An Existence Theorem for a Solution of $f'(x) = F(x,f(g(x)))$

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Previous article Next article An Existence Theorem for a Solution of $f'(x) = F(x,f(g(x)))$David R. AndersonDavid R. Andersonhttps://doi.org/10.1137/1008070PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] W. R. Utz, The equation $f'(x)=af(g(x))$, Bull. Amer. Math. Soc., 71 (1965), 138– CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails On solutions of functional-differential equations f′(x) = a(x)f(g(x)) + b(x)f(x) + c(x) in the largeIsrael Journal of Mathematics, Vol. 162, No. 1 | 1 Dec 2007 Cross Ref Volterra functional equations via projective techniquesJournal of Mathematical Analysis and Applications, Vol. 103, No. 1 | 1 Oct 1984 Cross Ref On a linear differential equation of the advanced typeJournal of Mathematical Analysis and Applications, Vol. 103, No. 1 | 1 Oct 1984 Cross Ref Global solutions to certain nonlinear functional differential equationsJournal of Mathematical Analysis and Applications, Vol. 33, No. 2 | 1 Feb 1971 Cross Ref On Nested Functional Differential EquationsSIAM Journal on Applied Mathematics, Vol. 18, No. 2 | 1 August 2006AbstractPDF (779 KB)On the Differential Equation f' = f o g Where g o g = IMathematics Magazine, Vol. 42, No. 4 | 16 February 2018 Cross Ref A "Backwards" Two-Body Problem of Classical Relativistic ElectrodynamicsPhysical Review, Vol. 178, No. 5 | 1 February 1969 Cross Ref On the Differential Equation f '( x )= af (g(x))Mathematics Magazine, Vol. 41, No. 5 | 16 February 2018 Cross Ref Volume 8, Issue 3| 1966SIAM Review277-426 History Submitted:03 November 1965Published online:18 July 2006 InformationCopyright © 1966 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1008070Article page range:pp. 359-362ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics