中国科学院数学研究所,北京,100080
纸质出版:2001
移动端阅览
[1]余澍祥.Conley的不变集理论的某些应用[J].新疆大学学报(理工版),2001(02):136-140+158.
余澍祥. Conley的不变集理论的某些应用[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2001, (2).
介绍了 Conley不变集理论 [1] 在微分方程定性理论研究中的一些应用成果 .问题包括含参数微分方程的连结轨线的存在性和有界解的分支等
In this paper
some applications of theory of Conley′s invariant set in the qualitative theory of ordinary differential equations are introdued. The problems considered in this paper include the existence of orbits connecting critical points and the bifurcations of bounded solutions.
Conley C.Isolated Invariant Sets and the Morse Index ( Conf Board Math Sci,Vol.38) .Providence ( RI) [M].Amer Math Soc,1978.
[2 ]Kulikovskii A G.The Structure of Shock Waves[J].PMM,1962 ,2 6:631- 641.
Smoller J A,Conley C C.Shock Waves as L imits of Progressive Wave Solutions of Higher orderEquations,II[J].Comm.Pure Appl Math,1972 ,2 5:133- 146.
[4 ]Gordon P.Paths Connecting Elementary Critical Points of Dynamical Systems[J].SIAM JAppl Math,1974 ,2 6:35- 10 2 .
Conley C,Easton R.Isolated Invariant Sets and Isolating Blocks[J].Trans Amer Math Soc,1971,158:35- 61.
Hartman P.Ordinary Differential Equations[M].Boston:Birkhauser,1982 .
Andronov A A,et al.Qualitative Theory of Second- Order Dynamic Systems[M].New York:Wiley,1973.
Yu Shu- xiang.The Existence of Trajectories Joining Critical Points[J].JDifferential Equations,1987,66:2 30 - 2 4 2 .
余澍祥 .孤立块理论在平面定性中的应用 [J],数学年刊 .1990 ,11A( 5) :595- 599.
[10 ]Yu Shu- xiang.Some Properties of Isolating Blocks for Planar Systems[J].Nagoya Math J,1999,154:10 3- 110 .
Smoller J.Shock Waves and Roaction- Diffusion Equations[M].New York:Springer- Verlag,1983.
[12 ]Yu Shu- xiang.Trajectories Connecting Critical Points[J].Scientia Iranica,1995,1( 4 ) :315- 32 0 .
Izydorek M,Rybicki S.Bifurcations of Bounded Solutions of1- parameter ODE′s[J].JDifferentialEquations,1996,130 :2 67- 2 76.
0
浏览量
83
下载量
0
CSCD
关联资源
相关文章
相关作者
相关机构
京公网安备11010802024621
