目前主要興趣：
非均衡與隨機(jī)介質(zhì)中的行波現(xiàn)象。含有空間結(jié)構(gòu)的系統(tǒng)（主要由拋物方程及類似方程生成）的動(dòng)力學(xué)的精細(xì)刻劃。生態(tài)學(xué)、傳染病學(xué)及材料學(xué)中應(yīng)用。

主要工作
1.(withXiaotaoLinandHiroshiMatano),Avariationalproblemassociatedwiththeminimalspeedoftravellingwavesforspatiallyperiodicreaction-diffusionequations,Trans.Amer.Math.Soc.,5605-5633,2010.
2.(withXiaoqiangZhao),Spreadingspeedsandtravelingwavesforabstractmonostableevolutionsystems,JournalofFunctionalAnalysis,259857–903,2010
3．(withXiaoqiangZhao),AsymptoticSpeedsofSpreadandTravelingWavesforMonotoneSemiflowswithApplications,CommunicationsonPureandAppliedMathematics,Vol.60,1–40,2007.
4．(withJifaJiang),CompetitivesystemswithmigrationandthePoincare-Bendixsontheoremfora4-dimensionalcase,QuarterlyofAppliedMathematics,Vol.64,483-498,2006.
5.(withYihongDu),SpatiallyAdiffusivecompetitionmodelwithaprotectionzone,J.DifferentialEquations,Vol.244,61-86,2008.
6.(withJifaJiangandXiaoqiangZhao),SaddlePointBehaviorforMonotoneSemiflowsandReaction-DiffusionModels,J.DifferentialEquations,Vol.203,313—330,2004.
7．(withYingfeiYiandXiao-qiangZhao),Spreadingspeedsandtravelingwavesforperiodicevolutionsystems,JournalofDifferentialEquations,Vol.231,Issue1,57-77,2006.
8.XingLiangandJifaJiang,Discreteinfinitedimensionaltype-Kmonotonedynamicalsystemsandtime-periodicreactiondiffusionsystems,J.DifferentialEquations,Vol.189,no.1,318-354,2003.
9.XingLiangandJifaJiang,Onthefinitedimensionaldynamicalsystemswithlimitedcompetition,Trans.Amer.Math.Soc.,Vol.354,3535-3554,2002.　　

研究方向  Researchdirection 
1、非線性分析/應(yīng)用分析
2、拋物方程
3、無窮維動(dòng)力系統(tǒng)