Asymptotic Behavior of the Solutions of Certain Third Order Differential Equations

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Previous article Next article Asymptotic Behavior of the Solutions of Certain Third Order Differential EquationsK. E. SwickK. E. Swickhttps://doi.org/10.1137/0119008PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] K. Swick, On the boundedness and the stability of solutions of some non-autonomous differential equations of the third order, J. London Math. Soc., 44 (1969), 347–359 MR0236482 0164.39103 CrossrefISIGoogle Scholar[2] K. E. Swick, A boundedness result for the solutions of certain third order differential equations, Ann. Mat. Pura Appl. (4), 86 (1970), 169–180 MR0274885 0216.11301 CrossrefGoogle Scholar[3] J. O. C. Ezeilo, A stability result for a certain third order differential equation, Ann. Mat. Pura Appl. (4), 72 (1966), 1–9 MR0203177 0143.11602 CrossrefGoogle Scholar[4] J. O. C. Ezeilo, On the boundedness of the solutions of the equation $\dddot x+a\ddot x+f(x)\dot x+g(x)=p(t)$, Ann. Mat. Pura Appl. (4), 80 (1968), 281–299 MR0241753 0211.40102 CrossrefGoogle Scholar[5] J. J. Levin and , J. A. Nohel, Global asymptotic stability for nonlinear systems of differential equations and applications to reactor dynamics, Arch. Rational Mech. Anal., 5 (1960), 194–211 (1960) MR0119524 0094.06402 CrossrefGoogle Scholar[6] Taro Yoshizawa, Stability theory by Liapunov's second method, Publications of the Mathematical Society of Japan, No. 9, The Mathematical Society of Japan, Tokyo, 1966viii+223 MR0208086 0144.10802 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails STABILITY AND BOUNDEDNESS OF SOLUTIONS OF NONLINEAR THIRD ORDER DIFFERENTIAL EQUATIONS WITH BOUNDED DELAYJournal of Mathematical Sciences and Modelling | 4 April 2022 Cross Ref On the Qualitative Behaviors of Nonlinear Functional Differential Systems of Third OrderAdvances in Nonlinear Analysis via the Concept of Measure of Noncompactness | 26 April 2017 Cross Ref Uniform ultimate boundedness and asymptotic behaviour of third order nonlinear delay differential equationAfrika Matematika, Vol. 27, No. 7-8 | 18 February 2016 Cross Ref Stability and Uniform Boundedness in Multidelay Functional Differential Equations of Third OrderAbstract and Applied Analysis, Vol. 2013 | 1 Jan 2013 Cross Ref Qualitative Behaviors of Functional Differential Equations of Third Order with Multiple Deviating ArgumentsAbstract and Applied Analysis, Vol. 2012 | 1 Jan 2012 Cross Ref Boundedness results for a certain third order nonlinear differential equationApplied Mathematics and Computation, Vol. 216, No. 10 | 1 Jul 2010 Cross Ref Further results for the solutions of certain third order differential equationsProceedings of the Japan Academy, Series A, Mathematical Sciences, Vol. 56, No. 5 | 1 Jan 1980 Cross Ref On the stability of non-linear stochastic systemsInternational Journal of Systems Science, Vol. 10, No. 9 | 1 Sep 1979 Cross Ref Asymptotic behavior of the solutions of the third order nonlinear differential equationsu‴±tσ u n =0u n =0Annali di Matematica Pura ed Applicata, Vol. 104, No. 1 | 1 Dec 1975 Cross Ref On the asymptotic behavior of the solutions of a nonlinear volterra equationAnnali di Matematica Pura ed Applicata, Vol. 93, No. 1 | 1 Dec 1972 Cross Ref Remarks on the Asymptotic Behavior of the Solutions of Certain Non-Autonomous Differential EquationsProceedings of the Japan Academy, Vol. 48, No. 8 | 1 Jan 1972 Cross Ref Remarks on the asymptotic behavior of the solutions of certain non-autonomous differential equationsProceedings of the Japan Academy, Series A, Mathematical Sciences, Vol. 48, No. 7.S1 | 1 Jan 1972 Cross Ref On the behavior of solutions of certain differential equations of the fourth orderAnnali di Matematica Pura ed Applicata, Vol. 89, No. 1 | 1 Dec 1971 Cross Ref On the Asymptotic Behavior of Solutions of Certain Third Order Ordinary Differential EquationsProceedings of the Japan Academy, Vol. 47, No. SupplementII | 1 Jan 1971 Cross Ref Remarks on the Asymptotic Behavior of the Solutions of Certain Third Order Non-Autonomous Differential EquationsProceedings of the Japan Academy, Vol. 47, No. SupplementII | 1 Jan 1971 Cross Ref On the asymptotic behavior of solutions of certain third order ordinary differential equationsProceedings of the Japan Academy, Series A, Mathematical Sciences, Vol. 47, No. S2 | 1 Jan 1971 Cross Ref Remarks on the asymptotic behavior of the solutions of certain third order non-autonomous differential equationsProceedings of the Japan Academy, Series A, Mathematical Sciences, Vol. 47, No. S2 | 1 Jan 1971 Cross Ref Volume 19, Issue 1| 1970SIAM Journal on Applied Mathematics1-265 History Submitted:07 August 1969Published online:12 July 2006 InformationCopyright © 1970 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0119008Article page range:pp. 96-102ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics