期刊文献+

SOLVABILITY OF SOME SINGULARLY PERTURBED SEMI-LINEAR DIFFERENTIAL SYSTEM

SOLVABILITY OF SOME SINGULARLY PERTURBED SEMI-LINEAR DIFFERENTIAL SYSTEM
原文传递
导出
摘要 In this paper, we consider the solvability for a singularly perturbed Robin problem of semi-linear differential system. Using the boundary layer corrective method, the formal asymptotic solution is constructed. Finally, the uniform validity of such asymptotic expansions solution is proved. In this paper, we consider the solvability for a singularly perturbed Robin problem of semi-linear differential system. Using the boundary layer corrective method, the formal asymptotic solution is constructed. Finally, the uniform validity of such asymptotic expansions solution is proved.
出处 《Annals of Differential Equations》 2008年第4期407-412,共6页 微分方程年刊(英文版)
基金 supported by the National Natural Science Foundation of China (40676016) the National Key Project for Basics Research (2003CB415101-03 and 2004CB418304) the Key Projectof the Chinese Academy of Sciences (KZCX3-SW-221) in part by E-Institutes of Shanghai Municipal Education Commission (N.E03004) the National Science Foundation from the Education Bureau of Anhui Province (KJ2007A013).
关键词 SOLVABILITY singular perturbation differential system boundary layer solvability singular perturbation differential system boundary layer
  • 相关文献

参考文献10

  • 1de,Jager,E. M.,Jiang,Furu. The Theory of Singular Perturbation . 1996
  • 2Adams K L,King J R,Tew R H.Beyond-all-orders effects in multiple-scales sympto- tic:Travelling-wave solutions to the Kuramoto-Sivashinsky equation[].Journal of Engineering Mathematics.2003
  • 3Akhmetov,D. R.,Jr,Lavrentievm,M. M.,Spigler,R.Singular perturbations for certain partial differential equations without boundary-layers[].Asymptotic Analysis.2003
  • 4Bell,D C,Deng,B.Singular perturbation of N-front traveling waves in the Fitzhugh-Nagumo equations[].Nonlinear Analysis Real World Applications.2003
  • 5Hwangm,S.Kinetic decomposition for singularly perturbed higher order partial differential equations[].Journal of Differential Equations.2004
  • 6Fu Zhang.Coexistence of a pulse and multiple spikes and transition layers in the standing waves of a reaction–diffusion system[].Journal of Differential Equations.2004
  • 7Ammari,H.,Kang,H.,Touibi,K.Boundary layer techniques for deriving the effective properties of composite materials[].Asymptotic Analysis.2005
  • 8Khasminskii,R. Z.,Yin,G.Limit behavior of two-time-scale diffusion revisited[].Journal of Differential Equations.2005
  • 9Marques,I.Existence and asymptotic behavior of solutions for a class of nonlinear elliptic equations with Neumann condition[].Nonlinear Analysis.2005
  • 10Jiaqi,Mo.A singularly perturbed nonlinear boundary value problem[].Journal of Mathematical Analysis and Applications.1993

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