Eder, E. The functional differential equation \(x'(t)=x(x(t))\). (English) Zbl 0497.34050 J. Differ. Equations 54, 390-400 (1984). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 54 Documents MSC: 34K05 General theory of functional-differential equations 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations 34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. Keywords:functional differential equation; existence and uniqueness of solutions; analyticity of solutions; analytic dependence on initial data; Banach space; Banach’s fixed point theorem PDFBibTeX XMLCite \textit{E. Eder}, J. Differ. Equations 54, 390--400 (1984; Zbl 0497.34050) Full Text: DOI References: [1] Doss, S.; Nasr, S. K.: On the functional equation dy \(dx = f(x, y(x), y(x + h))\) h 0. Amer. J. Math. 75, 713 (1953) · Zbl 0053.06101 [2] Hsing, Deh-Phone K.: Existence and uniqueness theorem for the one-dimensional backwards two-body problem of electrodynamics. Phys. rev. D 16, No. 4 (1977) · Zbl 0542.34024 [3] Driver, R. D.: Can the future influence the present?. Phys. rev. D 19, No. 4 (1979) [4] Eder, E.: Existence, uniqueness and iterative construction of motions of charged particles with retarded interactions. Ann. inst. H. Poincaré 39, No. 1, 1 (1983) · Zbl 0516.34066 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.