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Stepsize Restrictions for Nonlinear Stability Properties of Neutral Delay Differential Equations

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  • Wei Gu
  • Ming Wang
  • Dongfang Li

Abstract

The present paper is concerned with the relationship between stepsize restriction and nonlinear stability of Runge-Kutta methods for delay differential equations. We obtain a special stepsize condition guaranteeing global and asymptotical stability properties of numerical methods. Some confirmations of the conditions on Runge-Kutta methods are illustrated at last.

Suggested Citation

  • Wei Gu & Ming Wang & Dongfang Li, 2014. "Stepsize Restrictions for Nonlinear Stability Properties of Neutral Delay Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, July.
    • Handle: RePEc:hin:jnlaaa:304071
    DOI: 10.1155/2014/304071
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