The functional differential equation \(x'(t)=x(x(t))\). (English) Zbl 0497.34050


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.
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[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. PoincarĂ© 39, No. 1, 1 (1983) · Zbl 0516.34066
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