简介：Inthispaper,itisobtainedthataperiodicsystemhasanalmostperiodicsolutionifithasasolutionx=(t)uniformlystablewithrespecttoΩ_,andhasaperiodicsolutionifx=(t)isweaklyuniformlyasymptoticallystablewithrespecttoΩ_.Meanwhile,itisalsoobtainedthatauniformlyalmostperiodicsystemhasanalmostperiodicsolutionifithasasolutionx=(t)uniformlyasymptoticallystablewithrespecttoA_~f

简介：Thispaperdevelopsamethodwhichenablesustostudythenumber,existenceandstabilityofperiodicsolutionsandalmostperiodicsolutionsofthescalarordinarydifferentialequation.Someapplicationsofthemethodarealsogiven.

简介：Theauthorsinvestigatetheexistenceandtheglobalstabilityofperiodicsolutionfordynamicalsystemswithperiodicinterconnections,inputsandself-inhibitions.Themodelisverygeneral,theconditionsarequiteweakandtheresultsobtainedareuniversal.

简介：Theinteractionofanti-planeelasticSHwaveswithaperiodicarrayofinterfacecracksinamulti-layeredperiodicmediumisanalyzedinthispaper.AperfectperiodicstructurewithoutinterfacecracksisfirststudiedandthetransmissiondisplacementcoefficientisobtainedbasedonthetransfermatrixmethodinconjunctionwiththeBloch-Floquettheorem.Thisisthengeneralizedtoasingleandperiodicdistributionofcracksatthecenterinterfaceandtheresultiscomparedwiththatofperfectperiodiccaseswithoutinterfacecracks.Thedependenceofthetransmissiondisplacementcoefficientonthefrequencyoftheincidentwave,theinfluencesofmaterialcombination,crackconfigurationandincidentanglearediscussedindetail.Comparedwiththecorrespondingperfectperiodicstructurewithoutinterfacecracks,anewphenomenonisfoundintheperiodiclayeredsystemwithasingleandperiodicarrayofinterfacecracks.

简介：Incontrasttothemainstreamofstudyingthechaoticbehaviorofagivenmap,constructingchaoticmaphasattractedmuchlessattention.Inthispaper,weproposesimpleanalyticalmethodforconstructingone-dimensionalcontinuousmapswithcertainspecificperiodicpoints.Further,weobtainresultsfortheexistenceofchaoticphenomenoninthesenseofLiandYorke.Someexamplesarealsoanalyzedusingtheproposedmethods.

简介：Thenatureofthethree-dimensionaltransitionarisingintheflowpastacylinderisinvestigatedbyapplyingtheLifschitz-HameiritheoryalongspecialLagrangiantrajectoriesexistinginitswake.ResultsshowthatthevonKarmanstreetisunstablewithregardtoshort-wavelengthperturbations.Theasymptoticanalysispredictsthepossibleexistenceofbothsynchronous(asmodesAandB)andasynchronous(asmodeC)instabilities,eachassociatedtospecificLagrangianorbits.Theproposedstudyprovidesusefulqualitativeinformationontheoriginofthedifferentmodesbutnoquantitativeagreementbetweenthegrowthratespredictedbytheasymptoticanalysisandbyaglobalstabilityanalysisisobserved.Thereasonsforsuchmismatcharebrieflydiscussedandpossibleimprovementstothepresentanalysisaresuggested.

简介：Letr,1p={f:fr-1isabs.cont.onI=[a,b],fisperiodiewithperiodH（=b-a）,f（x1）=0,‖f（r）‖p≤0},wherex1isanyfixedpointin[a,b].TheauthorfindstheKolmogorov,Gel’land,linear,andBerusteinn-widthsofr,1pinLp（I）fornodd,∞>p>1.Theoptimalsubspacesandoperatorsarealsofound.

简介：Inthispaper,usingsometechniques,weprovethatthereexiststheregularhomoclinicpointforTaylormappingwith4

简介：Thestudyofhyperbolicgraphsisaninterestingtopicsincethehyperbolicityofageodesicmetricspaceisequivalenttothehyperbolicityofagraphrelatedtoit.Themainresultinthispaperisaverysimplecharacterizationofthehyperbolicityofalargeclassofperiodicplanargraphs.

简介：Supposethatacontinuous27r-periodicfunctionfontherealaxischangesitsmonotonicityatpointsy_1:-π≤y_(2s)

简介：Inthispaperwedevelopperiodicquarticsplineinterpolationtheorywhich,ingeneral,givesbetterfustocontinuousfunctionsthandoestheexistingquinticsplineinterpolationtheory.Themaintheoremofthepaperistoestablishthatr=0,1,2,3.Also,thenanperiodiccasescannotbeconstructedempoly-ingthemethodologyofthispaperbecausethatwillinvolveseveralotherendconditionsentirelydifferentthan(1,10).

简介：Inthispaper,wediscussasimplifiedmodelofmitosisinfrogeggsproposedbyM.T.BorisukandJ.J.Tysonin[1].Byusingrigorousqualitativeanalysis,weprovetheexistenceoftheperiodicsolutionsonalargescaleandpresentthespaceregionoftheperiodicsolutionsandtheparameterregioncorespondingtotheperiodicsolution.Wealsopresentthespaceregionandtheparameterregionwheretherearenoperiodicsolutions.Theresultsareinaccordancewiththenumericalresultsin[1]uptothequalitativeproperty.

简介：Theexistenceanduniquenessresultsaboutquasilinearperiodicboundaryvalueproblemsareestablishedbyusingtheglobalinversefunctiontheoremandtheresultabouttheexistenceanduniquencessofperiodicsolutionsfortheperiodicboundaryvalueproblemofnonhomogeneouslinearperiodicsystem.

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简介：这篇论文学习差别方程Δx(n)=的非自治的非线性的系统(n)x(n)+f(n，x(n))，n∈Z，(*)在哪儿x(n)∈R~N，(n)=(a_(ij)(n))_(NxN)是一个NxN矩阵，与a_(ij)∈C(R，R)为i，j=1,2,3，...，N，和f=(f_1，f_2，...，f_N)~T∈C(RxR~N，R~N)，令人满意的A(t+ω)=A(t)，f(t+ω，z)=f(t，z)为任何t∈R，(t，z)∈RxR~N和ωis一个积极整数。为ω-的存在的足够的条件方程(*)的周期的答案被获得。

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简介：Inthispaperithasbeensystematicallystudiedtheimbeddingpropertiesoffractionalintegraloperatorsofperiodicfunctionsofseveralvariables,andisomorphicpropertiesoffractionalintregraloperatorsinthespacesofLipschitzcontinuousfunctions.Ithasalsobeenprovedthatthespaceoffractionalintegration,thespaceofLipschitzcontinuousfunctionsandtheSobolevspaceareidenticalinL~2-norm.Resultsobtainedherearenottrueforfractionalintegrals(orRieszpotentials)inR~n.

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简介：Inthispaper,somenewperiodicsolutionsofnonlinearevolutionequationsandcorrespondingtravellingwavesolutionsareobtainedbyusingthedoublefunctionmethodandJacobiellipticfunctions.

简介：在同类的压电的脱衣的平行裂缝的一个周期的数组的问题结合了到机能上地分级的压电的材料为不同类的连续统被调查。材料不同类沿着裂缝的方向作为在指数的功能形式的shear模量的空间变化被代表，这被假定。混合边界价值问题被使用Fourier变换归结为一个单个不可分的方程，并且单个不可分的方程被使用Gauss-Chebyshev集成技术数字地解决。数字结果被获得为材料不同类的不同的值作为裂缝频率的一个函数说明压力紧张因素的变化。