共查询到20条相似文献,搜索用时 93 毫秒
1.
ANOTEFORTHETOPOLOGICALCLASSIFICATIONOFSTRUCTURALLYSTABLEQUADRATICDIFFERENTIALSYSTEMSWITHOUTLIMITCYCLES¥YeWeiyin(叶惟寅)(NanjingN... 相似文献
2.
Shen Peilong 《高校应用数学学报(英文版)》1998,13(3):289-294
ONTHEEXISTENCEANDUNIQUENESSTHEOREMSOFSOLUTIONSFORACLASSOFTHESYSTEMSOFMIXEDMONOTONEOPERATOREQUATIONSWITHAPPLICATIONSHENPEILONG... 相似文献
3.
THE EXISTENCE AND UNIQUENESS AND STABILITY OF ALMOST PERIODIC SOLUTIONS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS 总被引:1,自引:0,他引:1
Wang Quanyi 《数学年刊B辑(英文版)》1997,18(2):233-242
THEEXISTENCEANDUNIQUENESSANDSTABILITYOFALMOSTPERIODICSOLUTIONSFORFUNCTIONALDIFFERENTIALEQUATIONSWITHINFINITEDELAYSWANGQUANHNY... 相似文献
4.
CHEN ZONGXUAN 《高校应用数学学报(英文版)》1994,9(4):365-374
THEZEROANDORDEROFSOMESECONDORDERLINEARDIFFERENTIALEQUATIONSWITHTRANSCENDENTALMEROMORPHICCOEFFICIENTSCHENZONGXUANAbstract:Inth... 相似文献
5.
A NECESSARY AND SUFFICIENT CONDITION OF EXISTENCE OF GLOBAL SOLUTIONS FOR SOME NONLINEAR HYPERBOLIC EQUATIONS 总被引:2,自引:0,他引:2
Zhang Quande 《数学年刊B辑(英文版)》1995,16(4):461-468
ANECESSARYANDSUFFICIENTCONDITIONOFEXISTENCEOFGLOBALSOLUTIONSFORSOMENONLINEARHYPERBOLICEQUATIONS¥ZHANGQUANDE(DepartmentofMathe... 相似文献
6.
XIONG YUE-SHAN 《高校应用数学学报(英文版)》1994,9(2):153-167
THE ERRORS ESTIMATION OF THE CHEBYSHEV SPECTRAL-DIFFERENCE METHOD FOR TWO-DIMENSIONAL VORTICITY EQUATIONTHEERRORSESTIMATIONOF... 相似文献
7.
ON A PAIR OF NON-ISOMETRIC ISOSPECTRAL DOMAINS WITH FRACTAL BOUNDARIES AND THE WEYL-BERRY CONJECTURE
ONAPAIROFNONISOMETRICISOSPECTRALDOMAINSWITHFRACTALBOUNDARIESANDTHEWEYLBERRYCONJECTURESLEEMAN,B.D.CHENHUAManuscriptrec... 相似文献
8.
THEDISCRETEDYNAMICSFORCOMPETITIVEPOPULATIONSOFLOTKA-VOLTERRATYPELIULAIFUANDGONGBINAbstract:Thediscretedynamicsforcompetitionp... 相似文献
9.
SUFFICIENT CONDITIONS FOR THE EXISTENCE OF PERIODIC SOLUTIONS OF A AUTONOMOUS DIFFERENTIAL SYSTEM 总被引:1,自引:0,他引:1
SUFFICIENTCONDITIONSFORTHEEXISTENCEOFPERIODICSOLUTIONSOFAAUTONOMOUSDIFFERENTIALSYSTEMHuangLihong(黄立宏)YuJianshe(庚建设)(Departmen... 相似文献
10.
李工宝 《数学物理学报(B辑英文版)》1994,(1)
THEEXISTENCEOFAWEAKSOLUTIONOFQUASILINEARELLIPTICEQUATIONWITHCRITICALSOBOLVEXPONENTONUNBOUNDEDDOMAINLiGongbao(李工宝)(Inst.ofMath... 相似文献
11.
We work in set theory ZF without axiom of choice. Though the Hahn-Banach theorem cannot be proved in ZF, we prove that every Gateaux-differentiable uniformly convex Banach space E satisfies the following continuous Hahn-Banach property: if p is a continuous sublinear functional on E, if F is a subspace of E, and if f: F → ? is a linear functional such that f ≤ p|F then there exists a linear functional g : E → ? such that g extends f and g ≤ p. We also prove that the continuous Hahn-Banach property on a topological vector space E is equivalent to the classical geometrical forms of the Hahn-Banach theorem on E. We then prove that the axiom of Dependent choices DC is equivalent to Ekeland's variational principle, and that it implies the continuous Hahn-Banach property on Gateaux-differentiable Banach spaces. Finally, we prove that, though separable normed spaces satisfy the continuous Hahn-Banach property, they do not satisfy the whole Hahn-Banach property in ZF+DC. 相似文献
12.
局部β-凸空间的共轭锥与Hahn-Banach定理 总被引:5,自引:1,他引:4
王见勇 《数学的实践与认识》2002,32(1):143-149
由 [1 ],局部β-凸空间 X的共轭锥 X*β 取代共轭空间在局部β-凸分析中扮演核心角色 .本文第一部分在局部β-凸空间上给出β-次半范的 Hahn-Banach定理 ,第二部分通过共轭锥 ( X*β ,‖‖ )得到赋β-范空间 ( X,‖‖β)的可分性定理 ,第三部分给出局部 β-凸空间的共轭锥 X*β 在一致收敛拓扑下的完备性定理等 . 相似文献
13.
Xiao Lin Zeng 《数学学报(英文版)》2013,29(2):263-280
We first prove various kinds of expressions for modulus of random convexity by using an L~0(F,R)-valued function's intermediate value theorem and the well known Hahn-Banach theorem for almost surely bounded random linear functionals, then establish some basic properties including continuity for modulus of random convexity. In particular, we express the modulus of random convexity of a special random normed module L~0(F,X)derived from a normed space X by the classical modulus of convexity of X. 相似文献
14.
It is proved that if f is a Teichmiiller self-mapping of the unit disk with a holomorphic quadratic differential φ,and φ satisfies the growth condition m(φ,r)=1/2π∫0^2π|φ(reiθ)|dθ=o((1-r)^-s),r→1,for any s >1,then f is extremal,and there exists a sequence {tn},0<tn<1,lim tn=1,such that {φ(tnz)} is a Hamilton ssquence.It is the preclsion of a theorem of Reich-Strebel in 1974,and gives a fairly satisfactory answer to a question of Reich is 1988。 相似文献
15.
B. R. Frenkin 《Mathematical Notes》2000,67(1):112-118
Two topological variants of the minimax theorem are proved with no restrictions on one of the spaces except for those related
to the function under consideration. The conditions concerning the behavior of the function deal only with the interval between
the maximin and minimax. As corollaries, we obtain the well-known theorems of Sion and Hoang-Tui on quasiconvex-quasiconcave
semicontinuous functions. The scheme of arguments goes back to the Hahn-Banach theorem and the separating hyperplane theorem.
It is shown how this scheme can be explicitly realized in the proof of the Hahn-Banach theorem.
Translated fromMaternaticheskie Zametki, Vol. 67, No. 1, pp. 141–149, January, 2000. 相似文献
16.
A rigorous numerical method for establishing the existence of a transversal connecting orbit from one hyperbolic periodic
orbit to another of a differential equation in is presented. As the first component of this method, a general shadowing theorem that guarantees the existence of such a
connecting orbit near a suitable pseudo connection orbit given the invertibility of a certain operator is proved. The second
component consists of a refinement procedure for numerically computing a pseudo connecting orbit between two pseudo periodic
orbits with sufficiently small local errors so as to satisfy the hypothesis of the theorem. The third component consists of
a numerical procedure to verify the invertibility of the operator and obtain a rigorous upper bound for the norm of its inverse.
Using this method, existence of chaos is demonstrated on examples with transversal homoclinic orbits, and with cycles of transversal
heteroclinic orbits. 相似文献
17.
《European Journal of Operational Research》2006,171(3):723-724
The shifting bottleneck (SB) heuristic is among the most successful approximation methods for solving the job shop problem. It is essentially a machine based decomposition procedure where a series of one machine sequencing problems (OMSPs) are solved. However, such a procedure has been reported to be highly ineffective for the flow shop problems. In particular, we show that for the 2-machine flow shop problem, the SB heuristic will deliver the optimal solution in only a small number of instances. We examine the reason behind the failure of the machine based decomposition method for the flow shop. An optimal machine based decomposition procedure is formulated for the 2-machine flow shop, the time complexity of which is worse than that of the celebrated Johnson’s rule. The contribution of the present study lies in showing that the same machine based decomposition procedures which are so successful in solving complex job shops can also be suitably modified to optimally solve the simpler flow shops. 相似文献
18.
在讨论耦合热弹性问题的变分原理的一些著作中,以弹性应变eij和温度变化值θ为状态参数的自由能φ(eij,θ)为自由能的这一表达式只适用于|θ|<0(绝对参考温度)的情况.在热冲击弹性问题中,温度变化值θ很大,甚至可以大过T0同时,材料常数(λ,μ,γ,c等)随θ而发生变化,不再保持为常数.就这种情况,本文导出自由能的表达式.(0.1)式则为其特殊情况.将自由能的这一表达式引入变分原理,其欧拉方程将成为非线性.为了线性化,将热冲击作用的时间过程划分为若干足够小的时间元△tk(△tk=tk-tk-1,k=1,2,…,n).在△tk中,温度变化θk很小,材料常数由tk-1瞬时的温度场Tk-1=Tx1,x2,x3,tk-1确定,自由能φk可近似地采用(0.1)式的形式,从而得到变分原理的分段近似表达. 相似文献
19.
Taking advantage of recent developments in the theory of generalized differentiation, we present an inverse mapping theorem for set-valued maps and prove its stability under small linear perturbations. Using variational convergences of set-valued mappings, we present as well an approximate version of our inverse theorem. 相似文献