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:利用临界点理论研究具有部分周期位势的非自治常p-Laplace系统周期解的存在性.在具有p-线性增长非线性项时,根据广义鞍点定理,得到了系统多重周期解存在的充分条件.
简介:研究了具时变时滞的分层抑制细胞神经网络.利用不动点定理获得了若干判定该网络存在概周期解的新充分条件,改进和推广了已有文献中的相应结论.
简介:本文用临界点理论中的能量最小原理得到了一类具(q(t),P(t))-Laplacian项的二阶非自治系统存在周期解的充分条件.
简介:引进分次Armendariz环的概念,讨论了分次环R=n∈ZRn及由它导出的非分次环R,R0,及R[x]之间关于Armendariz环性质的关系,并推广了[8]的结论,得到在R=n∈ZRn是Z-型正分次环的前提下,若R是分次Armendariz,分次正规环,则R是P.P.环(Baer环)当且仅当R是分次P.P.环(分次Baer环).
简介:SomecharacterizationsoftheconditionalexpectationoperatorsonLebesgue-BochnerspacesL_p(μ,X)aregiven,where1≤p<∞,p≠2.AlsoanexampleisgiventoshowthatthecharacterizationsoftheconditionalexpectationoperatorsonL_p(μ,X)aredifferentfromthatonL_p(μ)_zFinally,arepresentationoftheconstant-preservingcontractiveprojectiononspacesL_p(μ,X)isgotwhen0<p<1.
简介:<正>LetD={z∈:|z|<1}andφbeanormalfunctionon[0,1).Forp∈(0,1)suchafunctionφisusedtodefineaBergmanspaceA~p(φ)onDwithweightφ~p(|·|)/(1-|·|~2).Inthispaper,thedualspaceofA~p(φ)isgiven,fourcharacteristicsofCarlesonmeasureonA~p(φ)areobtained.Moreover,asanapplication,threesequenceinterpolationtheoremsinA~p(φ)arederived.
简介:Letp(z)=beapolynomialdegreenandletThenaccord-ingtoBernstein’sinequality||p’||
简介:Thepurposeofthepresentpaperistoevaluatetheerroroftheapproximationofthefunc-tionfL1[0,1]byKantorovich-BernsteinpolynomialsinLp-metric(0<p<1).
简介:InthispaperwestudytheconvergencenfaclassofmeansonHp(G)(0<p<1),themeanstaketheBochner-Rieszmeansin[1],thegeneralizedBochner-Rieszmeansin[2],andtheoperatorsTΦrin[3]asspecialcases.Weobtainweak-typeestimatesfortheassociatedmaximaloperatorsandthemaximalmeanboundednessforthemeans.
简介:Therearetwopartsinthispaper.InthefirstpartweconstructtheMarkovchaininrandomenvironment(MCRE),theskewproductMarkovchainandp-θ~→chainfromarandomtransitionmatrixandatwo-dimensionalprobabilitydistribution,andinthesecondpartweprovethattheinvarianceprincipleforp-θ→chain,amorecomplexnon-homogeneousMarkovchain,istrueundersomereasonableconditions.Thisresultismorepowerful.
简介:ThepresentpaperdealswithfindingofconstantoccurringintheorderofapproximationofthefunctionofLipα(O<α<1)classbyusing(N,p)operator.Obviouslythefactor1/(1-α)becomeslargewhenαiscloseto1.Wehaveshowntheroleofthisfactorintheconstantofapproximation.