Previous article Next article On the Fundamental Theory of Differential EquationsAaron Strauss and James A. YorkeAaron Strauss and James A. Yorkehttps://doi.org/10.1137/1011037PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Earl A. Coddington and , Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1955xii+429 MR0069338 0064.33002 Google Scholar[2] Philip Hartman, Ordinary differential equations, John Wiley & Sons Inc., New York, 1964xiv+612 MR0171038 0125.32102 Google Scholar[3] Aaron Strauss and , James A. Yorke, On asymptotically autonomous differential equations, Math. Systems Theory, 1 (1967), 175–182 10.1007/BF01705527 MR0213666 0189.38502 CrossrefGoogle Scholar[4] James A. Yorke, Spaces of solutionsMathematical systems theory and economics, I, II (Proc. Internat. Summer School, Varenna, 1967), Springer, Berlin, 1969, 383–403. Lecture Notes in Operations Research and Mathematical Economics, Vols. 11, 12 MR0361294 0188.15502 CrossrefGoogle Scholar[5] J. A. Yorke, Non-Lipschitz Liapunov functions, Proceedings of the Fifth International Conference on Nonlinear Oscillations (Kiev, 1969). Vol. 2: Qualitative methods in the theory of nonlinear oscillations (Russian), Izdanie Inst. Mat. Akad. Nauk Ukrain. SSR, Kiev, 1970, 170–176 MR0350096 0236.34048 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Asymptotic stability at infinity for differentiable vector fields of the planeJournal of Differential Equations, Vol. 231, No. 1 | 1 Dec 2006 Cross Ref Semilinear Differential-Functional Systems in Two Independent VariablesMathematische Nachrichten, Vol. 125, No. 1 | 11 November 2006 Cross Ref Semilinear Differential-Functional Systems in Two Independent VariablesMathematische Nachrichten, Vol. 127, No. 1 | 1 Jan 1986 Cross Ref Existence and Uniqueness for the Cauchy Problem Under the Condition of ContinuityOrdinary Differential Equations in Rn | 1 Jan 1984 Cross Ref A Lipschitz boundary value problem for nonlinear ordinary differential equations on non compact intervalsNonlinear Analysis: Theory, Methods & Applications, Vol. 4, No. 6 | 1 Nov 1980 Cross Ref Multivalued differential equations in Banach space. An application to control theoryJournal of Optimization Theory and Applications, Vol. 21, No. 4 | 1 Apr 1977 Cross Ref Existence and uniqueness of solutions to initial-boundary value problems for semilinear hyperbolic systems in two independent variablesJournal of Differential Equations, Vol. 22, No. 1 | 1 Sep 1976 Cross Ref Differential equations without uniqueness and classical topological dynamicsJournal of Differential Equations, Vol. 14, No. 1 | 1 Jul 1973 Cross Ref On Elementary Proofs of Peano's Existence TheoremsThe American Mathematical Monthly, Vol. 80, No. 3 | 11 April 2018 Cross Ref Some equations modelling growth processes and gonorrhea epidemicsMathematical Biosciences, Vol. 16, No. 1-2 | 1 Feb 1973 Cross Ref The generic property of existence of solutions of differential equations in Banach spaceJournal of Differential Equations, Vol. 13, No. 1 | 1 Jan 1973 Cross Ref On the existence of not necessarily unique solutions of semilinear hyperbolic systems in two independent variablesJournal of Differential Equations, Vol. 12, No. 2 | 1 Sep 1972 Cross Ref Differential inequalities for semilinear hyperbolic operators with two independent variablesJournal of Differential Equations, Vol. 12, No. 1 | 1 Jul 1972 Cross Ref EQUATIONS MODELLING POPULATION GROWTH, ECONOMIC GROWTH, AND GONORRHEA EPIDEMIOLOGYOrdinary Differential Equations | 1 Jan 1972 Cross Ref Global existence without uniquenessAnnali di Matematica Pura ed Applicata, Vol. 87, No. 1 | 1 Dec 1970 Cross Ref Differential inequalities and non-lipschitz scalar functionsMathematical Systems Theory, Vol. 4, No. 2 | 1 Jun 1970 Cross Ref Volume 11, Issue 2| 1969SIAM Review History Submitted:06 February 1968Published online:18 July 2006 InformationCopyright © 1969 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1011037Article page range:pp. 236-246ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics