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ON THE BOUNDEDNESS AND THE STABILITY RESULTS FOR THE SOLUTION OF CERTAIN FOURTH ORDER DIFFERENTIAL EQUATIONS VIA THE INTRINSIC METHOD
作者姓名:Cemil TUNC  Aydin TIRYAKI
摘    要:ONTHEBOUNDEDNESSANDTHESTABILITYRESULTSFORTHESOLUTIONOFCERTAINFOURTHORDERDIFFERENTIALEQUATIONSVIATHEINTRINSICMETHODCemilTUNC;A...

收稿时间:15 February 1996

On the boundedness and the stability results for the solution of certain fourth order differential equations via the intrinsic method
Cemil TUNC , Aydin TIRYAKI.On the boundedness and the stability results for the solution of certain fourth order differential equations via the intrinsic method[J].Applied Mathematics and Mechanics(English Edition),1996,17(11):1039-1049.
Authors:Cemil Tunc  Aydin Tiryaki
Institution:Cemil TUNC ; Aydin TIRYAKI
Abstract:In this paper, we first present constructing a Lyapunov function for (1.1) and then we show the asymptotic stability in the large of the trivial solution x=0 for case pequiv0, and the boundedness result of the solutions of (1.1) for case pne0. These results improve several well-known results.
Keywords:nonlinear differential equations of the fourth order  Lyapunovfunction  stability  boundedness  intrinsic method
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