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简介：WestudytheDirichletproblemassociatedtostronglynonlinearparabolicequationsinvolvingp(x)structureinW_0~(1,x)L~(p(x))(Q).WeprovetheexistenceofweaksolutionsbyapplyingGalerkin'sapproximationmethod.

简介：Wegiveanestimateoftypesup×infonRiemannianmanifoldofdimension4foraYamabetypeequation.

简介：P2P网络贷款的兴起为个人和小微企业带来了诸多的融资便利．但由于P2P网络贷款市场上存在着信息不对称的问题，导致市场上出现了诸多乱象．本文针对P2P行业信息不对称的现状，以P2P网络贷款平台和借款者作为参与者，构建了不完全信息博弈模型．该模型以实现P2P市场上的帕累托最优为研究目的，并分别探讨了在混合均衡和准分离均衡两种不同情况下，各自达到帕累托最优状态所需的市场条件，以及相关影响因素，并据此提出了相应的政策建议．

简介：利用变分原理研究超线性常微分p-Laplace系统周期解的存在性．在带有脉冲和阻尼作用项时，根据易一型山路定理，得到了系统多重周期解的存在性．

简介：Klapper(1994)showedthatthereexistsaclassofgeometricsequenceswiththemaximalpossiblelinearcomplexitywhenconsideredassequencesoverGF(2),butthesesequenceshaveverylowlinearcomplexitieswhenconsideredassequencesoverGF(p)(pisanoddprime).ThislinearcomplexityofabinarysequencewhenconsideredasasequenceoverGF(p)iscalledGF(p)complexity.ThisindicatesthatthebinarysequenceswithhighGF(2)linearcomplexitiesareinadequateforsecurityinthepracticalapplication,while,theirGF(p)linearcomplexitiesarealsoequallyimportant,evenwhentheonlyconcerniswithattacksusingtheBerlekamp-Masseyalgorithm[Massey,J.L.,Shift-registersynthesisandbchdecoding,IEEETransactionsonInformationTheory,15(1),1969,122–127].Fromthisperspective,inthispapertheauthorsstudytheGF(p)linearcomplexityofHall’ssexticresiduesequencesandsomeknowncyclotomic-set-basedsequences.

简介：Inordertoimprovethecarsalesservice4Sshopmanagementlevel,improvetheeconomicandsocialbenefitsofenterprises,incentivesareusedtoencouragetheirown4sshops.Inthispaper,throughouttherelatedanalysisofthequarterlyandannualawardsincentiveprograminlarge-scaledomesticautomobileenterprises,entropymethodwithMATLABsoftwareisappliedtoestablishthedimensionalfitfunction.Inthedataprocessing,themultiplelinearregressionfunctionintoLingosoftwareisemployedtogetthebestsolution;andClanguageisusedtorunthescreeningdataprogramthroughtheconsistencytestprograminthesensitivityanderroranalysis.Firstofall,considerthecompanytomaximizeprofitsandmaximizetheamountofcomplaintsinthestoretomaintainalowtarget;intermsofstaff,weshouldconsiderprovidingmoreincentivesforemployees;inthecustomer,theoverallsatisfaction,serviceAttitude,vehiclecleanlinessbasedshouldbeimproved.Andtwoprogramsforthemonthlyprofitandexcessprofitsofprogressiveincentivesshouldalsobeimproved.

简介：Firstly,theRiemannboundaryvalueproblemforakindofdegenerateellipticsystemofthefirstorderequationsinR~4isproposed.Then,withthehelpoftheone-to-onecorrespondencebetweenthetheoryofCliffordvaluedgeneralizedregularfunctionsandthatofthedegenerateellipticsystem’ssolution,theboundaryvalueproblemasstatedaboveistransformedintoaboundaryvalueproblemrelatedtothegeneralizedregularfunctionsinCliffordanalysis.Moreover,thesolutionoftheRiemannboundaryvalueproblemforthedegenerateellipticsystemisexplicitlydescribedbyusingakindofsingularintegraloperator.Finally,theconditionsfortheexistenceofsolutionsoftheobliquederivativeproblemforanotherkindofdegenerateellipticsystemofthefirstorderequationsinR~4arederived.

简介：Recently,Cristofaro-GardinerandHutchingsprovedthatthereexistatleasttwoclosedcharacteristicsoneverycompactstar-shapedhypersufaceinR~4.ThenGinzburg,Hein,Hryniewicz,andMacarinigavethisresultasecondproof.Inthispaper,wegiveitathirdproofbyusingindexiterationtheory,resonanceidentitiesofclosedcharacteristicsandaremarkabletheoremofGinzburgetal.