2011Journal of Shanghai Normal UniversityRequires access

Asymptotic stability of two-step Runge-Kutta methods for generalized neutral delay differential-algebraic equations

Xiaoyan Li

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Abstract

We consider the asymptotic stability of two-step Runge-Kutta methods for generalized neutral delay differential-algebraic equations,which have different delays in the entries of the vector valued unknown functions.Thus our results are more general than those already reported.

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What this paper is about

We consider the asymptotic stability of two-step Runge-Kutta methods for generalized neutral delay differential-algebraic equations,which have different delays in the entries of the vector valued unknown functions.Thus our results are more general than those already reported.

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Available abstract

We consider the asymptotic stability of two-step Runge-Kutta methods for generalized neutral delay differential-algebraic equations,which have different delays in the entries of the vector valued unknown functions.Thus our results are more general than those already reported.

Key concepts: Mathematics, Runge–Kutta methods, Algebraic number, Differential algebraic equation, Delay differential equation, Stability (learning theory), Applied mathematics, Exponential stability

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