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1.
Lin WANG 《数学年刊B辑(英文版)》2016,37(6):899-914
In this paper, the robustness of the orbit structure is investigated for a partially hyperbolic endomorphism f on a compact manifold M. It is first proved that the dynamical structure of its orbit space(the inverse limit space) M~f of f is topologically quasi-stable under C~0-small perturbations in the following sense: For any covering endomorphism g C~0-close to f, there is a continuous map φ from M~g to Multiply form -∞ to ∞ M such that for any {y_i }_(i∈Z) ∈φ(M~g), y_(i+1) and f(y_i) differ only by a motion along the center direction. It is then proved that f has quasi-shadowing property in the following sense: For any pseudo-orbit {x_i }_(i∈Z),there is a sequence of points {y_i }_(i∈Z) tracing it, in which y_(i+1) is obtained from f(y_i) by a motion along the center direction. 相似文献
2.
§ 1. IntroductionRecently ,thedifferentialequationswithdeviatingargumentswereusuallydiscussed(see[1 ],[4],[5 ]) .In [1 ],AGARWALRPandO’REGANDconsideredequationy″(t) =f(t,y(t) ,y(σ(t) ) ) , a.e .t∈ [0 ,1 ]y(t) =ψ(t) , t∈ [-r ,0 ]y( 1 ) =a ,( )andtheydiscussedtheexistenceofatleastonesolutionforequation ( ) .Inthispaper ,weconsideramoregeneralequation-x″(t) =f(t ,xt) , t∈ [0 ,1 ]x(t) =ψ(t) , t∈ ( -∞ ,0 ]x( 0 ) =x( 1 ) =0 ,( 1 .1 )andsomeexistencetheor… 相似文献
3.
51.Introduction'lnthispaperwedealwiththeexlstenceofsoluti0nsfortheinltialvalueproblemandtheperiodicproblemwhereAisamonotoneoperatorinaBanachspaceandGisnot.IfG=0,theexistenceofsolutionsfortheinitialvalueproblem(1.1)wasobtainedbythethe0ryofmonotoneoperators(cf-[1j,[2J).Hirano[3jprovedtheexistenceofsolutionsforGbeingcompact.AhmedandXiang['JextendedtheresultsofHirano[3JtoGsatisfyingthat(Gx.,x.-x)-Oifxnconvergestoxweakly.0urpurposeinthlspaperistofurtherextendtheirresultstoGsatisfyingamoregene… 相似文献
4.
Qi Minyou 《数学物理学报(B辑英文版)》1999,19(2):127-137
1IntroductionTheformeran.thorgivesin[4]ageneralizationofHadamardgstheoryoffundamentalsolutionstothecaseofberthorderlinearholomorphicPDEandproveditsidentitywiththedistributionalfundamentalsolution.TheessenceofHadamard'sprocedure[6]istofindfundamentalsolutionintheformofwherek(x)=0istheequationofthecharacteristicconoidwithx=0asthevertex,andk(x)isholomorphicnearx=0.Whentheequationisnon-degenerated,k(x)hasalsoanondegeneratedHessianatx=0.ReplacehAin(1)byhi,(1)givesadistributionwithAasaparameter.… 相似文献
5.
1IntroductionInarecentpaper[fi,P.W.EloeandJ.Hendersonstudiedtheexistenceofpositivesolutionsofthefollowingnonlinear(n--l,l)conjugateboundaryvalueproblem'TheworkwassupportedbyNSFofHeilonaiiangandNNSFofChinawheref:[0,co)-[0,co),a:[0,l]-[0,co)arecontinuousand… 相似文献
6.
1IntroductionSolution0fn0nlineartwo-pointb0undaryvaIuepr0blems(NBVP)canoftenbefoundbythefinite-differenceappr0ach,wheref(t,y)isaconti-nuousfunction.Collatz[1]firstpresentedanapproximation0ffourthorderfwherey=(y1,''tyN)',g=(g1,'-,gN)'andtherelativepaperscanals0beseenin[2].Toestablishthesolutionof(1.l),thef0llowingmethodscanbeusedfnonlinearsuccessiverelaxati0n(NSOR)method[3],thedifferenceNewt0nmethod(0rNewtonmethod)[4],therelativesparsenonlinearequationpr0blemscanals0beseenin[5-8]-lnthisp… 相似文献
7.
B.G.Pachpatte 《数学物理学报(B辑英文版)》1997,(1)
1IntroductionIn1960,A.Ju.Levint12]provedthefonowingcomparisontheorem.Theorem1Letu(t)andv(t)besolutionsofrespectivelysuchthatu(f)f0fortEIap,P],v(cr)/0andtheinequalityholdsforalltE[or,p],wherep,qEC[a,P].Then,foralltE[o,0],v(t)/0andSincetheappearanceOfLevin'sfundamentalpaper[12],anumberofpapershaveaampearedintheliteraturewhichdealswithvariousgeneralizationsandextensionsofTheoremL,see[l,5,8-11,14,16].ThemainpurposeofthispaperistoestablishdeferentialequationsOftheforms:where(n)a,bEC'(I,(0,… 相似文献
8.
Xiong Shuangping 《数学物理学报(B辑英文版)》1999,19(2):226-233
1IntroductionSelf-similarMarkoyprocesseson(0,co)wereintroducedbyLamperti[ZI.AnormalMarkovprocessX=(fi,F,R,Xt,ot,p")withstatespace(0,co)iscalledself-similarMarkovprocessoforderorjor>0,ifitstransitionfunctionPt(x,A)satisfiesPt(x,A)=Pa,(a"x,a"A)Vt>9,a>0,x>0,AEB(0,co).Itwasshownin[2]and[11]thateveryself-similarMarkovprocesson(0,co)automaticllyisstronglyMarkovianandhasanicepath",soitisaHuntprocessinthesenseof[1].Thefractalpropertiesoftheprocesseswerestudiedin[6]and[8].TheitoExcursiontheor… 相似文献
9.
Xing-ye Yue 《计算数学(英文版)》1999,(3)
1.IntroductionConsiderthetime-dependentconvection-diffusionproblemat--Euzx a(x,t)u. b(x,t)u~f(x,t),(x,t)E[0,1]x[0,T](1.1)u(0,t)=u(1,t)~0,tE[0,T].(1.2)u(x,0)=u000,xE[0,1],(1.3)a(x,t)2or>0,(1.4)b(x,t)--a.(x,t)/220>0,(1.5)where0SE<<1'(1.1)-(1.5)canbereg... 相似文献
10.
考虑中立型微分方程dndtn[x( t) -P( t) x( t-τ) ]+Q( t) x( t-σ) =0 , t≥ t0 ,( * )其中 n≥ 1 ,n为奇数 ,P( t) ,Q( t)∈ C( [t0 ,+∞ ) ,R+ ) τ>0 ,σ>0 .本文在不需要通常假设 ∫∞t0Q( s) ds=∞的条件下 ,获得了保证 ( * )的所有解振动的几个充分条件 ,并推广了文 [1 ]、[3]的相应结论 . 相似文献
11.
本文证明了格的极小生成元集一定是最小生成元集且只能是非零完全并既约元全体,证明了分配格具有最小生成元集的必要条件是它满足并无限分配律.本文还证明了完全Heyting代数具有最小生成元集当且仅当它是强代数格,证明了完备格是强代数格当且仅当它和它的对偶格均是具有最小生成元集的分配格. 相似文献
12.
51.IntroductionandDefinitionIn[l]ithadbeenprovedthat:ifadistributivelatticeLpossessesthesmal1estsetofgen-eratingelements,thenLsatisfiesjointinfinitelydistributivelaw.AndinL2jproved:acom-pletelydistributivelatticepossessesminimalsetofgeneratingelements,thenLisastrongalge-bra.lnthispaper,theconceptofthesetofgeneraingelementsisdifferentfrom[1j.Wewillsolvetheexistenceproblemoftheminimalsetofgeneratingelementsbyuseofthetopologicalrepresentation.Firstwedefinethesmallestbase,strongopensetinthetopol… 相似文献
13.
Archiv der Mathematik - Let G be a group which admits a generating set consisting of finite order elements. We prove that any Hopf algebra which factorizes through the Taft algebra and the group... 相似文献
14.
B.N. Cooperstein 《Journal of Algebraic Combinatorics》2001,13(1):15-28
The generating rank is determined for several GF(2)-embeddable geometries and it is demonstrated that their generating and embedding ranks are equal. Specifically, we prove that each of the two generalized hexagons of order (2, 2) has generating rank 14, that the central involution geometry of the Hall-Janko sporadic group has generating rank 28, and that the dual polar space DU(6,2) has generating rank 22. We also include a survey of all instances in which either the generating or embedding rank of an embeddable GF(2) geometry is known. 相似文献
15.
TheExistenceoftheCompleteandCompletelyDistributiveLatticesBatRuipu(白瑞蒲)(DepartmentofMathematics,HebeiUniversity,Baoding,07100... 相似文献
16.
In this paper, we show that if a partially ordered set has 2n elements and has dimension n, then it is isomorphic to the set of n?1 element subsets and 1element subsets of a set, ordered by inclusion, or else it has six elements and is isomorphic to a partially ordered set we call the chevron or to its dual. 相似文献
17.
Shaun V. Ault 《Journal of Pure and Applied Algebra》2011,215(12):2847-2852
We examine the dual of the so-called “hit problem”, the latter being the problem of determining a minimal generating set for the cohomology of products of infinite projective spaces as a module over the Steenrod Algebra A at the prime 2. The dual problem is to determine the set of A-annihilated elements in homology. The set of A-annihilateds has been shown by David Anick to be a free associative algebra. In this note we prove that, for each k≥0, the set of kpartiallyA-annihilateds, the set of elements that are annihilated by Sqi for each i≤2k, itself forms a free associative algebra. 相似文献
18.
We prove that a finite unary algebra with at least two operation symbols is a homomorphic image of a (finite) subdirectly
irreducible algebra if and only if the intersection of all its subalgebras which have at least two elements is nonempty.
While working on this paper the first and the third authors were partially supported by the Grant Agency of the Czech Republic,
grant #201/02/0594, and by the institutional grant MSM0021620839; the second author was supported by the Ministry of Science,
Technologies and Development of Republic of Serbia, grant no. 1227. 相似文献
19.
20.
Bill Sands 《Discrete Mathematics》1980,29(3):287-292
The dimension of a partially ordered set P is the smallest integer n (if it exists) such that the partial order on P is the intersection of n linear orders. It is shown that if L is a lattice of dimension two containing a sublattice isomorphic to the modular lattice M2n+1, then every generating set of L has at least n+2 elements. A consequence is that every finitely generated lattice of dimension two and with no infinite chains is finite. 相似文献