陳海波[中南大學數學院]

中南大學數學院教授。

自我介紹：

陳海波,中南大學教授、博士生導師。1981年進入大學學習，先後在湘潭大學數學專業本科畢業，獲理學學士學位；湖南大學套用數學專業碩士研究生畢業，獲理學碩士學位；中南大學套用數學專業博士研究生畢業，獲理學博士學位；2003年9月至2005年9月在武漢大學數學博士後流動站做博士後；2006年1月至2006年12月在牛津大學數學研究所做訪問學者。1987年7月參加工作，一直在高等學校從事教學、科研和管理工作，先後評為省級青年骨幹教師、校級優秀教師、優秀共產黨員。獲校級優秀教學成果獎兩項，省級優秀教學成果獎兩項。主要研究興趣為常微分方程定性理論、差分方程理論與套用、微分方程邊值問題、數學生態學模型。在平面微分系統的中心焦點判定與極限環分支以及微分方程邊值問題解與多解的存在性等研究領域取得了一系列重要學術成果。在國內外重要學術刊物上發表論文60多篇，其中SCI收錄30多篇。主編英文版教材2本。目前主持國家自然科學基金項目及教育部留學回國基金項目，參加國家和省自然科學基金項目各一項；完成國家和省級科研項目4項。

研究方向：

微分方程、差分方程定性理論與分支理論及其套用；微分方程邊值問題；數學生態學模型

主講課程

常微分方程，微分方程定性理論，穩定性理論，常微分方程泛函方法，抽象空間中的微分方程，向量場的分岔理論，極限環論，高等數學

獲獎情況:

湖南省高等學校優秀教學成果二等獎
湖南省高等學校優秀教學成果三等獎
中南大學校級優秀教學成果二等獎

在研項目：

1.主持國家自然科學基金項目:平面微分系統的中心問題與極限環分支(10871206)2.主持教育部留學回國基金項目:平面微分系統的中心問題與極限環分支，教外司留[2008]0814

已完成項目:

1.具有時滯的離散生態數學模型的建立與定性研究。（國家自然科學基金項目19601016）
2.漁業數學生態學模型及其套用。（湖南省教委科研基金項目）
3.多項式系統的極限環理論及其套用。（中南大學科研課題）
4.平面多項式微分系統赤道的穩定性與極限環分支。（湖南省自然科學基金項目05JJ30010）
5.非線性波動方程的長時間行為和近似慣性流形。（湖南省自然科學基金項目98JJY2034）

已發表的論文與專著:

[64]JianxinCao,HaiboChen.Impulsivefractionaldifferentialequationswithnonlinearboundaryconditions.MathematicalandComputerModelling,2011,InPress
[63]LiuYang,HaiboChen,JuntaoSun.InfinitelymanyhomoclinicsolutionsforsomesecondorderHamiltoniansystems.NonlinearAnalysis:Theory,Methods&Applications,74(17)2011,6459-6468.(SCI)
[62]LiuYang,HaiboChen.Nonlocalboundaryvalueproblemforimpulsivedifferentialequationsofgractionalorder.Advanceindifferenceequations:ArtNo.404917,2011.(SCI)
[61]QiZhang,YirongLiu,HaiboChen.Ontheequivalenceofsingularpointquantitiesandtheintegrabilityofa
finecriticalsingularpoint.NonlinearAnalysis:RealWorldApplications,12,2011,2794–2801.(SCI)
[60]LiuYang,HaiboChen,XiaoxiaYang.multiplicityofsolutionsforfourth-orderequationgeneratedbyboundarycondition.AppliedMathematicsLetters,24(9),2011,1599-1603.(SCI)
[59]YusenWu,PeiluanLi,HaiboChen.
Centerconditionsandbifurcationoflimitcyclesatthree-ordernilpotentcriticalpointinacubicLyapunovsystem.CommunicationsinNonlinearScienceandNumericalSimulation,2011,inpress.
[58]JuntaoSun,HaiboChen,JuanJ.Nieto.Infinitelymanysolutionsforsecond-orderHamiltoniansystemwithimpulsiveeffects.MathematicalandComputerModelling,54(1-2),2011,544-555.
[57]LiuYang,HaiboChen.Existenceandmultiplicityofperiodicsolutionsgeneratedbyimpulses.AbstractandAppliedAnalysis,2011,inpress.
[56]JianxinCao,HaiboChen.Someresultsonimpulsiveboundaryvalueproblemforfractional
differentialinclusions.ElectronicJournalofQualitativeTheoryofDifferentialEquations,11,2010,1-24.
[55]JianxinCao,HaiboChen,JinDeng.Positivesolutionsofthesecond-ordersystemofdifferentialequationsinBanachspaces.J.Appl.Math.&Informatics,28(5-6),2010,1445-1460.
[54]LiuYang,HaiboChen.NonlocalBoundaryalueProblemforImpulsiveDifferentialEquationsofFractionalOrder,AdvancesinDifferenceEquations,vol.2011,ArticleID404917,16pages,2011.doi:10.1155/2011/404917.
[53]ZhisuLiu,HaiboChen.Variationalmethodstothesecond-orderimpulsivedifferentialequationwithDirichletboundaryvalueproblem,ComputersandMathematicswithApplications,61,2011,1687-1699.
[52]JuntaoSun,HaiboChenandLiuYang.Variationalmethodstofourth-orderimpulsivedifferentialequations.JournalofAppliedMathematicsandComputing,35(1-2),2011,323-340.(EI收錄)
[51]ZhisuLiu,HaiboChenandChengLiu.Positivesolutionsforsingularthird-ordernonhomogeneousboundaryvalueproblems.JournalofAppliedMathematicsandComputing,OnlineFirst?,28December2010.
[50]JuntaoSun,HaiboChen,JuanJ.Nieto.Homoclinicorbitsforaclassoffirst-ordernonperiodicasymptoticallyquadraticHamiltoniansystemswithspectrumpointzero.JournalofMathematicalAnalysisandApplications,378(1),2011,117-127.(SCI)
[49]JuntaoSun,HaiboChen,LiuYang.PositivesolutionsofasymptoticallylinearSchrodinger–Poissonsystemswithradialpotentialvanishingatinfinity.NonlinearAnalysis:Theory,Methods&Applications,74(2),2011,413-423.(SCI)
[48]JuntaoSun,HaiboChen,JuanJ.Nieto.Homoclinicsolutionsforaclassofsubquadraticsecond-orderHamiltoniansystems.JournalofMathematicalAnalysisandApplications,373（1）,2011,20-29.(SCI)
[47]ZuoweiCai,LihongHuang,HaiboChen.Positiveperiodicsolutionforamultispeciescompetition-PredatorsystemwithHollingIIIfunctionalresponseandtimedelays.AppliedMathematicsandcomputation,InPress,Availableonline24November2010
[46]ChaoxiongDu,HaiboChen,YirongLiu.Centerproblemandbifurcationbehaviorforaclassofquasianalyticsystems.AppliedMathematicsandComputation,217（9）,2011,4665-4675.(SCI)
[45]JuntaoSun,HaiboChenandTiejunZhou.Multiplicityofsolutionsforafourth-orderimpulsivedifferentialequationviavariationalmethods.Bull.Aust.Math.Soc.82(2010),446–458
doi:10.1017/S0004972710001802(SCI)
[44]PeiluanLi,HaiboChen,YusenWu.MultiplePositiveSolutionsforann-PointNonhomogeneousBoundaryValueProblemsinBanachSpaces.ResultsinMathematics,58,2010,297–316.
[43]PeiluanLi,HaiboChen,YusenWu.Multiplepositivesolutionsofn-pointboundaryvalueproblemsforp-Laplacianimpulsivedynamicequationsontimescales.Computers&MathematicswithApplications,60(9),2010,2572-2582.(SCI)
[42]ChaoxiongDu,YirongLiu,HaiboChen.TheBifurcationoflimitcyclesinZn-equivariantvectorfields.AppliedMathematicsandComputation,217（5）,2010,2041-2056.(SCI)
[41]HaiboChen,JuntaoSun.Anapplicationofvariationalmethodtosecond-orderimpulsivedifferentialequationonthehalf-line.AppliedMathematicsandComputation,217(5),2010,1863-1869.(SCI)
[40]LiuYang,HaiboChen.Uniquepositivesolutionforboundaryvalueproblemoffractionaldifferentialequations.AppliedMathematicsLetters,23（9）,2010,1095-1098.(SCI)
[39]JuntaoSun,HaiboChen.MultiplicityofsolutionsforaclassofimpulsivedifferentialequationswithDirichletboundaryconditionsviavariantfountaintheorems.NonlinearAnalysis:RealWorldApplications,11(5),2010,4062-4071.(SCI)
[38]JuntaoSun,HaiboChen,LiuYang.Theexistenceandmultiplicityofsolutionsforanimpulsivedifferentialequationwithtwoparametersviavariationalmethod.NonlinearAnalysis:Theory,Methods&Applications,73(2),2010,440-449.(SCI)
[37]YulinZhao,HaiboChen.Existenceofmultiplepositivesolutionsforsingularfunctionaldifferentialequationwithsign-changingnonlinearity.JournalofComputationalandAppliedMathematics,234(5),2010,1543-1550.(SCI)
[36]JuntaoSun,HaiboChen,JuanJ.Nieto,MarioOtero-Novoa.Multiplicityofsolutionsforperturbedsecond-orderHamiltoniansystemswithimpulsiveeffects.NonlinearAnalysis:Theory,Methods&Applications,72（12）,2010,4575-4586.(SCI)
[35]LiuYang,HaiboChen.Existenceandmultiplicityofsolutionstoevenorderordinarydifferentialequationsviavariationalmethods.NonlinearAnalysis:Theory,Methods&Applications,72(7-8),2010,3422-3428.(SCI)
[34]QinlongWang,YirongLiu,HaiboChen.Hopfbifurcationforaclassofthree-dimensionalnonlineardynamicsystems.BulletindesSciencesMathématiques,134(7),2010,786-798.(SCI)
[33]JuntaoSun,HaiboChen.VariationalmethodtotheimpulsiveequationwithNeumannboundaryconditions,BoundaryValueProblems,2009(2009),ArticleID316812,17pages（SCI）
[32]YulinZhao,HaiboChen.TriplepositivesolutionsfornonlinearboundaryvalueproblemsinBanachspace,Computers&MathematicswithApplications,58(9),2009,1780-1787.(SCI)
[31]JuntaoSun,HaiboChen.Multiplepositivesolutionsformulti-pointboundaryvalueproblemswithap-Laplacianonthehalf-line,JournalofAppliedMathematicsandComputing,33(1-2),2010,173-191.
[30]PeiluanLi,HaiboChenandYusenWu.Existenceofsolutionsofn-pointboundaryvalueproblemsonthehalf-lineinBanachspaces,ActaApplicandaeMathematicae,110(2),2010,785-795.
[29]HaihuaWang,HaiboChen.Existenceofpositivesolutionsforasystemofsecond-orderm-pointBVPSwithvariableparameters,JournalofAppliedMathematicsandComputing,31（1-2），2009，517–531.
[28]PeiluanLi,HaiboChen,QiZhang.Multiplepositivesolutionsofn-pointboundaryvalueproblemsonthehalf-lineinBanachspaces,CommunicationsinNonlinearScienceandNumericalSimulation,14(7),2009,2909-2915.(SCI)
[27]HaiboChen,PeiluanLi.Exstenceofsolutionsofthree-pointboundaryvalueproblemsinBanachspaces,MathematicalandComputerModelling,49(3-4),2009,780-788.(SCI)
[26]HaiboChen,YirongLiu,PeiYu.Centerandisochronouscenteratinfinityinaclassofplanardifferentialsystems.DynamicsofContinuous,DiscreteandImpulsiveSystems,SeriesB,15(1),2008,57-74.(SCI)
[25]YulinZhao,HaiboChen.Multiplicityofsolutionstotwo-pointboundaryvalueproblemsforsecond-orderimpulsivedifferentialequations.AppliedMathematicsandComputation，206(2),2008,925-931.
[24]HaiboChen,PeiluanLi.Three-pointBoundaryvalueproblemsforsecond-orderordinarydifferentialequationsinBanachspaces,ComputersandMathematicswithApplications,56(7),2008,1852-1860.(SCI)
[23]HaiboChenandHaihuaWang,Triplepositivesolutionsofboundaryvalueproblemsforp-Laplacianimpulsivedynamicequationsontimescales,MathematicalandComputerModelling,47(9-10)(2008),917-924.(SCI)
[22]YulinZhao,HaiboChen.Existenceofmultiplepositivesolutionsform-pointboundaryvalueproblemsinBanachspaces.JournalofComputationalandAppliedMathematics,215(1)(2008),79-90.(SCI)
[21]YulinZhao,HaiboChen.ApproximateSystemforQuadraticHamiltonianSystemwithMultipleLimits.JournalofHunanUniversityofTechnology(inChinese),22(2),2008,25-28.
[20]YulinZhao,HaiboChen.Theupperboundofthenumberoflimitcyclesforaclassofnon-Hamiltonianintegralsystem.CollegeMathematics(inChinese),24(5),2008,34-37.
[19]HaiboChen,HaihuaWang,QiZhang,TiejunZhou.Doublepositivesolutionsofboundaryvalueproblemsforp-Laplacianimpulsivefunctionaldynamicequationsontimescales.Computers&MathematicswithApplications,53(10),2007,1473-1480.(SCI)
[18]HaiboChen.Positivesolutionfornonhomogeneousthree-pointboundaryvalueproblemofsecondorderdifferentialequations.MathematicsandComputerModelling,45(2007),844-852.(SCI)
[17]HaiboChen,HaihuaWang,QiZhang.Doublepositivesolutionsofboundaryvalueproblemsforp-Laplacianimpulsivefunctionaldynamicequationsontimescales.ComputersandMathematicswithApplications.53(10),2007,1473-1480.(SCI)
[16]HaihuaWang,HaiboChen.Positivesolutionsofanonlinearsecond-ordern-pointboundaryvalueproblem.AppliedMathematicsandComputation.186(2,)2007,1129-1136.(SCI)
[15]HaihuaWang,HaiboChen.Boundaryvalueproblemforsecond-oderimpulsivefunctionaldifferentialequations.AppliedMathematicsandComputation,191(2),2007,582-591.(SCI)
[14]YulinZhao,HaiboChen.OnQualitativeAnalysisofPredator-PreySystemwithFunctionalResponseFunctionkx~θ/(a+x~θ).MathematicsinPracticeandTheory(inChinese),37(5),2007,118-121.
[13]YulinZhao,HaiboChen.ExistenceandUniquenessofLimitCyclesofaPredator-PreySystemwithFunctionalResponsekx~θ.JournalofBiomathematics(inChinese),21（4），2006，515-520.
[12]HaiboChen,HaihuaWang,Globalattractivityofthedifferenceequation.AppliedMathematicsandComputation,181（2），2006，1431-1438.(SCI)
[11]QiZhang,YirongLiuandHaiboChen.Bifurcationattheequatorforaclassofquinticpolynomialdifferentialsystem.AppliedMathematicsandComputation，181（1），2006，747-755.(SCI)
[10]HaihuaWang,HaiboChen.ExistenceofTriplePositiveSolutionsforSecondOrderMulti-pointBoundaryValueProblem.JournalofChangshaCommunicationsUniversity(inChinese),22(3),2006,83-86.
[9]HaiboChen,YirongLiu,XianwuZeng.AlgebraicRecursionFormulasforQuantitiesofEquatorinaPlanarPolynomialDifferentialSystem.ActaMathematicaSinica,48(5),2005,963-972.
[8]HaiboChen,YirongLiu,ZengXianwu.Centerconditionsandbifurcationoflimitcyclesatdegeneratesingularpointsinaquinticpolynomialdifferentialsystem,BulletinDesSciencesMathematiques,129,2005,127-138.(SCI)
[7]HaiboChen,YirongLiu.Linearrecursionformulasofquantitiesofsingularpointandapplications,AppliedMathematicsandComputation，148(1)2004,163-172.(SCI)
[6]HaiboChen,YirongLiu.Limitcyclesoftheequatorinaquinticpolynomialsystem.ChineseAnnalsofMathematics,24A:2,2003,219-224.
[5]YirongLiu,HaiboChen.Stabilityandbifurcationoflimitcyclesoftheequatorinaclassofcubicpolynomialsystem.ComputersandMathematicswithApplications,44(2002),997-1005.(SCI)
[4]HaiboChen,YirongLiu.Formulasofsingularpointquantitiesandthefirst10saddlequantitiesforaclassofcubicsystem.ActaMathematicaeApplicataeSinica,25（2）,2002,295-302.
[3]HaiboChen，JiaowanLuo.Stabilityandbifurcationoflimitcyclesoftheequatorinaclassofsepticpolynomialsystems.MathematicaApplicata(inChinese),15(2),2002,22-25.
[2]HaiboChen.Theproblemofcentersofpolynomialvectorfields.MathematicsTheorywithApplications,22(2),2002,64-67.
[1]HaiboChen,YirongLiu.LimitcyclesinageneralizedGause-typepredator-preysystem.JournalofCSUT,8(4),2001,283-286.(SCI)