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Article

Jackiewicz, Zdzislaw
A note on existence and uniqueness of solutions of neutral functional-differential equations with state-dependent delays. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 1, pp. 15-17
MSC: 34A10, 34K05, 34K40 | MR 1334409 | Zbl 0920.34064
Keywords:
functional-differential equation; existence and uniqueness of solutions
Summary:
Existence and uniqueness theorem for state-dependent delay-differential equations of neutral type is given. This theorem generalizes previous results by Grimm and the author.
References:
[1] Grimm L.J.: Existence and continuous dependence for a class of nonlinear neutral- differential equations. Proc. Amer. Math. Soc. 29 (1971), 467-473. MR 0287117 | Zbl 0222.34061
[2] Jackiewicz Z.: Existence and uniqueness of solutions of neutral delay-differential equations with state-dependent delays. Funkcial. Ekvac. 30 (1987), 9-17. MR 0915257 | Zbl 0631.34006
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