简介:<正>IthasbeenconjecturedthatthereisahamiltoniancycleineveryfiniteconnectedCayleygraph.Inspiteofthedifficultyinprovingthisconjecture,weshowthatalmostallCayleygraphsarehamiltonian.Thatis,astheordernofagroupGapproachesinfinity,theratioofthenumberofhamiltonianCayleygraphsofGtothetotalnumberofCayleygraphsofGapproaches1.
简介:Inthispaper,itisobtainedthataperiodicsystemhasanalmostperiodicsolutionifithasasolutionx=(t)uniformlystablewithrespecttoΩ_,andhasaperiodicsolutionifx=(t)isweaklyuniformlyasymptoticallystablewithrespecttoΩ_.Meanwhile,itisalsoobtainedthatauniformlyalmostperiodicsystemhasanalmostperiodicsolutionifithasasolutionx=(t)uniformlyasymptoticallystablewithrespecttoA_~f
简介:一、相同之处两者均可表示"几乎""差不多",均可修饰不定代词、形容词、副词、动词、介词短语等,此时两者常可换用。如:It’salmost[nearly]impossible.那几乎是不可能的。(修饰形容词)Healmost[nearly]alwaysarriveslate.他差不多总是迟到。(修饰副词)Hefellandalmost[nearly]brokehisleg.他摔了一跤,险些摔断了腿。(修饰动词)Almost[nearly]allthestudentspassedtheexam.差不多所有的学生都通过了考试。(修饰不定代词)
简介:Theinvarianceofstrongandalmostspirallikemappingsoftypeβandorderαisdiscussedinthispaper.Fromthemaximummodulusprincipleofholomorphicfunctions,weobtainthatthegeneralizedRoper-SuffridgeoperatorspreservestrongandalmostspirallikenessoftypeβandorderαontheunitballB~ninC~nandonboundedandcompleteReinhardtdomains.ThereforeweobtainthatthegeneralizedRoper-Suffridgeoperatorspreservestrongspirallikenessoftypeβ,strongandalmoststarlikenessoforderα,strongstarlikenessonthecorrespondingdomains.Thuswecanconstructmoresubclassesofspirallikemappingsinseveralcomplexvariables.
简介:Inthispapertheunsolvabilityofgeneralizedinverseeigenvalueproblemsalmosteverywhereisdiscussed.Wefirstgivethedefinitionsfortheunsolvabilityofgeneralizedinverseeigenvalueproblemsalmosteverywhere.Thenadoptingthemethodusedin[14],wepresentsomesufficientconditionssuchthatthegeneralizedinverseeigenvalueproblemsareunsohablealmosteverywhere.
简介:Theasymptoticdistributionsareexactlysolvedforlinearlyindependentsolutionsconsideringproblemofthesecondorderandforthecoefficientsofasymptoticdistributiontherecurrentformulasareobtained.Further,usingobtainedrecurrentformulasthenecessaryandsufficientconditionsforalmostregularityofspectralproblemfortheequationofthesecondorderisproved.
简介:ForaclassofSISOnonlinearcontrolsystemswithparameteruncertaintyanalmostdisturbancedecouplingproblemwithstabilityisdefinedandinvestigated.Backsteppingtechniqueprovidesapractcaldesignmethodofcontroller,underwhichtheL2gainfromthedisturbancetothecontrolledoutputcanbearbitrarilysmallsubjecttononlinearuncertaintiesandtheclose-loopsystemisinternallyasymptoticallystable.
简介:<正>Inthispaper,weprovethattheforcedpendulum-typeequation+Gx(x,t)=p(t),whereG(x,t)∈C1(R2)with1-periodicityinxsatisfiestheconditions:sup(x,t)∈R2|Gx(x,t)|<+∞andlimsupt→∞{supx∈R|(Gt(x,t))/t|}=0,possessesinfinitelymanyunboundedsolutionsonacylinderS1×Rforanyalmostperiodicfunctionp(t)withnonvauishingmeanvalue.