共查询到10条相似文献,搜索用时 15 毫秒
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IntroductionTogethighaccuracynumericalsolutionsofstiffdifferentialequations,weneedhighordernumericalmethodswhicharegoodinstability.Considerfollowingstiffdifferentialequations:y′=f(t,y), y(a)=η (t∈[a,b]),(1)wherey=( 1y, 2y,…, Ny)T. Assumethesolution… 相似文献
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本文通过构造Liapunov泛函,给出了一严二维非线性时滞动力系统{x(t)=y(t);y(t)=-p(x(t))-q(y(t))+∫-^0K(x(t+s))y(t+s)ds+f(t)的运动稳定性、有界性、周期运动的存在性和平稳振荡的存在性的几个定理,并给出了时滞范围的简明表达式。 相似文献
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On the existence of periodic solutions to higher dimensional periodic system with delay 总被引:1,自引:0,他引:1
Consideringthehigherdimensionalperiodicsystemswithdelayoftheformx′(t)=A(t,x(t))x(t)+f(t,x(t-τ)),(1)x′(t)=gradG(x(t))+f(t,x(t-... 相似文献
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Existence and iterative algorithms of solutions for generalized mixed quasi-variational inequalities
罗春林 《应用数学和力学(英文版)》1999,20(9):1038-1045
1 ProblemsLetHbearealHilbertspacewithnormandinnerproductsdenotedby‖·‖and〈·,·〉respectively.LetKbeaclosedconvexsubsetinHandf:H→Hbeasinglevaluedmapping.Theclassicalvariationalinequalityproblem(VIP(f,K))istofind^x∈K(^x),suchthat〈f(^x),y-^x〉≥0 (y∈K).(1)… 相似文献
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方锦暄 《应用数学和力学(英文版)》1999,20(10):1160-1166
IntroductionIn[1],XiaointroducedthenotionofprobabilisticnormofalinearoperatoronMengerprobabilisticnormedspace(briefy,MengerPN_space).Andbyusingthenotion,undertheconditionoft_normΔsatisfyingΔ(t,t)≥t(t∈(0,1]),hegaveadescriptionofboundednessoflinearope… 相似文献
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该方法以Gurtin变分原理为基础,在空间域作有限元离散,时间域取级数。本文研究了在交变载荷q(x,y,t)=P(x,y)sinωt作用下任意形状板时域级数的取法,使得各种支承条件的动力响应问题均可由本计算模式得到具有相当精度和效率的解。 相似文献
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薛大为 《应用数学和力学(英文版)》1995,(11)
ANEXACTSOLUTIONONTHESTRESSANALYSISOFFILIETWELDSXueDawei(薛大为)(ReceivedMarch1.1995)AbstractAnexactsolutiononthestressdistributi... 相似文献
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ON THE GENERAL SOLUTION OF CYLINDRICAL SHELL EQUATIONSPeterYiXue(薛毅);XueDawei(薛大为)(ReceivedOct.16,1995)Abstract:Itisprovedmat... 相似文献
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1IntroductionandPreliminariesIn1968,Browder[1]provedthefollowingtheorem.Theorem11(Browder[1]) LetEbeaHausdorfftopologicallinearspace,XacompactconvexsubsetofEandF:X→2Xamappingsatisfyingthefollowingconditions:ⅰ)Foranyx∈X,F(x)isnonemptyandconvex;ⅱ)Fora… 相似文献
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IntroductionThesubtropicalanticyclone(subtropicalhigh)overEast_Asiaregionisanimportantsynopticsysteminfluencingthisregion’swe... 相似文献