代国伟，男，汉族,1983年8月生，博士，硕士研究生导师。2006年至2009年在兰州大学师于范先令教授攻读硕士学位。2009年到西北师范大学工作。2011年破格晋升为讲师。2010年至2013年师于马如云教授攻读博士学位。主要研究方向是分歧理论及其应用、临界点理论及其应用、非线性微分方程解集的全局结构等。在大范围单边分歧理论及其应用方面做出了重要工作。共完成学术论文44篇。其中39篇论文发表在J.Funct.Anal、J.DifferentialEquations、Commun.PureAppl.Anal.、ComplexVar.EllipticEqu.、J.Math.Anal.Appl.、NonlinearAnal.RealWorldAppl.、Appl.Math.Lett.、NonlinearAnal.、Appl.Anal.、Appl.Math.Comput.、Bound.ValueProbl.、Adv.DifferenceEqu.、Electron.J.Qual.TheoryDiffer.Equ.、Electron.J.DifferentialEquations和ActaMath.Sci.等SCI学术刊物上。其论文被引用270余次。是国际杂志TheScientificWorldJournal(SCIE)编委委员。是20余种SCI杂志审稿人。荣获甘肃省高校科技进步奖一等奖2次。

承担的科学基金项目

1.2013.01-2016.12,主持国家自然科学基金“非线性微分方程的单侧全局分歧和结点解”(编号:**).经费:45万元.
2.2013.01-2015.12,参与国家自然科学基金“带权函数的二阶线性常微分方程多点边值问题的谱及其应用”(编号:**).经费:23万元.
3.2011.01-2013.12,参与国家自然科学基金“高阶线性差分算子的谱结构及相应非线性问题解的分歧”(编号:**).经费:29万元.
4.2010.01-2012.12,参与国家自然科学基金“变指数非线性分析”(编号:**).经费:26万元.
5.2010.01-2012.12,主持西北师范大学青年教师科研能力提升计划项目“变指数非局部偏微分方程解的存在性和正则性”(编号:NWNU-LKQN-10-21).经费:2.5万元.
6.2009.01-2011.12,主持西北师范大学自然科学青年基金“无界柱形区域上的变指数偏微分方程”(编号:NWNU-LKQN-09-1).经费:0.3万元.
7.2011.01-2013.12,参与甘肃省自然科学青年基金“吊桥型方程及变指数弹性振动方程解的渐近性”(编号:1107RJZA223).经费:3万元.

近五年的主要论著

1.RuyunMaandGuoweiDai,GlobalbifurcationandnodalsolutionsforaSturm-Liouvilleproblemwithanonsmoothnonlineariy,J.Funct.Anal.265(2013)1443-1459.
2.GuoweiDai,RuyunMa,Unilateralglobalbifurcationphenomenaandnodalsolutionsforp-Laplacian,J.DifferentialEquations252(2012)2448-2468.
3.GuoweiDai,RuyunMaandHaiyanWang,Eigenvalues,bifurcationandone-signsolutionsfortheperiodicp-Laplacian,Commun.PureAppl.Anal.12(2013)2839-2872.
4.GuoweiDai,XiaolingHanandRuyunMa,Unilateralglobalbifurcationandnodalsolutionsforthep-Laplacianwithsign-changingweight,ComplexVar.EllipticEqu.DOI:10.1080/**.2013.791686.
5.GuoweiDai,Notesonsymmetricandmonotonicsolutionsofanonlocaldiffusivelogisticequation,Appl.Math.Lett.26(2013)804-806.
6.GuoweiDai,Bifurcationandnodalsolutionsforp-Laplacianproblemswithnon-asymptoticnonlinearityat0or∞,Appl.Math.Lett.26(2013)46-50.
7.GuoweiDaiandRuyunMa,Solutionsforap(x)-KirchhofftypeequationwithNeumannboundarydata,NonlinearAnal.RealWorldAppl.12(2011)2666-2680.
8.GuoweiDaiandRuifangHao,Existenceofsolutionsforap(x)-Kirchhoff-typeequation,J.Math.Anal.Appl.359(2009)275-284.
9.GuoweiDaiandDuchaoLiu,Infinitelymanypositivesolutionsforap(x)-Kirchhoff-typeequation,J.Math.Anal.Appl.359(2009)704-710.
10.GuoweiDai,RuyunMaandYanqiongLu,Bifurcationfrominfinityandnodalsolutionsofquasilinearproblemswithoutthesignumcondition,J.Math.Anal.Appl.397(2013)119-123.
11.GuoweiDaiandRuyunMa,Globalbifurcation,Berestycki’sconjectureandone-signsolutionsforp-Laplacia,NonlinearAnal.91(2013)51-59.
12.GuoweiDai,Infinitelymanysolutionsforap(x)-LaplacianequationinR^N,NonlinearAnal.71(2009)1133-1139.
13.GuoweiDai,Arbitrarilymanysolutionsforaperturbedp(x)-Laplacianequationinvolvingoscillatoryterms,Appl.Math.Comput.215(2009)2544-2556.
14.GuoweiDai,InfinitelymanysolutionsforadifferentialinclusionprobleminR^Ninvolvingthep(x)-Laplacian,NonlinearAnal.71(2009)1116-1123.
15.GuoweiDai,Infinitelymanysolutionsforahemivariationalinequalityinvolvingthep(x)-Laplacian,NonlinearAnal.71(2009)186-195.
16.GuoweiDaiandJianWei,Infinitelymanynon-negativesolutionsforap(x)-Kirchhoff-typeproblemwithDirichletboundarycondition,NonlinearAnal.73(2010)3420-3430.
17.GuoweiDaiandWulongLiu,Threesolutionsforadifferentialinclusionprobleminvolvingthep(x)-Laplacian,NonlinearAnal.71(2009)5318-5326.
18.GuoweiDai,Threesymmetricsolutionsforadifferentialinclusionsysteminvolvingthe(p(x),q(x))-LaplacianinR^N,NonlinearAnal.71(2009)1763-1771.
19.GuoweiDai,Ahemivariationalinequalityinvolvingp-Laplacianonaninfinitestrip,NonlinearAnal.72(2010)2127-2135.
20.GuoweiDai,InfinitelymanysolutionsforaNeumann-typedifferentialinclusionprobleminvolvingthep(x)-Laplacian,NonlinearAnal.70(2009)2297-2305.
21.GuoweiDai,NonsmoothversionofFountaintheoremanditsapplicationtoaDirichlet-typedifferentialinclusionproblem,NonlinearAnal.72(2010)1454-1461.
22.GuoweiDai,Infinitelymanynon-negativesolutionsforaDirichletprobleminvolvingp(x)-Laplacian,NonlinearAnal.71(2009)5840-5849.
23.GuoweiDai,ThreesolutionsforaNeumann-typedifferentialinclusionprobleminvolvingthep(x)-Laplacian,NonlinearAnal.70(2009)3755-3760.
24.GuoweiDai,Existenceandmutiplicityofsolutionsforadifferencialinclusionprobleminvolvingthep(x)-Laplacian,E.J.DifferentialEquationsVol.2010(2010),No.44,pp.1-9.
25.GuoweiDai,ThreesolutionsforanonlocalDirichletboundaryvalueprobleminvolvingthep(x)-Laplacian,Appl.Anal.92(1)(2013)191-210.
26.GuoweiDai,Existenceofsolutionsforanon-localellipticsystemswithnonstandardgrowthconditions,Electron.J.DifferentialEquations,Vol.2011(2011),No.137,pp.1-13.
27.GuoweiDaiandRuyunMa,QiaozhenMa,Existenceofsolutionsforadifferentialinclusionproblemwithsingularcoefficientsinvolvingthep(x)-Laplacian,Bound.ValueProbl.2012,2012:11.
28.GuoweiDai,WentingWangandLiliFeng,Nonsmoothversionofdualfountaintheoremanditsapplicationtoadifferentialinclusionproblem,ActaMath.Sci.2012Vol.32(3):530-539.
29.GuoweiDai,RuyunMaandJiaXu,GlobalbifurcationandnodalsolutionsofN-dimensionalp-Laplacianinunitball,Appl.Anal.(2012),doi:10.1080/**.2012.678333.
30.GuoweiDai,Globalbranchingfordiscontinuousproblemsinvolvingthep-Laplacian,E.J.DifferentialEquations44(2013)1-10.
31.GuoweiDaiandXiaolingHan,Globalbifurcationandnodalsolutionsforfourth-orderproblemswithsign-changingweight,Appl.Math.Comput.219(2013)9399-9407.
32.GuoweiDaiandHuiliMa,Existenceanduniquenessofpositivesolutionsforaclassofweightsemilineareigenvalueproblems,JournalofNorthwestNormalUniversity(NaturalScience),V0l.482012No．6:13-16,21.
33.GuoweiDaiandChunfengYang,Existenceandmultiplicityofsolutionsforsemipositoneproblemsinvolvingp-Laplacian,Int.J.Math.Math.Sci.2012,2012:10.
34.GuoweiDai,Onpositivesolutionsforaclassofnonlocalproblems,Electron.J.Qual.TheoryDiffer.Equ.2012,No.58,1-12.
35.GuoweiDai,LocalC^{1}(\Omega})-minimizersversusW^{1,p(x)}(\Omega)-minimizersofnonsmoothfunctionals,ActaMath.Sci.2013Vol.33A(3):424-430.
36.GuoweiDaiandXiaoyanLi,OnNonlocalEllipticSystemsofp(x)-Kirchhoff-Typeunder　NeumannBoundaryCondition,J.Math.Res.Appl.33(4)(2013)443-450.
37.RuyunMaandGuoweiDai,Periodicsolutionsofnonlocalsemilinearfourth-orderdifferentialequations,NonlinearAnal.74(2011)5023-5029.
38.RuyunMaandGuoweiDai,ChenghuaGao,Existenceandmultiplicityofpositivesolutionsforaclassofp(x)-Kirchhofftypeequations,Bound.ValueProbl.2012,2012:16.
39.ChenghuaGao,GuoweiDaiandRuyunMa,Existenceofpositivesolutionstodiscretesecondorderboundaryvalueproblemswithindefiniteweight,Adv.DifferenceEqu.2012,2012:3.
40.RuyunMa,BianxiaYangandGuoweiDai,Nodalsolutionsofsecond-ordertwo-pointboundaryvalueproblems,Bound.ValueProbl.2012,2012:13.
41.ShifengYangandGuoweiDai,Existenceresultsforavariableexponentellipticproblemviatopologicalmethod,Bound.ValueProbl.2012,2012:99.
42.XiaolingHanandGuoweiDai,Onthesub-supersolutionmethodforp(x)-Kirchhofftype　equations,J.Inequal.Appl.2012,2012:283.
43.XiaolingHan,JiaXuandGuoweiDai,GlobalBifurcationin2m-OrderGenericSystemsofNonlinearBoundaryValueProblems,Abstr.Appl.Anal.2012,ArticleID804619,8pages.
44.XiaolingHan,XuanMaandGuoweiDai,Solutionstofourth-orderrandomdifferentialequationswithperiodicboundaryconditions,E.J.DifferentialEquations,235(2012)1-9.