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BACKWARD WELLPOSEDNESS OF NONUNIFORM TIMOSHENKO BEAM EQUATION
作者姓名:司守奎
作者单位:SI Shou-kui(\ 1 Dept. of Appl. Math.,Zhejiang University,Hangzhou 310027,China)(\ 2Dept. of Basic Science,Naval Aeronautical Engineering Academy,Yantai 264001,China)\%[WT9.,10.HZ]
基金项目:ProjectsupportedpartiallybytheNationalKeyProjectofChinaandtheNaturalScienceFoundationofChina (No .6 98740 34)
摘    要:INTRODUCTIONThepurposeofthisworkistoinvestigatethebackwellposednessofanonuniformbeamequationwithboundarycontrols.Itiswellknownthatifthecross sectiondimensionsofthebeamisnotnegligiblecomparedwithitslength ,thenitisnecessarytoconsidertheeffectoftherotato…


BACKWARD WELLPOSEDNESS OF NONUNIFORM TIMOSHENKO BEAM EQUATION
SI Shou-kui.BACKWARD WELLPOSEDNESS OF NONUNIFORM TIMOSHENKO BEAM EQUATION[J].Journal of Zhejiang University Science,2001(2).
Authors:SI Shou-kui
Abstract:In this paper,we consider the Timoshenko equation of a nonuniform beam,with clamped boundary condition at one end and with feedback controls at the other end. It is proved that the system is backward wellposedness when the feedback controls are weak enough.
Keywords:backward wellposedness  nonuniform beam  Timoshenko equation  \%C\-0\%-semigroup
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