唐先華[中南大學]

中南大學數學院的教授，博導。

簡介

唐先華(TangXianhua)，男，1963年3月出生，教授（博導），國際SCI雜誌《JournalofAppliedMathematics》編委，湖南省新世紀121人才工程第二層次人選，中南大學套用數學博士點負責人。1984年7月畢業於衡陽師專物理系；1990年6月於南開大學基礎數學專業研究生畢業，獲碩士學位；1995年8月調入原中南工業大學數軟系任教,1997年9月考入湖南大學套用數學系，在職攻讀套用數學專業泛函微分方程方向博士，於2000年5月畢業，獲博士學位,其畢業論文獲湖南省2002年優秀博士論文。1998年10月晉升為副教授，2000年10月破格晉升為教授,2002年評為博士生指導教師.2001年3月-2001年6月,應Dr.ZouXingfu邀請訪問加拿大Newfoundland紀念大學，合作研究三個月;2002年1月-2003年1月,被邀請訪問義大利國際理論物理中心(ICTP),做一年期的研究員。近年來，主要研究興趣是泛函微分方程、Hamilton系統及離散動力系統，在《J.DifferentialEquations》、《SIAMJ.Math.Anal.》、《Nonlinearity》、《J.LondonMath.Soc.》、《Proc.Amer.Math.Soc.》、《Proc.RoyalSoc.Edinburgh(A)》，《中國科學》等權威刊物上發表了論文90餘篇，其中被SCI檢索80餘篇。這些成果發表後，已被20多個國家的專家學者在SCI刊物他引415次，其中包括《J.DifferentialEquations》、《SIAMJ.Appl.Math.》和《Nonlinearity》等國際一流刊物。單篇被SCI他引41次。主持3項國家自然科學基金項目和教育部優秀青年教師資助計畫等4項省部級科研項目。2010年作為第一完成人獲湖南省自然科學一等獎。

研究方向：

泛函微分方程理論及套用；差分方程理論及套用；Hamilton系統；生態數學模型。

主講課程

本科生：複變函數；

研究生：矩陣分析、泛函微分方程、差分方程、臨界點理論、無窮維動力系統。

獲獎情況:

湖南省2002年優秀博士論文
2003年獲教育部優秀青年教師資助計畫項目
2010年獲郴洲市科技進步一等獎(第二完成人)
2010年獲湖南省自然科學一等獎(第一完成人)

在研項目：

1.Hamiltont系統的同宿、異宿軌及相關問題，國家自然科學基金，50萬，2012年-2015年，主持；

已完成項目:

2.時滯微分方程最小周期解及其相關問題研究，國家自然科學基金，27萬，2008年-2010年,主持；
3.時滯反應擴散方程動力性態的研究，國家自然科學基金，21萬，2005年-2007年，主持；
4.時滯反應擴散方程生態數學模型動力性態的研究，教育部優秀青年教師資助計畫項目,6萬，2004年-2005年,主持；
5.種群生態數學模型動力性態的研究,回國留學基金，2.0萬,2004年-2005年,主持；
6.非線性泛函微分方程解的整體性態的研究，湖南省優秀博士論文基金,3.0萬，2004年-2005年，獨立；
7.時滯反應擴散方程幾類問題研究,1.5萬，湖南省自然科學基金，2004年-2005年，主持.

已發表的論文與專著:

98.唐先華,何小飛,Lowerboundsforgeneralizedeigenvaluesofthequasilinearsystems,JournalofMathematicalAnalysisandApplications,385,72-85,1January2012.
97.唐先華,林曉艷,infinitelymanyhomoclinicorbitsforHamiltoniansystemswithindefinitesignsubquadraticpotentials,NonlinearAnalysis:TMA,74(17),6314-6325,December2011
96.張興永,唐先華,Periodicsolutionsforanordinaryp-Laplaciansystem,TAIWANESEJOURNALOFMATHEMATICS,15(3),1369-1396.JUN2011
95.廖茂新,唐先華,徐昌進,dynamicsofacompetitiveLotka-Volterrasystemwiththreedelays,APPLIEDMATHEMATICSANDCOMPUTATION,217(24),10024-10034AUG152011
94.蔣建初,唐先華,Oscillationofsecondorderhalf-lineardifferenceequations(II),APPLIEDMATHEMATICSLETTERS,24(9):1495-1501.SEP2011
93.廖茂新,唐先華,徐昌進,Stabilityandinstabilityanalysisforaratio-dependentpredator-preysystemwithdiffusioneffect,NONLINEARANALYSIS-REALWORLDAPPLICATIONS,12(3):1616-1626.JUN2011.
92.陳鵬,唐先華,Existenceofhomoclinicorbitsfor2nth-ordernonlineardifferenceequationscontainingbothmanyadvancesandretardations,JOURNALOFMATHEMATICALANALYSISANDAPPLICATIONS,381(2):485-505.SEP152011.
91.何小飛,張啟明,唐先華,OninequalitiesofLyapunovforlinearHamiltoniansystemsontimescales,JOURNALOFMATHEMATICALANALYSISANDAPPLICATIONS,381(2):695-705,SEP152011.
90.廖茂新,唐先華,歐陽致根,徐昌進,Dynamicalpropertiesofaclassofhigher-ordernonlineardifferenceequations,APPLIEDMATHEMATICSANDCOMPUTATION,217(12):5476-5479FEB152011.
89.徐昌進,唐先華,廖茂新,Stabilityandbifurcationanalysisofasix-neuronBAMneuralnetworkmodelwithdiscretedelays,NEUROCOMPUTING,74(5):689-707FEB2011.
88.陳鵬,唐先華,ExistenceofHomoclinicSolutionsforaClassofNonlinearDifferenceEquations,ADVANCESINDIFFERENCEEQUATIONS:Art.No.4703752010.
87.陳鵬,唐先華,Existenceofinfinitelymanyhomoclinicorbitsforfourth-orderdifferencesystemscontainingbothadvanceandretardation,APPLIEDMATHEMATICSANDCOMPUTATION,217(9):4408-4415JAN12011.
86.唐先華,林曉艷,肖莉,HomoclinicsolutionsforaclassofsecondorderdiscreteHamiltoniansystems,JOURNALOFDIFFERENCEEQUATIONSANDAPPLICATIONS,16(11):1257-12732010.
85.林曉艷,唐先華,ExistenceofinfinitelymanyhomoclinicorbitsindiscreteHamiltoniansystems,JOURNALOFMATHEMATICALANALYSISANDAPPLICATIONS,373(1):59-72JAN12011.
84.唐先華,孟瓊,Solutionsofasecond-orderHamiltoniansystemwithperiodicboundaryconditions,NONLINEARANALYSIS-REALWORLDAPPLICATIONS,11(5):3722-3733OCT2010.
83.徐昌進,唐先華,廖茂新,Frequencydomainanalysisforbifurcationinasimplifiedtri-neuronBAMnetworkmodelwithtwodelays,NEURALNETWORKS,23(7):872-880SEP2010.
82.唐先華,蔣建初,Existenceandmultiplicityofperiodicsolutionsforaclassofsecond-orderHamiltoniansystems,COMPUTERS&MATHEMATICSWITHAPPLICATIONS,59(12):3646-3655JUN2010.
81.徐昌進,唐先華,廖茂新,LocalHopfbifurcationandglobalexistenceofperiodicsolutionsinTCPsystem,APPLIEDMATHEMATICSANDMECHANICS-ENGLISHEDITION,31(6):775-786JUN2010.
80.徐昌進,唐先華,廖茂新,Stabilityandbifurcationanalysisofadelayedpredator-preymodelofpreydispersalintwo-patchenvironments,APPLIEDMATHEMATICSANDCOMPUTATION,216(10):2920-2936JUL152010.
79.張瓊芬,唐先華,Newexistenceofperiodicsolutionsforsecondordernon-autonomousHamiltoniansystems,JOURNALOFMATHEMATICALANALYSISANDAPPLICATIONS,369(1):357-367SEP12010.
78.孟瓊,唐先華,Solutionsofasecond-orderHamiltoniansystemwithperiodicboundaryconditions，COMMUNICATIONSONPUREANDAPPLIEDANALYSIS,9(4):1053-1067JUL2010.
77.廖茂新,唐先華,徐昌進,Generalformofsomerationalrecursivesequences,COMPUTERS&MATHEMATICSWITHAPPLICATIONS,59(1):360-364JAN2010.
76.廖茂新,唐先華,周盛凡,Existenceoftravelingwavefrontsinacooperativesystemswithdiscretedelays,APPLIEDMATHEMATICSANDCOMPUTATION,215(5):1806-1812NOV12009.
75.唐先華,XingfuZou,Theexistenceandglobalexponentialstabilityofaperiodicsolutionofaclassofdelaydifferentialequations,NONLINEARITY,22(10):2423-2442OCT2009.
74.廖茂新,唐先華,徐昌進,OnaConjectureforaHigher-OrderRationalDifferenceEquation,ADVANCESINDIFFERENCEEQUATIONS:Art.No.3946352009.
73.唐先華,肖莉,Homoclinicsolutionsforordinaryp-Laplaciansystemswithacoercivepotential,NONLINEARANALYSIS-THEORYMETHODS&APPLICATIONS,71(3-4):1124-1132AUG12009.
72.唐先華,肖莉,Homoclinicsolutionsforaclassofsecond-orderHamiltoniansystems,NONLINEARANALYSIS-THEORYMETHODS&APPLICATIONS,71(3-4):1140-1152AUG12009.
71.唐先華,林曉艷,Homoclinicsolutionsforaclassofsecond-orderHamiltoniansystems,JOURNALOFMATHEMATICALANALYSISANDAPPLICATIONS,354(2):539-549JUN152009.
70.唐先華,肖莉,Homoclinicsolutionsfornonautonomoussecond-orderHamiltoniansystemswithacoercivepotential,JOURNALOFMATHEMATICALANALYSISANDAPPLICATIONS,351(2):586-594MAR152009.
69.唐先華,肖莉,Existenceofperiodicsolutionstosecond-orderHamiltoniansystemswithpotentialindefiniteinsign,NONLINEARANALYSIS-THEORYMETHODS&APPLICATIONS,69(11):3999-4011DEC12008.
68.唐先華,周英告,OnexistenceofperiodicsolutionsofakindofRayleighequationwithadeviatingargument,NONLINEARANALYSIS-THEORYMETHODS&APPLICATIONS,69(8):2355-2361OCT152008.
67.唐先華,XingfuZou,Globalattractivityinapredator-preysystemwithpuredelays,PROCEEDINGSOFTHEEDINBURGHMATHEMATICALSOCIETY,51:495-508Part2JUN2008.
66.郭上江,唐先華,黃立宏,Stabilityandbifurcationinadiscretesystemoftwoneuronswithdelays,NONLINEARANALYSIS-REALWORLDAPPLICATIONS,9(4):1323-1335SEP2008.
65.郭上江,唐先華,黃立宏,Bifurcationanalysisinadiscrete-timesingle-directionalnetworkwithdelays,NEUROCOMPUTING,71(7-9):1422-1435MAR2008.
64.唐先華,林曉艷,Necessaryandsufficientconditionsforoscillationoffirst-ordernonlinearneutraldifferenceequations,COMPUTERS&MATHEMATICSWITHAPPLICATIONS,55(6):1279-1292MAR2008.
63.唐先華,蔣致遠,Periodicsolutionsoffirst-ordernonlinearfunctionaldifferentialequations,NONLINEARANALYSIS-THEORYMETHODS&APPLICATIONS,68(4):845-861FEB152008.
62.蔣建初,唐先華,Oscillationandasymptoticbehavioroftwo-dimensionaldifferencesysterns,COMPUTERS&MATHEMATICSWITHAPPLICATIONS,54(9-10):1240-1249NOV2007.
61.唐先華,蔣致遠,Stabilityinm-dimensionallineardelaydifferencesystem,JOURNALOFDIFFERENCEEQUATIONSANDAPPLICATIONS,13(10):927-9442007.
60.林曉艷,唐先華,Oscillationofsolutionsofneutraldifferentialequationswithasuperlinearneutralterm,APPLIEDMATHEMATICSLETTERS,20(9):1016-1022SEP2007.
59.蔣建初,唐先華,Oscillationcriteriafortwo-dimensionaldifferencesystemsoffirstorderlineardifferenceequations,COMPUTERS&MATHEMATICSWITHAPPLICATIONS,54(6):808-818SEP2007.
58.周英告,唐先華,PeriodicsolutionsforakindofRayleighequationwithadeviatingargument,COMPUTERS&MATHEMATICSWITHAPPLICATIONS,53(5):825-830MAR2007.
57.周英告,唐先華,OnexistenceofperiodicsolutionsofRayleighequationofretardedtype,JOURNALOFCOMPUTATIONALANDAPPLIEDMATHEMATICS,203(1):1-5JUN12007.
56.唐先華,蔣致遠,AsymptoticbehaviorofVolterradifferenceequation,JOURNALOFDIFFERENCEEQUATIONSANDAPPLICATIONS,13(1):25-40JAN2007.
55.唐先華,曹道民,XingfuZou，GlobalattractivityofpositiveperiodicsolutiontoperiodicLotka–Volterracompetitionsystemswithpuredelay,J.DifferentialEquations,228(2006),580–610.
54.唐先華,XingfuZou，OnpositiveperiodicsolutionsofLotka-Volterracompetitionsystemswithdeviatingarguments,Proc.Amer.Math.Soc.134(2006),2967-2974.
53.唐先華,周英告,一類非線性泛函微分方程的周期解及全局吸引性,數學學報,49(4)(2006),899-908.
52.唐先華,Linearizedoscillationofoddordernonlinearneutraldifferentialequations(I),J.Math.Anal.Appl.322(2006)864–872.
51.唐先華,林曉艷,Necessaryandsufficientconditionsforoscillationoffirstordernonlinearneutraldifferentialequations,J.Math.Anal.Appl.321(2006)553–568.
50.唐先華,Asymptoticbehaviorofdelaydifferentialequationswith
instantaneouslyterms,J.Math.Anal.Appl.,302(2005),342-359.
49.唐先華,Asymptoticbehaviorofadifferentialequationwithdistributed
delays,J.Math.Anal.Appl.,301(2005),313-335.
48.唐先華,Oscillationoffirstorderdelaydifferentialequationswithdistributeddelay,J.Math.Anal.Appl.,289(2004),367-378.
47.唐先華,Stabilityinn-dimensionaldelaydifferentialequations,
J.Math.Anal.Appl.,295(2004),485-501.
46.唐先華,Globalattractivityforadelaylogisticequationwithinstantaneousterms,NonlinearAnalysis,59(2004),211-233.
45．唐先華,XingfuZou，Stabilityofscalardelaydifferentialequationswithdominantdelayedterms,Proc.RoyalSoc.Edinburgh(A),133(A)(2003),951-968.
44．唐先華,XingfuZou,Globalattractivityofnon-autonomousLotka-Volterracompetitionsystemwithoutinstantaneousnegativefeedbacks,J.DifferentialEquations,192(2003),502-535.
43．唐先華,劉玉記，Boundedoscillationforsecond-orderdelaydifferentialequationswithunstabletypeinacriticalcase，Appl.Math.Letters,16(2003),263-268
42．唐先華,Logistic增長的線性反饋控制,數學年刊,24A(1)(2003):101-112.
41．唐先華,XingfuZou,3/2-typecriteriaforglobalattractivityofLotka-Volterracompetitionsystemwithoutinstantaneousnegativefeedback,J.DifferentialEquations,186(2002),420-439.
40．JosephW.-H.So,唐先華,XingfuZou,Stabilityinlineardelaysystemwithoutinstantaneousnegativefeedbacks,SIAMJ.Math.Anal.33(6)(2002),1297-1304.
39．唐先華,XingfuZou,A3/2stabilityresultforaregulatedLogisticgrowthmodel,Disc.Conti.Dynam.Syst.B,2(2)(2002),265-278.
38．唐先華,XingfuZou,Asymptoticstabilityofaneutraldifferentialequation,Proc.EdinburghMath.Soc.45(2002),333-347.
37．庾建設,唐先華,Globalattractivityinadelaypopulationmodelunderimpulsiveperturbations,Bull.LondonMath.Soc.34(2002),319-328.
36.唐先華,Oscillationoffirst-ordersuplineardelaydifferentialequations,J.LondonMath.Soc.(2)65(2002),115-122.
35.唐先華,Boundedoscillationofsecond-orderdelaydifferenceequationsofunstabletype,ComputersMath.Applic.44(2002),1147-1156.
34.唐先華,Asymptoticbehaviorofsolutionsforneutraldifferenceequations,ComputersMath.Applic.44(2002),301-315.
33.蔣建初，唐先華,Oscillationofnonlineardelaydifferenceequations,J.Comput.Appl.Math.146（2002）,395-404.
32.唐先華，何智敏,庾建設,Stabilitytheoremfordelaydifferentialequationswithimpulses,Appl.Math.Comput.,131(2002),373-381.
31.唐先華，庾建設,非線性時滯差分方程的線性化振動性,數學學報,45(2002),517-528.
30.唐先華,關於<<偶數階中立型微分方程的線性化振動性的一個註記>>一文的註記,數學學報,45(2002),643-646.
29.唐先華,庾建設,Logistic型脈衝泛函微分方程零解的全局吸引性,數學學報,45(2002),941-952.
28.庾建設,唐先華,Comparisontheoremsfordelaydifferentialequationsinacriticalstate,J.LondonMath.Soc.(2)63(2001),188-204.
27．唐先華，庾建設,Linearizedoscillationoffirst-ordernonlinearneutraldelaydifferentialequations,J.Math.Anal.Appl.258(2001),194-208.
26．唐先華,Oscillationoffirst-ordernonlineardelaydifferentialequations,J.Math.Anal.Appl.264(2001),194-208.
25.唐先華,R.Y.Zhang,Newoscillationcriteriafordelaydifferenceequations,ComputersMath.Applic.42(2001),1319-1330.
24.唐先華,S.S.Cheng,Anoscillationcriterionforlineardifferenceequationswithoscillatingcoefficients,J.Comput.Appl.Math.132(2001):319-329.
23.唐先華，庾建設,3/2-globalattractivityofzerosolutionofthe“food-limited”typefunctionaldifferentialequations,ScienceinChina(A),44(2001),610-618.
22.唐先華,庾建設,Lotka-Volterra型泛函微分方程零解的全局吸引性,數學年刊,22A(3)(2001):285-296.
21.唐先華,<<非線性連續分布偏差變元微分方程的線性化振動性>>一文的註記,套用數學學報,24(3)(2001),473-475.
20.唐先華，庾建設,Oscillationoffirstorderdelaydifferentialequations,J.Math.Anal.Appl.248(2000),247-259.
19.唐先華，庾建設,Oscillationofnonlineardelaydifferenceequations,J.Math.Anal.Appl.249(2000),476-490.
18.庾建設,唐先華，Sufficientconditionsfortheoscillationoflineardelaydifferenceequationswithoscillatingcoefficients,J.Math.Anal.Appl.250(2000),735-742.
17.唐先華，庾建設,彭大衡，Oscillationandnonoscillationofneutraldifferenceequationswithpositiveandnegativecoefficients,ComputersMath.Applic.39(2000),169-181.
16.唐先華，庾建設,Oscillationofdelaydifferenceequationsinacriticalstate,Appl.Math.Letters,13(2000),9-15.
15.唐先華，庾建設，Newoscillationcriteriafordelaydifferenceequations,Dyn.Contin.DiscretImpulsSys.7(2000),525-531
14．唐先華,庾建設,”食物有限“型泛函微分方程零解的3/2-全局吸引性,中國科學,30A(10)(2000):900-913.
13．唐先華,庾建設,一類非線性FDE整體解的存在性及全局吸引性,數學年刊,21A(6)(2000):526-538.
12．唐先華,庾建設,王志成,臨界狀態下一階時滯微分方程的線性化振動性，數學學報，43(2)(2000):349-358.
11.AgarwalRaviP.,唐先華,王志成，Theexistenceofpositivesolutionstoneutralequations,J.Math.Anal.Appl.244(1999),446-467.
10.唐先華,庾建設,Oscillationofdelaydifferenceequations,ComputersMath.Applic.37(1999),11-20.
9.唐先華,庾建設,Afurtherresultontheoscillationofdelaydifferenceequations,ComputersMath.Applic.38(1999),229-237.
8．唐先華,庾建設,王志成,臨界狀態一階時滯微分方程振動性的比較定理,科學通報,44(1)(1999):26-31.
7.唐先華,庾建設,高階中立型非線性時滯微分方程振動及非振動性,數學年刊,20A(3)(1999):269-276.
6.唐先華,庾建設,具有正負係數中立型微分方程的正解,數學學報,42(5)(1999):795-802.
5.唐先華,庾建設,Oscillationandexistenceofpositivesolutionsforoddorderneutralequationswith"integrallysmall"coefficients,J.Math.Anal.Appl.222(1998),286-296.
4.唐先華,申建華,Oscillationofdelaydifferentialequationswithvariablecoefficients,J.Math.Anal.Appl.217(1998),32-42.
3.申建華,唐先華,Newoscillationcriteriaforlineardelaydifferentialequations,ComputersMath.Applic.36(1998),53-61.
2.申建華,唐先華,一類高階中立型微分方程的比較定理及套用,數學年刊,19A(3)(1998):339-344.
1.唐先華,申建華,Oscillationandexistenceofpositivesolutioninaclassofhigherorderneutralequations,J.Math.Anal.Appl.213(1997),662-680.