期刊文献+

一类二阶常微分算子的特征值(英文)

On the Eigenvalues of a Class of Second Order Ordinary Differential Operators
下载PDF
导出
摘要 综合应用幂级数和数值方法,计算了一类二阶常微分算子的特征值和相应的特征函数. In this paper,we estimate the eigenvalues of a class of second order ordinary differential opera- tors using power series and numerical methods.
作者 刘勇 白蕴文
出处 《吉首大学学报(自然科学版)》 CAS 2016年第2期11-14,25,共5页 Journal of Jishou University(Natural Sciences Edition)
基金 National Natural Science Foundation of China(11101141) Fundamental Research Funds for the Central Universities(13MS39)
关键词 常微分算子 幂级数 数值方法 ordinary differential operator eigenvalue power series numerical methods
  • 相关文献

参考文献7

  • 1DEL PINO M,KOWALCZYK M,PACARD F. Multiple-End Solutions to the Allen-Cahn Equation in R^2 [J]. Journal of Functional Analysis, 2009,258 (2) :458 - 503. 被引量:1
  • 2KOWALCZYK M,LIU Y,WEI J. Singly Periodic Solutions of the Allen-Cahn Equation and the Toda Lattice[J]. Com- munications Partial Differential Equations,2015,40(2) :329 - 356. 被引量:1
  • 3ABLOWITZ M J, CLARKSON P A. Solitons, Nonlinear Evolution Equations and Inverse Scattering[M]///London Math- ematical Society Lecture Note Series. Cambridge:Cambridge University Press, 1991. 被引量:1
  • 4ALEXANDER J C,PEGO R L,SACHS R L. On the Transverse Instability of Solitary Waves in the Kadomtsev-Petvia- shvili Equation[J]. Physics Letters A, 1997,226(3/4):187 - 192. 被引量:1
  • 5BERRYMAN J G. Stability of Solitary Waves in Shallow Water[J]. Physics Fluids, 1976 (1) : 771 - 777. 被引量:1
  • 6WEIDMANN J. Spectral Theory of Ordinary Differential Operators[M]//BOLD A, ECKMANN B. Lecture Notes in Mathematics. Berlin : Springer- Verlag, 1987. 被引量:1
  • 7NIKIFOROV A F,UVAROV V B. Special Functions of Mathematical Physics[M]. Basel: Birkhauser Verlag, 1988. 被引量:1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部