代国伟
院系：数学科学学院
办公电话：**-8135
电子信箱：daiguowei@dlut.edu.cn
更新时间：2016-3-22
其他专业：应用数学



个人简介
2009年6月兰州大学数学与统计学院获硕士学位.
2009年7月—2014年10月西北师范大学数学与统计学院工作.
2013年1月—2013年6西安外国语大学参加教育部留学基金委外语培训.
2013年6月获博士学位.
2014年11月至今大连理工大学数学科学学院工作.
2014年6月—2014年7月中科院数学与系统科学学院访问.


社会兼职
1.美国数学会《数学评论》(Mathematical Review)评论员.
2.德国《数学文摘》(Zentralblatt Math.) 评论员.
3.《The Scientific World Journal》编委.


研究领域（研究课题）
研究领域：
分歧理论及其应用.

目前主要承担的研究项目：
1. 国家自然科学基金，项目号：**.
2. 国家自然科学基金，项目号：**.



硕博研究方向
1. 非线性泛函分析.
2. 分歧理论及其应用.


出版著作和论文
专著：
1. 代国伟，马如云，《分歧理论及其应用》，科学出版社，2014年.

以第一或通讯作者身份发表SCI检索论文40余篇。主要论文有：
1. Ruyun Ma and Guowei Dai*, Global bifurcation and nodal solutions for a Sturm-Liouville problem with a nonsmooth nonlineariy, J. Funct. Anal. 265 (2013) 1443-1459.
2. Guowei Dai*, Ruyun Ma, Unilateral global bifurcation for p-Laplacian with non-p?1-linearization nonlinearity, Discrete Contin. Dyn. Syst. 35 (2015) 99-118.
3. Guowei Dai*, Ruyun Ma, Eigenvalue, bifurcation and convex solutions for Monge-Ampere equations, Topol. Methods Nonlinear Anal. 46 (2015) 135-163.
4. Guowei Dai*, Ruyun Ma, Unilateral global bifurcation phenomena and nodal solutions for p-Laplacian, J. Differential Equations 252 (2012) 2448-2468.
5. Guowei Dai*, Ruyun Ma and Haiyan Wang, Eigenvalues, bifurcation and one-sign solutions for the periodic p-Laplacian, Commun. Pure Appl. Anal. 12 (2013) 2839-2872.
6. Guowei Dai*, Xiaoling Han and Ruyun Ma, Unilateral global bifurcation and nodal solutions for the p-Laplacian with sign-changing weight, Complex Var. Elliptic Equ. 59(6) (2014) 847-862.
7. Guowei Dai*, Notes on symmetric and monotonic solutions of a nonlocal diffusive logistic equation, Appl. Math. Lett. 26 (2013) 804-806.
8. Guowei Dai*, Bifurcation and nodal solutions for p-Laplacian problems with non-asymptotic nonlinearity at 0 or ∞, Appl. Math. Lett. 26 (2013) 46-50.
9. Guowei Dai* and Ruyun Ma, Solutions for a p(x)-Kirchhoff type equation with Neumann boundary data, Nonlinear Anal. Real World Appl. 12(2011) 2666-2680.
10. Guowei Dai* and Ruifang Hao, Existence of solutions for a p(x)-Kirchhoff-type equation, J. Math. Anal. Appl. 359 (2009) 275-284.
11. Guowei Dai* and Duchao Liu, Infinitely many positive solutions for a p(x)-Kirchhoff-type equation, J. Math. Anal. Appl. 359 (2009) 704-710.
12. Guowei Dai*, Ruyun Ma and Yanqiong Lu, Bifurcation from infinity and nodal solutions of quasilinear problems without the signum condition, J. Math. Anal. Appl. 397 (2013) 119-123.
13. Guowei Dai* and Ruyun Ma, Global bifurcation, Berestycki’s conjecture and one-sign solutions for p-Laplacia, Nonlinear Anal. 91 (2013) 51-59.
14. Guowei Dai*, Infinitely many solutions for a p(x)-Laplacian equation in RN, Nonlinear Anal. 71 (2009) 1133-1139.
15. Guowei Dai*, Arbitrarily many solutions for a perturbed p(x)-Laplacian equation involving oscillatory terms, Appl. Math. Comput. 215 (2009) 2544-2556.
16. Guowei Dai*, Infinitely many solutions for a differential inclusion problem in R^N involving the p(x)-Laplacian, Nonlinear Anal. 71 (2009) 1116-1123.
17. Guowei Dai*, Infinitely many solutions for a hemivariational inequality involving the p(x)-Laplacian, Nonlinear Anal. 71 (2009) 186-195.
18. Guowei Dai* and Jian Wei, Infinitely many non-negative solutions for a p(x)-Kirchhoff-type problem with Dirichlet boundary condition, Nonlinear Anal. 73 (2010) 3420-3430.
19. Guowei Dai* and Wulong Liu, Three solutions for a differential inclusion problem involving the p(x)-Laplacian, Nonlinear Anal. 71 (2009) 5318-5326.
20. Guowei Dai*, Three symmetric solutions for a differential inclusion system involving the (p(x),q(x))-Laplacian in RN, Nonlinear Anal. 71 (2009) 1763-1771.
21. Guowei Dai*, A hemivariational inequality involving p-Laplacian on an infinite strip, Nonlinear Anal. 72 (2010) 2127-2135.
22. Guowei Dai*, Infinitely many solutions for a Neumann-type differential inclusion problem involving the p(x)-Laplacian, Nonlinear Anal. 70 (2009) 2297-2305.
23. Guowei Dai*, Nonsmooth version of Fountain theorem and its application to a Dirichlet-type differential inclusion problem, Nonlinear Anal. 72 (2010) 1454-1461.
24. Guowei Dai*, Infinitely many non-negative solutions for a Dirichlet problem involving p(x)-Laplacian, Nonlinear Anal. 71 (2009) 5840-5849.
25. Guowei Dai*, Three solutions for a Neumann-type differential inclusion problem involving the p(x)-Laplacian, Nonlinear Anal. 70 (2009) 3755-3760.
26. Guowei Dai*, Existence and mutiplicity of solutions for a differencial inclusion problem involving the p(x)-Laplacian, Electron. J. Differential Equations Vol. 2010(2010), No. 44, pp. 1-9.
27. Guowei Dai*, Three solutions for a nonlocal Dirichlet boundary value problem involving the p(x)-Laplacian, Appl. Anal. 92(1) (2013) 191-210.
28. Guowei Dai*, Existence of solutions for a non-local elliptic systems with nonstandard growth conditions, Electron. J. Differential Equations, Vol. 2011 (2011), No. 137, pp. 1-13.
29. Guowei Dai*, Ruyun Ma and Jia Xu, Global bifurcation and nodal solutions of N-dimensional p-Laplacian in unit ball, Appl. Anal. 92(7) (2013) 1345-1356.
30. Guowei Dai*, Global branching for discontinuous problems involving the p-Laplacian, E. J. Differential Equations 44 (2013) 1-10.
31. Guowei Dai* and Xiaoling Han, Global bifurcation and nodal solutions for fourth-order problems with sign-changing weight, Appl. Math. Comput. 219 (2013) 9399-9407.
32. Guowei Dai*, On positive solutions for a class of nonlocal problems, Electron. J. Qual. Theory Differ. Equ. 2012, No. 58, 1-12.
33. Ruyun Ma and Guowei Dai*, Periodic solutions of nonlocal semilinear fourth-order differential equations, Nonlinear Anal. 74 (2011) 5023-5029.
34. Guowei Dai*, Ruyun Ma, Bifurcation from intervals for Sturm-Liouville problems and its applications, Electron. J. Differential Equations, 2014(03), 1-10.
35. Guowei Dai* and Ruyun Ma, Nodal Solutions for p-Laplacian Problems with Jumping Nonlinearities, 数学学报 57(1)(2014) 1-6.
36. Guowei Dai*, Global bifurcation from intervals for Sturm-Liouville problems which are not linearizable, Electron. J. Qual. Theory Differ. Equ. 65(2013) 1-7.
37. Guowei Dai*, Haiyan Wang and Bianxia Yang, Global bifurcation and positive solution for a class of fully nonlinear problems, Comput.Math. Appl. 69 (2015) 771-776.
38.XiyouCheng and Guowei Dai*, Positive solutions of sub-superlinear Sturm–Liouville problems, Appl. Math. Comput 261 (2015) 351–359.
39. XiyouCheng and Guowei Dai*, Positive solutions for p-Kirchhoff type
problems on RN, Math. Meth. Appl. Sci. 2015, 38 2650–2662.
40. Guowei Dai*, Ruyun Ma, Haiyan Wang, Feng Wang and Kuai Xu, Partial differential equations with Robin boundary condition in online social networks, Discrete Contin. Dyn. Syst. Ser. B 35 (2015) 99-118.
41. Guowei Dai*, Two global several-parameter bifurcation theorems and theirapplications, J. Math. Anal. Appl. 433 (2016) 749–761.


工作成果（奖励、专利等）
1. 2010年甘肃省高校科技进步一等奖.
2. 2012年甘肃省高校科技进步一等奖.
3. 2014年甘肃省高校科技进步一等奖.
3. 2014年甘肃省自然科学二等奖.


在读学生人数
硕士：2人；博士：0人.

毕业学生人数
0