Further Results on the Boundedness and the Stability of Solutions of Some Differential Equations of the Fourth Order

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Previous article Next article Further Results on the Boundedness and the Stability of Solutions of Some Differential Equations of the Fourth OrderMartin HarrowMartin Harrowhttps://doi.org/10.1137/0501018PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Martin Harrow, On the boundedness and the stability of solutions of some differential equations of the fourth order, SIAM J. Math. Anal., 1 (1970), 27–32 10.1137/0501002 MR0259264 0247.34038 LinkGoogle Scholar[2] E. A. Barbašin, On the theory of general dynamical systems, Učenye Zapiski Moskov. Gos. Univ., 135 (1948), 110–133 MR0033453 Google Scholar[3] H. A. Antosiewicz, On non-linear differential equations of the second order with integrable forcing term, J. London Math. Soc., 30 (1955), 64–67 MR0065752 0064.08404 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Stability and square integrability of derivatives of solutions of nonlinear fourth order differential equations with delay9 June 2017 | Journal of Inequalities and Applications, Vol. 2017, No. 1 Cross Ref ON SOME QUALITATIVE BEHAVIORS OF CERTAIN DIFFERENTIAL EQUATIONS OF FOURTH ORDER WITH MULTIPLE RETARDATIONSJournal of Applied Analysis & Computation, Vol. 6, No. 2 Cross Ref On the boundedness and the stability results for the solution of certain fourth order differential equations via the intrinsic methodApplied Mathematics and Mechanics, Vol. 17, No. 11 Cross Ref On the boundedness and stability of a fourth order differential equationAnnali di Matematica Pura ed Applicata, Vol. 123, No. 1 Cross Ref On the Boundedness and Stability of Solutions of Some Differential Equations of the Fifth OrderE. N. Chukwu17 February 2012 | SIAM Journal on Mathematical Analysis, Vol. 7, No. 2AbstractPDF (1150 KB)On the boundedness and the stability properties of solutions of certain fourth order differential equationsAnnali di Matematica Pura ed Applicata, Vol. 95, No. 1 Cross Ref Further stability and boundedness results for the solutions of some differential equations of the fourth orderAnnali di Matematica Pura ed Applicata, Vol. 95, No. 1 Cross Ref A note on the asymptotic behavior of the solutions of $\ddot x + a\left( t \right)f\left( {\ddot x} \right)\ddot x + b\left( t \right)\phi \left( {\dot x,\ddot x} \right) + c\left( t \right)g\left( {\dot x} \right) + d\left( t \right)h\left( x \right) = p\left( {t,x,\dot x,\ddot x,\ddot x} \right)$Proceedings of the Japan Academy, Series A, Mathematical Sciences, Vol. 49, No. 5 Cross Ref On the stability of a nonhomogeneous differential equation of the fourth orderAnnali di Matematica Pura ed Applicata, Vol. 92, No. 1 Cross Ref A remark on the asymptotic behavior of the solution of $\ddddot x + f\left( {\ddot x} \right)\dddot x + \phi \left( {\dot x,\ddot x} \right) + g\left( {\dot x} \right) + h\left( x \right) = p\left( {t,x,\dot x,\ddot x,\dddot x} \right)$Proceedings of the Japan Academy, Series A, Mathematical Sciences, Vol. 48, No. 6 Cross Ref On the behavior of solutions of certain differential equations of the fourth orderAnnali di Matematica Pura ed Applicata, Vol. 89, No. 1 Cross Ref Some further stability and boundedness results of some differential equations of the fourth orderAnnali di Matematica Pura ed Applicata, Vol. 90, No. 1 Cross Ref On the Boundedness and the Stability of Some Differential Equations of the Fourth OrderB. S. Lalli and W. A. Skrapek17 February 2012 | SIAM Journal on Mathematical Analysis, Vol. 2, No. 2AbstractPDF (333 KB) Volume 1, Issue 2| 1970SIAM Journal on Mathematical Analysis History Submitted:22 July 1969Published online:17 February 2012 InformationCopyright © 1970 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0501018Article page range:pp. 189-194ISSN (print):0036-1410ISSN (online):1095-7154Publisher:Society for Industrial and Applied Mathematics