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A first order method for differential equations of neutral type. (English) Zbl 0294.65044


MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
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References:

[1] R. N. Castleton, Some Numerical Methods for Differential Equations with Deviating Arguments, M.S. Thesis, University of Utah, 1970.
[2] R. N. Castleton & L. J. Grimm, ”Local existence and uniqueness for neutral functional equations.” (In preparation.) · Zbl 0294.65044
[3] M. A. Feldstein, Discretization Methods for Retarded Ordinary Differential Equations, Ph.D. Thesis, University of California, Los Angeles, Calif., 1964.
[4] L. J. Grimm, Existence and continuous dependence for a class of nonlinear neutral-differential equations, Proc. Amer. Math. Soc. 29 (1971), 467 – 473. · Zbl 0222.34061
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