简介：TheHardyintegralinequalityisoneofthemostimportantinequalitiesinanalysis.ThepresentpaperestablishessomenewCopson-Pachpatte(C-P)typeinequalities,whicharethegeneralizationsoftheHardyintegralinequalitiesonbinaryfunctions.

简介：ThestressrateintegralequationsofelastoplasticityarededucedbasedonRef.[1]byconsistentmethods.Thepointatwhichthestressesand/ordisplacementsarecalculatedcanbeinthebodyorontheboundary,andintheplasticregionorelasticone.Theexistenceoftheprincipalvalueintegralintheplasticregionisdemonstratedstrictly,andthetheoreticalbasisispresentedforthepaticularsolutionmethodbyunitinitialstressfields.Inthepresentmethod,programmingiseasyandgeneral,andthenumericalresultsareexcellent.

简介：Thepaperdiscusseshowtoreducehighersingularityorderofaboundaryintegralequation.Theapproachwillbediscussedinsomedetailforplaneelasticity.Numericalresultsforthemeshesofunequallengthboundaryelementsarereported.Higherprecisionforbothdeflectionandforceisobtainedthanthatobtainedwithageneralboundaryelementmethod.

简介：Integralcollisionkerneliselucidatedusingexperimentalresultsfortitania,silicaandaluminananoparticlessynthesizedbyFCVDprocess,andtitaniasubmicronparticlessynthesizedinatubefurnacereactor.Theintegralcollisionkernelwasobtainedfromaparticlenumberbalanceequationbytheintegrationofcollisionratesfromthekinetictheoryofdilutegasesforthefree-moleculeregime,fromtheSmoluchowskitheoryforthecontinuumregime,andbyasemi-empiricalinterpolationforthetransitionregimebetweenthetwolimitingregimes.Comparisonshavebeenmadeonparticlesizeandtheintegralcollisionkernel,showingthatthepredictedintegralcollisionkernelagreedwellwiththeexperimentalresultsinKnudsennumberrangefromabout1.5to20.

简介：Inthispaper,wehaveproposedatimemarchingintregralequationmethodwhichdoesnothavethelimitationofthetimelinearizedintegralequationmethodinthatthelattermethodcannotsatisfac-torilysimulatetheshock-wavemotions.Firstly,amodelproblem——onedimensionalinitialandboundaryvaluewaveproblemistreatedtoclarifythebasicideaofthenewmethod.Thenthemethodisimplementedfor2-Dand3-Dunsteadytransonicflowproblems.Theintroductionoftheconceptofaqua-si-velocity-potentialsimplifiesthetimemarchingintegralequationsandthetreatmentoftrailingvortexsheetcondition.Thenumericalcalculationsshowthatthemethodisreasonableandreliable.

简介：Inthispaper,firstintroduceanddefineanintuitionisticMengerinnerproductspace,andthen,obtainanewfixedpointtheoreminacompleteintuitionisticMengerinnerproductspace.Asanapplication,theresultsareusedtostudytheexistenceanduniquenessofthesolutiontoalinearVolterraintegralequation.

简介：Inthispaper,weprovethatforholonomicnonconservativedynamicalsystemthePoincareandPoincaré-Cartanintegralinvariantsdonotexist.Insteadofthem,weintroducetheintegralvariantsofPoincaréCartan’stypeandofPoincaré’stypeforholonomienoneonservativedynamicalsystems,andusethesevariantstosolvetheproblemofnonlinearvibration.Wealsoprovethattheintegralinvariantsintro-ducedinreferences[1]and[2]aremerelythebasicintegralvariantsgivenbythispaper.

简介：Jep积分为描绘有弹性塑料的材料的破裂行为被导出。Jep积分不同于米饭J积分因为工作的免费精力密度而非压力密度被采用定义精力动量张肌。Jep积分被证明不管增长粘性和变丑粘性是路径依赖者。Jep积分拥有清楚地清楚的物理意思：(1)在包围裂缝尖端的无穷地小的轮廓上评估的价值Jtipep代表裂缝尖端精力驱散；(2)当全球steadystate裂缝生长条件被接近时，沿着边界轮廓计算的Jfar-ssep的价值等于到裂缝尖端驱散和塑料地区的体积驱散的和。理论结果被模仿我击碎的模式验证问题。

简介：Theexactformoftheexteriorproblemforplaneelasticityproblemswasproducedandfullyprovedbythevariationalprinciple.Basedonthis,theequivalentboundaryintegralequations(EBIE)withdirectvariables,whichareequivalenttotheoriginalboundaryvalueproblem,werededucedrigorously.TheconventionallyprevailingboundaryintegralequationwithdirectvariableswasdiscussedthoroughlybysomeexamplesanditisshownthatthepreviousresultsarenotEBIE.

简介：TheexistenceofsolutionsforsystemsofnonlinearimpulsiveVolterraintegralequationsontheinfiniteintervalR+withaninfinitenumberofmomentsofimpulseeffectinBanachspacesisstudied.Someexistencetheoremsofextremalsolutionsareobtained,whichextendtherelatedresultsforthisclassofequationsonafiniteintervalwithafinitenumberofmomentsofimpulseeffect.Theresultsaredemonstratedbymeansofanexampleofaninfinitesystemsforimpulsiveintegralequations.

简介：Theconstitutiveequationunderthelow-cyclefatigue(LCF)wasdiscussed,andatwo-dimensional(2-D)modelforsimulatingfatiguecrackextensionwasputforwardinordertoproposeanewcyclicJ-integral.Thedefinition,primarycharacteristics,physicalinterpretationsandnumericalevaluationofthenewparameterwereinvestigatedindetail.Moreover,thenewcyclicJ-integralforLCFbehaviorswasvalidatedbythecompacttension(CT)specimens.ResultsshowthatthecalculatedvaluesofthenewparametercancorrelatewellwithLCFcrackgrowthrate,duringconstant-amplitudeloading.Inaddition,thephenomenonoffatigueretardationwasexplainedthroughtheviewpointofenergybasedontheconceptofthenewparameter.

简介：Inthispaperthefixedpointindexproblemforaclassofpositiveoperatorswithboundarycontrolconditionsisdiscussed,andsomesufficientconditionsforthefixedpointindextobeequalto1or0aregiven.Moreover,ageneralfixedpointtheoremofexpansionsandcompressionsforconeisobtained,whichgeneralizesandimprovesthecorrespondingresultsof[3,8,9].Asanapplication,weutilizetheresultspresentedabovetostudytheexistenceconditionsofpositivesolutionsofnonlinearintegralequationsmodellinginfectiousdiseases.

简介：为粒子形态学和对使流体化床的动力学的描述的球状和Zingg因素的比较被介绍。它被发现那Zingg因素Fz=LH/B2(在分别地，L，H和B是一个粒子的长度，宽度和高度的地方)很好描述粒子形态学的效果。试验性的结果证明非球形的粒子给以压力落下同样与球形的粒子相比优秀的使流体化的穷人，Umf，等等。与一样的卷等价物直径，非球形的粒子有更低的Umf和使流体化的系数。一些光滑的曲线在参数，Umf和Fz之间被获得了。使液化的质量能被使流体化评估系数，它在这份报纸被相关到Zingg因素和最小的使流体化速度。

简介：Basedonenergyequilibrium,anewprocedurecalledtheMembraneFactorMethodisdevel-opedtoanalyzethedynamicplasticresponseofplateswithdeflectionsintherangewherebothbendingmo-mentsandmembraneforcesareimportant.Thefinaldeflectionofasimply-supportedcircularrigid-plasticplateloadedbyauniformlydistributedimpulseisobtained.Incomparisonwithotherapproximatesolutions,thepresentresultsarefoundtobesimplerandinbetteragreementwiththecorrespondingexperimentalvaluesreoordedbyFlorence.