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The asymptotic stability of theoretical and numerical solutions for systems of neutral multidelay-differential equations

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Abstract

The asymptotic stability of theoretical and numerical solutions for neutral multidelay-differential equations (NMDEs) is dealt with. A sufficient condition on the asymptotic stability of theoretical solutions for NMDEs is obtained. On the basis of this condition, it is proved that A-stability of the multistep Runge-Kutta methods for ODEs is equivalent to NGPk-stability of the induced methods for NMDEs.

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Authors and Affiliations

  1. Department of Mathematics, Huazhong University of Science and Technology, 430074, Wuhan, China

    Chengjian Zhang

  2. Department of Applied Mathematics, Hunan University, 410082, Changsha, China

    Shuzi Zhou

Authors
  1. Chengjian Zhang
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  2. Shuzi Zhou
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Project supported by the National Natural Science Foundation of China (Grant No. 19771034).

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Zhang, C., Zhou, S. The asymptotic stability of theoretical and numerical solutions for systems of neutral multidelay-differential equations. Sci. China Ser. A-Math. 41, 1151–1157 (1998). https://doi.org/10.1007/BF02871977

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  • DOI: https://doi.org/10.1007/BF02871977

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