简介：Aformulationofadifferentialequationasprojectionandfixedpointpi-Memalloivsapproximationsusinggeneralpiecnvisefunctions.Weproneexistenceanduniquenessoftheupproximatesolution*convergenceintheL2normandnodalsupercnnvergence.TheseresultsgeneralizethoseobtainedearlierbyHulmeforcontinuouspiecevjisepolynomialsandbyDelfour-Dubeaufordiscontinuouspieceuiisepolynomials.Adualityrelationshipforthetwotypesofapproximationsisalsogiven.

简介：无

简介：平常的微分方程(颂诗)模型广泛地被用来在许多科学领域里为动态过程建模。参数评价通常是一个挑战性的问题，特别在非线性的颂诗模型。最流行的方法，非线性的最不方形的评价，被显示对孤立点强烈敏感。在这份报纸，用M评估者的参数的柔韧的评价被建议，并且他们的asymptotic性质在一些常规条件下面被获得。作者也提供一个方法根据观察自动地调整Huber参数。而且，一个方法被介绍估计参数和州的变量的起始的值。效率和坚韧性很好在Huber评估者被平衡，它经由数字模拟和氯化物数据分析被表明。

简介：Aunifiedapproachisgiventoseveralclassesofnonlinearboundaryvalueproblems,andsomepreviousexistencetheoremsareextended.

简介：

简介：在这篇论文，摆动的周期的答案的存在结果被获得因为第二订平常的微分方程-u'(t)=f(t，u(t))，在此f：R~2→Ris连续奇怪的功能并且是在t周期的2π-。讨论在锥基于固定的点索引理论。

简介：Thispaperdevelopsamethodwhichenablesustostudythenumber,existenceandstabilityofperiodicsolutionsandalmostperiodicsolutionsofthescalarordinarydifferentialequation.Someapplicationsofthemethodarealsogiven.

简介：Inthispapertheexistenceresultsofpositiveω-periodicsolutionsareobtainedforsecondorderordinarydifferentialequation-u″(t)=f(t,u(t))(t∈R),andalsoforfirstorderordinarydifferentialequationu′(t)=f(t,u(t))(t∈R),wheref:R×R+→Risacontinuousfunctionwhichisω-periodicint.Thediscussionisbasedonthefixedpointindextheoryincones.

简介：

简介：NearlytwoweeksaftertheJuly5riotinUrumqiofnorthwestChina’sXinjiangUygurAutonomousRegion,socialorderandpeople’slivesarereturningtonormal.Yetinretrospect,amassofevidencesshowthattheunrestwasawellplannedviolentcriminalincidentofterroristnature.

简介：Electroncyclotronresonanceheating(ECRH),suchasthefundamentalheatingandthesecondharmonicheating,isabasicandpowerfulmethodtoheattheplasmaintokamakandstellaratordevices.Theoreticalstudiesofthisheatinghasbeendoneinratherearlyliteratures,however,theunderstandingofsomeimportantproblemsisstilluncertain.Theseinclude:thecouplingoftheO-modeandtheE-modeandtheroleofthiscouplinginwavedamping,theO-modedampingmechanism,

简介：Inthispaper,weestablisharesultofLeray-Schauderdegreeontheorderintervalwhichisinducedbyapairofstrictloweranduppersolutionsforasystemofsecond-orderordinarydifferentialequations.Asapplications,weprovetheglobalexistenceofpositivesolutionsforamulti-parametersystemofsecond-orderordinarydifferentialequationswithrespecttoparameters.ThediscussionisbasedontheresultofLeraySchauderdegreeontheorderintervalandthefixedpointindextheoryincones.

简介：

简介：Inthispaper,anewone-stepexplicitmethodoffourthorderisderived.ThenewmethodisprovedtobeA-stableandL-stable,anditgivesexactresultswhenappliedtothetestequationy’=λywithRe(λ)<0,Alsoseveralnumericalexamplesareincluded.

简介：Runge-Kuttamethodiswidelyappliedtosolvetheinitialvalueproblemofordinarydifferentialequations.TheimplicitRunge-Kuttawithbetternumericalstabilityforthenumericalintegrationofstiffdifferentialsystems,buttheformulatehastraditionallybeenonsolvingthenonlinearequationsresultingfromamodifiedNewtoniterationineverytime.Semi-implicitformulatehavethemajorcomputationallyadvantagethatitisnecessarytosolveonlylinearsystemsofalgebraicequationstofindtheKa.

简介：我们认为在线性、非线性的平常的微分方程(颂诗)的参数评价的问题当模特儿。非线性的颂诗模型广泛地在应用被使用。但是他们的分析答案通常不是可得到的。因此常规的方法通常取决于带巨大的计算费用的数字答案的重复使用。我们建议了在第二个阶段在第一个阶段，和一个数字discretization方法(Eulersdiscretization方法，trapezoidaldiscretization方法，或Runge-Kuttadiscretization方法)包括一个变光滑的方法(变光滑的核或本地多项式试穿)的一条新二阶段的途径。通过数字模拟，我们发现建议方法获得在评价精确性和计算费用之间的合适的平衡。Asymptotic性质也被介绍，它在一些温和条件下面显示出一致性和评估者的asymptotic规度。建议方法以精确性和计算费用与存在方法相比。模拟结果证明有在第二个阶段的在第一个阶段和trapezoidaldiscretization的本地线性变光滑的评估者有最低平均相对错误。我们把建议方法用于HIV动力学数据说明评估者的有实行可能。

简介：

简介：由使用上面、更低的答案和固定的点定理，我们在Banach空间与不连续的条款给非线性的秒顺序的存在定理平常的微分方程。

简介：Inthispaper,ahighaccuracyfinitevolumeelementmethodispresentedfortwo-pointboundaryvalueproblemofsecondorderordinarydifferentialequation,whichdiffersfromthehighordergeneralizeddifferencemethods.Itisprovedthatthemethodhasoptimalorderer-rorestimateO(h3)inH1norm.Finally,twoexamplesshowthatthemethodiseffective.

简介：Basedonafirstordernonlinearordinarydifferentialequationwithatmostasixth-degreenonlineartermwhichisextendedfromatypeofellipticequation,andbyconvertingitintoanewexpansionform,thispaperproposesanewalgebraicmethodtoconstructexactsolutionsfornonlinearevolutionequations.Beingconciseandstraightforward,themethodisappliedtomodifiedBenjamin-Bona-Mahony(mBBM)model,andsomenewexactsolutionstothesystemareobtained.Thealgorithmisofimportantsignificanceinexploringexactsolutionsforothernonlinearevolutionequations.