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书名 伍卓群教授论文选(精)
分类 科学技术-自然科学-数学
作者 伍卓群
出版社 吉林大学出版社
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简介
编辑推荐

伍卓群先生是建国以来为我国偏微分方程学科发展做出重要贡献的前辈之一。他在数学这块科学园地上不知疲倦地辛勤耕耘了五十余载,并取得了丰硕的研究成果。

本书收录了伍卓群先生不同时期的代表作40篇,所选论文均紧密联系着数学物理中提出的一些重要问题。内容可分成两部分:第一部分是“文革”前从事研究的“常微分方程定性理论和奇摄动理论”以及“拟线性双曲守恒律理论”;第二部分是“文革”后从事研究的“拟线性退化抛物方程理论”。

目录

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.

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.

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.

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.

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.

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.

7.常微分方程的奇摄动理论,数学进展,3(1962),224-254.

8.准线性双曲型方程组的Ca,uchy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.

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.

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).

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).

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),3549.

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.

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.

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)

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.

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.

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)

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)

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)

21.A free boundary problem for degenerate quasilinear parabolic equations,Non-

linear Anal.,9(9)(1985),937-951.

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.

23.拟线性退缩抛物方程,16(2)(1987),121-157.

24.Some properties of functions in BV~ and their applications to the uniqueness

of solutions for degenerate quasilinear parabolic equations,Northeast.Math.

J.,5(4)(1989),395-422.(with Yin Jingxue)

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)

26.Uniqueness of generalized solutions for a quasilinear degenerate parabolic sys-

tem,J.Partial Differential Equations,8(1)(1995),89-96.(with Yuan Hongjun)

27.Some properties of solutions for a nonlinear diffusion system.I,Northeast.

Math.J.,12(4)(1996),475-482.(with Yin Jingxue)

28.Some properties of solutions for a nonlinear diffusion system.II,Northeast.

Math.J.,13(1)(1997),95-106.(with Yin Jingxue)

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)

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)

31.Periodic solutions of nonlinear degenerate diffusion equations,Nonlinear partial

differential equations and applications (Chongqing,1997),85-90,World Sci.

Publ.,River Edge,N J,1998.(with Yin Jingxue and Wang Yifu)

32.Radial minimizers of a Ginzburg-Landau functional,Electron.J.Differential

Equations,30(1999),21 pp.(electronic) .(with Lei Yutian and Yuan Hongjun)

33.C1,a convergence of minimizers of a Ginzburg-Landau functional,Electron.J.

Differential Equations,14(2000),20 pp.(electronic) .(with Lei Yutian)

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)

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)

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)

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)

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)

39.Some results on a class of degenerate parabolic equations not in divergence

form,Nonlinear Anal.,60(5)(2005),863-886.(with Zhou Wenshu)

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)

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