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Original Articles

One-step implicit methods or solving delay differential equations

Pages 157-168 | Received 01 Dec 1983, Published online: 19 Mar 2007

References

  • Al ‐ Mutib , A. N. 1977 . Computational Methods for Solving Delay-Differential Equations , Manchester, U.K : Victoria University . Ph.D., Thesis
  • Al ‐ Mutib , A. N. 1984 . Stability properties of numerical methods for solving delay differential equations . J. Comput. Appl. Math , 10 : 71 – 79 .
  • Driver , R. D. 1961 . Existence theory of a delay differential system . Contribution to Differential Equations , 1 ( 3 ) : 317 – 335 .
  • Hill , R. D. 1974 . An Approach to the Numerical Solution of Delay-Differential Equations , Pittsburgh University . Ph.D. Thesis
  • Hutchison , J. 1971 . Finite Difference Solution to Delay-Differential Equations , New York, Troy : Rensselaer Polytechnic Institute . Ph.D. Thesis
  • El ' Sgolts , L. E. 1966 . Introduction to the Theory of Differential Equations with Deviating Argument , Holden-Day N.Y . Translated from the Russian
  • El ' Sgol'ts , L. E. and Norkin , S. B. 1973 . Introduction to the Theory and Application of Differential Equations with Deviating Argument , N.Y : Academic Press . Translated from the Russian
  • Fox , L. , Mayers , D. F. , Ockendon , J. R. and Tayler , A. B. 1971 . On functional differential equations . J. Inst. Math. Applies , 8 : 271 – 307 .
  • Tavernini , L. 1971 . One-Step method for the numerical solution of Voltera functional differential equations . Siam J. Numer. Anal , 8 ( 4 )

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