标题：代国伟
简介
代国伟，男，汉族, 1983年生，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。  生活照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。在大范围单侧分歧理论及其应用方面做出了重要工作。共完成学术论文30余篇。其中32篇论文发表在J. Differential Equations、J. Math. Anal. Appl.、Nonlinear Anal. Real World Appl.、Appl. Math. Lett.、Nonlinear Anal.、Appl. Anal.、Appl. Math. Comput.、Bound. Value Probl.、Adv. Difference Equ.、Electron. J. Qual. Theory Differ. Equ.、Electron. J. Differential Equations和Acta Math. Sci.等SCI学术刊物上。其论文被引用200余次。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:11261052). 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:11201378). 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:11061030). 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:10971087). 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. Guowei Dai, Ruyun Ma, Unilateral global bifurcation phenomena and nodal solutions for p-Laplacian, J. Differential Equations 252 (2012), 2448-2468.
2. Guowei Dai, Ruyun Ma, Solutions for a p(x)-Kirchhoff type equation with Neumann boundary data, Nonlinear Anal. Real World Appl. 12(2011) 2666-2680.
3. Guowei Dai, Ruifang Hao, Existence of solutions for a p(x)-Kirchhoff-type equation, J. Math. Anal. Appl. 359 (2009) 275-284.
4. Guowei Dai, Duchao Liu, Infinitely many positive solutions for a p(x)-Kirchhoff-type equation, J. Math. Anal. Appl. 359 (2009) 704-710.
5. Guowei Dai, Infinitely many solutions for a p(x)-Laplacian equation in R^N, Nonlinear Anal. 71 (2009) 1133-1139.
6. Guowei Dai, Arbitrarily many solutions for a perturbed p(x)-Laplacian equation involving oscillatory terms, Appl. Math. Comput. 215 (2009) 2544-2556.
7. Guowei Dai, Infinitely many solutions for a differential inclusion problem in R^N involving the p(x)-Laplacian, Nonlinear Anal. 71 (2009) 1116-1123.
8. Guowei Dai, Infinitely many solutions for a hemivariational inequality involving the p(x)-Laplacian, Nonlinear Anal. 71 (2009) 186-195.
9. Guowei Dai, Jian Wei, Infinitely many non-negative solutions for a p(x)-Kirchhoff-type problem with Dirichlet boundary condition, Nonlinear Anal. 73 (2010) 3420-3430.
10. Guowei Dai, Wulong Liu, Three solutions for a differential inclusion problem involving the p(x)-Laplacian, Nonlinear Anal. 71 (2009) 5318-5326.
11. Guowei Dai, Three symmetric solutions for a differential inclusion system involving the (p(x),q(x))-Laplacian in R^N, Nonlinear Anal. 71 (2009) 1763-1771.
12. Guowei Dai, A hemivariational inequality involving p-Laplacian on an infinite strip, Nonlinear Anal. 72 (2010) 2127-2135.
13. Guowei Dai, Infinitely many solutions for a Neumann-type differential inclusion problem involving the p(x)-Laplacian, Nonlinear Anal. 70 (2009) 2297-2305.
14. Guowei Dai, Nonsmooth version of Fountain theorem and its application to a Dirichlet-type differential inclusion problem, Nonlinear Anal. 72 (2010) 1454-1461.
15. Guowei Dai, Infinitely many non-negative solutions for a Dirichlet problem involving p(x)-Laplacian, Nonlinear Anal. 71 (2009) 5840-5849.
16. Guowei Dai, Three solutions for a Neumann-type differential inclusion problem involving the p(x)-Laplacian, Nonlinear Anal. 70 (2009) 3755-3760.
17. Guowei Dai, Existence and mutiplicity of solutions for a differencial inclusion problem involving the p(x)-Laplacian, E. J. Differential Equations Vol. 2010(2010), No. 44, pp. 1-9.
18. Guowei Dai, Three solutions for a nonlocal Dirichlet boundary value problem involving the p(x)-Laplacian, Appl. Anal. 2011, 1-20, iFirst.
19. 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.
20. Guowei Dai, Ruyun Ma, Qiaozhen Ma, Existence of solutions for a differential inclusion problem with singular coefficients involving the p(x)-Laplacian, Bound. Value Probl. 2012, 2012:11.
21. Guowei Dai, Wenting Wang, Lili Feng, Nonsmooth version of dual fountain theorem and its application to a differential inclusion problem, Acta Math. Sci. 2012 Vol. 32 (3): 530-539.
22. Ruyun Ma, Guowei Dai, Periodic solutions of nonlocal semilinear fourth-order differential equations, Nonlinear Anal. 74 (2011) 5023-5029.
23. Ruyun Ma, Guowei Dai, Chenghua Gao, Existence and multiplicity of positive solutions for a class of p(x)-Kirchhoff type equations, Bound. Value Probl. 2012, 2012:16.
24. Chenghua Gao, Guowei Dai, Ruyun Ma, Existence of positive solutions to discrete second order boundary value problems with indefinite weight, Adv. Difference Equ. 2012, 2012:3.
25. Ruyun Ma, Bianxia Yang, Guowei Dai, Nodal solutions of second-order two-point boundary value problems, Bound. Value Probl. 2012, 2012:13.
26. Guowei Dai, Ruyun Ma, Jia Xu, Global bifurcation and nodal solutions of N-dimensional p-Laplacian in unit ball, Appl. Anal. (2012), doi:10.1080/00036811.2012.678333.
27. Guowei Dai, Bifurcation and nodal solutions for p-Laplacian problems with non-asymptotic
nonlinearity at 0 or ∞, Appl. Math. Lett. (2012), doi:10.1016/j.aml.2012.03.030.
28. Guowei Dai, Ruyun Ma, Yanqiong Lu, Bifurcation from infinity and nodal solutions of quasilinear problems without the signum condition, J. Math. Anal. Appl. 2012, doi:10.1016/j.jmaa.2012.07.056.
29. Guowei Dai, Chunfeng Yang, Existence and multiplicity of solutions for semipositone problems involving p-Laplacian, Int. J. Math. Math. Sci. 2012, 2012:10.
30. Guowei Dai, On positive solutions for a class of nonlocal problems, Electron. J. Qual. Theory Differ. Equ. 2012, No. 58, 1–12.
31. Shifeng Yang, Guowei Dai, Existence results for a variable exponent elliptic problem via topological method, Bound. Value Probl. 2012, 2012:99.
32. Xiaoling Han, Guowei Dai, On the sub-supersolution method for p(x)-Kirchhoff typeequations, J. Inequal. Appl. 2012, 2012:283.
33. Xiaoling Han, Jia Xu, Guowei Dai, Global Bifurcation in 2m-Order Generic Systems ofNonlinear Boundary Value Problems, Abstr. Appl. Anal. 2012, Article ID 804619, 8 pages.
34. Xiaoling Han, Xuan Ma, Guowei Dai, Solutions to fourth-order random differential equations with periodic boundary conditions, E. J. Differential Equations, 235 (2012) 1-9.