人物成績
(1)非線性發展系統的動力學穩定性,山東省高等學校科技進步二等獎。2001,獨立。
(2)非線性微分方程的動力學行為分析,山東省高等學校科技進步二等獎。2003,獨立。
近期研究興趣
動力系統、控制系統的穩定性分析、隨機動力系統,非線性微分方程。
代表性論著
1.李德生、李清儀。Cahn-Hilliard方程動力學穩定性,數學學報,2000,(1):127-134.(A類核心)
2.李德生、王宗信、王志林。一類非經典擴散方程整體解的存在唯一性及長時間行為、套用數學學報。1998,(2):267-276.(A類核心)
3.LiDeshengandZhongChengkui,GlobalattractorfortheCahn-Hilliardsystemwithfastgrowingnonlinearity,J.DifferentialEquations,1998,149(2):191-210.(SCI)
4.LiDeshengandZhangXiaoxian,Stronglypositivelyinvariantattractorsforperiodicprocesses,
J.Math..Anal..Appl..,2000,241:10-29.(SCI)
5.LiDesheng,Peano’stheoremforimplicitdifferentialequations.J.Math.Anal.Appl.,2001,258:591-616.(SCI)
6.LiDesheng,Ondynamicalstabilityingeneraldynamicalsystems.J.Math.Anal.Appl.,2001,263:455-478.(SCI)
7.LiDesheng,Dichotomiesofsolutionsforaclassofsecond-ordernonlineardifferentialequations,GlasgowMath.Journal,2002,44(2):339-348.(SCI)
8.LiDeshengandHuangHaiyang,Blow-upphenomenaofsecond-orderdifferentialequations,J.Math.Anal.Appl.,2002,276(1):184-195.(SCI)
9.LiDeshengandXiaoxianZhang,Onthestabilityingeneralgynamicalsystemsanddifferential
inclusions,J.Math.Anal.Appl.,2002,274(2):705.(SCI)
10.LiDeshengandLiangYantang,Viscositysolutionsmethodforperiodicsolutionsofimplicitfirst-orderdifferentialequations.Comm.OnAppliedNonlinearAnalysis,2003,10:21-35.
11.LiDeshengandLiangYantang,Existenceofperiodicsolutionsforfullynonlinearfirst-orderdifferentialequations,NonlinearAnalysis,TMA,2003,52:1095-1109.(SCI)
12.LiDeshengandP.E.Kloeden,Equi-attractionandcontinuousdependenceofattractorsonparameters,GlasgowMath.Journal,2004,46:1-11.(SCI)
13.LiDeshengandP.E.Kloeden,Equi-attractionandthecontinuousdependenceofpullbackattractorsonparameters,Stochasticsand
Dynamics,2004,4:373-384.
14.ZhongChengkui,LiDeshengandP.E.Kloeden,Uniformattractorsofperiodicand
asymptoticallyperiodicdynamicalsystems,DiscreteandContinuousDyniamicalsystems,2004,11(4).
(SCI)
15.WangYejuan,LiDeshengandP.E.Kloeden,Ontheasymptoticbehaviorofnonautomousdynamical
systems,NonlinearAnalysis,TMA,2004,59:35-53.(SCI)
16.LiDeshengandP.E.Kloeden,Robustnessofasymptoticstabilitytosmalltimedelays,Discreteand
ContinuousDyniamicalSystems,toappearin2005.(邀請論文)(SCI核心期刊)