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This paper deals with the asymptotic behavior of Runge-Kutta methods for linear delay-integro-differential-algebraic equations. It was shown that R-K of A-stability preserves the asymptotic stability of the equations under some conditions if applied to the equations. t A xt Bx t Cx t Dx t G x sd s t xt t t τ ττ φτ − ⎧ '' + + − + − + = ≥ ⎪ ⎪ =− ≤ ≤ ⎩

Asymptotic Stability of Runge-Kutta Methods for Linear Delay-integro-diffrential-Algebraic Equation