELAY LINEAR SYSTEM

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Abstract: In this paper, we define the mild solution of the delay system, and consider the eristence and uniqueness of the mild solution of the delay system. The relationship between the solution of linear system and the one of the delay system will be considered.And we also discuss the exponential stability equivalence between the solution of the linear system and the mild solution of the delay system.

Key words: Delay system, (C₀) semigroup, (1,A) semigroup, Exponential stability

Song Guozhu, Shen Junhao. AN EXPONENTIAL STABILITY PROBLEM ON THE SMALL DELAY LINEAR SYSTEM[J].Acta mathematica scientia,Series B, 1997, 17(4): 376-384.

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