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一类二阶奇摄动特征值问题

A Class of Second Order Singularly Perturbed Eigenvalue Problems
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摘要 将带有边界条件的二阶非齐次线性方程的可解性条件应用到特征值问题上,得出了奇摄动问题的解的渐近表示式. The author of this paper uses the conditions of solvability for non-homogeneous linear equation of second order with boundary conditions to the degenerate eigenvalue problem and obtains the asymptotic expansions of singular perturbation problem.
作者 王莉婕
出处 《湖州师范学院学报》 2006年第1期46-49,共4页 Journal of Huzhou University
基金 湖州师范学院科研基金资助项目(200302)
关键词 奇摄动 特征值 可解性条件 伴随方程 singular perturbation eigenvalue condition of solvability adjoint equation
  • 相关文献

参考文献8

  • 1Jager E M,Jiang Fu-ru.The Theory of Singular Perturbation[M].Amsterdam:North-Holland Publishing Co,1996.1~189.
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二级参考文献11

  • 1DE JAGER E M, JIANG F. The theory of singular perturbation[ M]. Amsterdam: North-Holland Publishing Co.1996.
  • 2KADALBAJOO M K, PATIDAR K C. Singularly perturbed problems in partial differential equations [J]. Appl Math Comput, 2003, 134:371-429.
  • 3TANIGUCHI M. Instability of planar traveling waves in bistable reaction-diffusion systems [ J ]. Discrete and Continuous Dynamical Systems, 2003, 3B (1): 21 - 44.
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  • 7[2]Kadalbajoo,M.K.and Patidar,K.C.Singularly perturbed problems in partial differential equations:a survey[J].Appl.Math.Comput.,2003,134:371~429.
  • 8[3]Taniguchi,M.Instability of planar traveling waves in bistable reaction-diffusion systems[J].Discrete and Continuous Dynamical Systems,2003,3B(1) :21~44.
  • 9[4]Kelley,W.G.A simgular perturbation problem of Camier and Pearson[J].J,Math.Anal.Appl.,2001,255:678~697.
  • 10[5]Hamouda,M.Interior layer for second-order singular equations[J].Applicable Anal.,2002,81:837~866.

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