编写教材情况 1) 《常微分方程》,伍卓群,李勇,高等教育出版社,2004年(普通高等教育十五国家级规划教材)。 2) 《常微分方程》,周钦德,李勇,吉林大学出版社,1995。 2000年以来发表论文目录 1. Y. Li and J. X. Yin,2000,Radially symmetric solutions of generalized mean curvature equation with singularity,Chin. Ann. Math. 21A,483-490 2. M. Kunze,T. Kupper and Y. Li,2000,On Conley index theory for non-smooth dynamical systems,Differential Integral Equations 13,479-502. 3. T. Kupper,Y. Li and B. Zhang,2000,Periodic solutions for dissipative-repulsive systems,Tohoku Math. J. 52(4),321-329. 4. Q. D. Huang,F. Z. Cong and Y. Li,2000,Hyperbolic lower dimensional invariant tori for Hamiltonian systems,J. Differential Equations 164,355-379. 5. F. Z. Cong,T. Kupper,Y. Li and J. G. You,2000,KAM-type theorem on resonant surfaces for nearly integrable Hamiltonian systems,J. Nonl. Sci. 10,49-68. 6. Q. D. Huang,F. Z. Cong and Y. Li,2001,Elliptic lower dimensional invariant tori for generalized Hamiltonian systems,Nonl. Anal. 45,241-260. 7. S. Y. Shi and Y. Li,2001,Non-integrability for general nonlinear systems,Z. Angew Math. Phys. 52,191-200. 8. S-N. Chow,Y. Li and Y. F. Yi,2002,Persistence of invariant tori on submanifolds in Hamiltonian systems,J. Nonlinear Sci.,Vol. 12,585-617. 9. Y. Li and Y. F. Yi,2002,Persistence of invariant tori for generalized Hamiltonian systems,Ergod. Th Dyn. Sys.,Vol. 22,1233-1261. 10. Y. Li and Y. F. Yi,2003,A quasiperiodic Poincare theorem,Math. Ann.,Vol. 326,649-690. 11. K. H. Kwek,Y. Li and S. Y. Shi,2003,Partial integrability for general nonlinear systems,Z. Angew Math. Phys. 54,26-47. 12. F. Z. Cong and Y. Li,2004,Effective stability for generalized Hamiltonian systems,Science in China Ser. A Mathematics,Vol. 47,675-686. 13. Y. C. Han and Y. Li,2005,Arnold’s theorem on properly degenerate systems with the Russmann nondegeneracy,Science in China Ser. A Mathematics,48,no. 12,1656-1669. 14. Y. Li and Y. F. Yi,2005,On Poincaré-Treshchev tori in Hamiltonian systems. EQUADIFF 2003,136--151,World Sci. Publ.,Hackensack,NJ,2005 15. Y. Li and Y. F. Yi,2005,Persistence of lower dimensional tori of general types in Hamiltonian systems,Trans. Amer. Math. Soc. 357,1565-1600. 16. Y. Li and Y. F. Yi,2005,Persistence of hyperbolic tori in Hamiltonian systems,J. Differential Equations,208,344-387. 17. Y. C. Han,Y. Li and Y. F. Yi,2006,Degenerate lower-dimensional tori in Hamiltonian systems,J. Differential Equations,227,670-691. 18. W. B. Liu and Y. Li,2006,Existence of 2pi-periodic solutions for the non-dissipative Duffing equation under asymptotic behaviors of potential function,Z. Angew. Math. Phys.,57 ,1-11. 19. S. G. Ji and Y. Li,2006,Periodic solutions to one-dimensional wave equation with x-dependent coefficients,J. Differential Equations,to appear. 20. Y. Li and Y. F. Yi,2006,Nekhoroshev and KAM stabilities in generalized Hamiltonian systems,Journal of Dynamics and Differential Equations,to appear. |