东华大学理学院研究生导师简介

理学院副教授、硕士生导师。研究方向：

非线性偏微分方程的理论与应用。近几年担任的科研项目：主持东华大学科技发展基金“关于奇性波的非线性几何光学理论及行波解的研究”（2005.10－2006.9）。近几年发表的论著:【1】PengYahong,WangY.-G.:MultipleHighlyOscillatoryShockWaves.AsymptoticAnalysis,57（3-4）(2008),143-198.【2】SongYongli,PengYahong,WeiJunjie:Bifurcationsforapredator-preysystemwithtwodelays.J.Math.Anal.Appl.337(1)(2008),466--479.【3】JianmingZhang,PengYahong:TravellingwavesofthediffusiveNicholson’sblowfliesequationwithstronggenericdelaykernelandnon-localeffect.Nonl.Anal.68（5）（2008),1263-1270.【4】PengYahong,SongYongli:Existenceoftravelingwavesolutionsforareaction-diffusionequationwithdistributeddelays.Nonl.Anal,67(8)(2007),2415-2423.【5】PengYahong,WangY.-G.:Nonlineargeometricopticsforcontactdiscontinuitiesandshockwavesinone-dimensionalEulersystemforgasdynamics.J.DifferentialEquations,229(2006),317-352.【6】PengYahong，SongYongli：Existenceoftravellingwavefrontsforadiffusivevectordiseasemodelwithdelay.J.Dyn.ControlSyst.12(1)(2006),97--107.【7】SongYongli,PengYahong:StabilityandbifurcationanalysisonaLogisticmodelwithdiscreteanddistributeddelays.AppliedMathematicsandComputation.181(2)(2006),1745-1757.【8】SongYongli,PengYahong：Periodicsolutionsofanonautonomousperiodicmodelofpopulationwithcontinuousanddiscretetime.JournalofComputationalandAppliedMathematics,188(2)(2006),256-264.【9】张建明,彭亚红:具有非局部反应的时滞扩散Nicholson方程的行波解，数学年刊,A辑,27(6)(2006),771-778.【10】PengYahong,WangYaguang：Largesolutionofasemilinearellipticproblem,ComputersandMathematicswithApplication,49,(2005),1387-1395.【11】彭亚红,具有非线性梯度项的半线性椭圆型方程的爆炸解，数学年刊,26A(2),(2005),291-296.【12】PengYahong,SongYongli:Existenceofentirelargepositivesolutionsofasemilinearellipticsystem.Appl.Math.Comput.155（3）(2004,687-698.【13】SongYongli,PengYahong,HanMaoan：TravellingwavefrontsinthediffusivesinglespeciesmodelwithAlleeeffectanddistributeddelay,AppliedMathematicsandComputation,(NewYork),52(2),(2004),483-497.【14】PengYahong,Wang,Yaguang,SongYongli:Existenceofexplosivesolutionsofnonlinearellipticproblems.(Chinese)Math.Appl.(Wuhan)16(2003),no.3,128―135.讲授课程:微积分；概率论与数理统计；线性代数；数学物理方程办公室电话:021－67792309电子邮箱地址:[email protected]学生寄语：天道酬勤