《伍卓群教授论文选》PDF下载

  • 购买积分:19 如何计算积分?
  • 作  者:伍卓群著
  • 出 版 社:长春:吉林大学出版社
  • 出版年份:2010
  • ISBN:9787560155135
  • 页数:676 页
图书介绍:本文选收集了伍卓群教授历年来发表在中外数学杂志上的具有代表性的研究论文60余篇。出版该文选对推进我国微分议程理论与应用的研究工作有重要意义。

1.关于按第一近似决定稳定性的定理,东北人民大学自然科学学报,1(1956),1-29 1

2.论非线性振动微分方程解的稳定性,东北人民大学自然科学学报,2(1956),15-32 23

3.非线性振动微分方程极限圈的存在性,东北人民大学自然科学学报,2(1956),33-46 35

4.ЛЯПУНОВ稳定性理论与含小参数的微分方程,东北人民大学自然科学学报,1(1958),27-44 45

5.奇异地依赖于小参数的微分方程组的解的稳定性,吉林大学大学自然科学学报,2(1959),29-62 62

6.奇异地依赖于小参数的微分方程的边界值问题,吉林大学大学自然科学学报,2(1959),63-69 93

7.常微分方程的奇摄动理论,数学进展,3(1962),224-254 98

8.准线性双曲型方程组的Cauchy问题的广义解的唯一性,吉林大学大学自然科学学报,1(1962),11-26 132

9.一类常微分方程边值问题的奇摄动-(Ⅰ)方程式的情形,吉林大学大学自然科学学报,2(1963),91-104 148

10.一类常微分方程边值问题的奇摄动-(Ⅱ)特殊方程组的情形,吉林大学大学自然科学学报,2(1963),213-228(与陈铭俊,周钦德合作). 159

11.二自变量准线性双曲型方程组的若干定解问题解的存在与唯一性,吉林大学大学自然科学学报,2(1963),459-502(与王柔怀合作). 171

12.气体动力学方程组容许中心简单波的间断解的唯一性,4(1963),35-49 209

13.没有凸条件的一阶准线性方程的Cauchy问题的广义解的存在唯一性,数学学报,13(4)(1963),515-530 222

14.The ordinay differential equations with discontinuous right members and the discontinuous solutions of the quasilinear partial differential equations,Sci.Sinica,13(1964),1901-1917 239

15.Some results on quasilinear degenerate parabolic equations of second order,Proceedings of the 1980 Beijing Symposium on Differential Geometry and Dif-ferential Equations,Vol.1,2,3(Beijing,1980),1593-1609,Science Press,Beijing,1982.(with Wang Junyu) 256

16.半群理论在二阶拟线性退缩抛物方程的Cauchy问题上的应用,1(1981),43-56 267

17.A boundary value problem for quasilinear degenerate parabolic equations,MRC Technical Summary Report,2484.University of Wisconsin,Center for the Mathematical Sciences,Madison,WI,1983.i+15 pp 281

18.The first boundary value problem for quasilinear degenerate parabolic equa-tions of second order in several space variables.Chinese Ann.Math.Ser.B,4(1)(1983),57-76.(with Zhao Junning) 291

19.Some general results on the first boundary value problem for quasilinear de-generate parabolic equations,Chinese Ann.Math.Ser.B,4(3)(1983),319-328.(with Zhao Junning) 314

20.一类拟线性超抛物方程的整体解,数学学报,27(1)(1984),96-117.(with Zheng Sining) 325

21.A free boundary problem for degenerate quasilinear parabolic equations,Non-linear Anal.,9(9)(1985),937-951 347

22.Some problems on degenerate quasilinear parabolic equations,Nonlinear func-tional analysis and its applications,Part 2(Berkeley,Calif.,1983),565-572,Proc.Sympos.Pure Math.,45,Part 2,Amer.Math.Soc.,Providence,RI,1986 363

23.拟线性退缩抛物方程,数学进展,16(2)(1987),121-157 371

24.Some properties of functions in BVx and their applications to the uniqueness of solutions for degenerate quasilinear parabolic equations,Northeast.Math.J.,5(4)(1989),395-422.(with Yin Jingxue) 409

25.Uniqueness of solutions of the Cauchy problem for the system of dynamics of biological groups,Northeast.Math.J.,9(1)(1993),134-142.(with Yin Jingxue)&( 441

26.Uniqueness of generalized solutions for a quasilinear degenerate parabolic sys-tem,J.Partial Differential Equations,8(1)(1995),89-96.(with Yuan Hongjun)&( 451

27.Some properties of solutions for a nonlinear diffusion system.Ⅰ,Northeast.Math.J.,12(4)(1996),475-482.(with Yin Jingxue)&( 459

28.Some properties of solutions for a nonlinear diffusion system.Ⅱ,Northeast.Math.J.,13(1)(1997),95-106.(with Yin Jingxue) 467

29.Some properties of solutions for a system of dynamics of biological groups,Comm.Partial Differential Equations,22(9-10)(1997),1389-1403.(with Yuan Hongjun and Yin Jingxue) 480

30.Periodic solutions of evolution p-Laplacian equations with nonlinear sources,J.Math.Anal.Appl.,219(1)(1998),76-96.(with Wang Yifu and Yin Jingxue) 493

31.Periodic solutions of nonlinear degenerate diffusion equations,Nonlinear partial differential equations and applications(Chongqing,1997),85-90,World Sci.Publ.,River Edge,NJ,1998.(with Yin Jingxue and Wang Yifu) 509

32.Radial minimizers of a Ginzburg-Landau functional,Electron.J.Differential Equations,30(1999),21 pp.(electronic).(with Lei Yutian and Yuan Hongjun) 514

33.C1,α convergence of minimizers of a Ginzburg-Landau functional,Electron.J.Differential Equations,14(2000),20 pp.(electronic).(with Lei Yutian) 534

34.Optimal control of growth rate for a class of population systems,J.Syst.Sci.Complex.,16(1)(2003),53-66.(with Yin Jingxue and Gao Hang) 552

35.The Cauchy problem for a class of coupled systems containing a convolution operator,J.Partial Differential Equations,16(3)(2003),223-239.(with Yang Chengrong) 567

36.Uniqueness of BV entropy solutions for high dimensional quasilinear parabolic equations with arbitrary degeneracy,Commun.Math.Sci.,1(4)(2003),697-714.(with Yin Jingxue and Lei Peidong) 584

37.The asymptotic property of solutions to a class of integrodifferential equations,Northeast.Math.J.,20(1)(2004),109-126.(with Yang Chengrong and Yuan Hongjun) 603

38.Boundary value problem for a class of degenerate quasilinear parabolic equa-tions with singularity,J.Math.Anal.Appl.,296(1)(2004),209-225.(with Lei Peidong and Yin Jingxue) 623

39.Some results on a class of degenerate parabolic equations not in divergence form,Nonlinear Anal.,60(5)(2005),863-886.(with Zhou Wenshu) 638

40.Existence and nonuniqueness of weak solutions for a degenerate diffusion equa-tion,J.Partial Differential Equations,18(3)(2005),267-286.(with Zhou Wen-shu) 659