×

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


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.
PDF BibTeX XML Cite
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. PoincarĂ© 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.