Journal of East China Normal University(Natural Sc ›› 2008, Vol. 2008 ›› Issue (3): 21-29,3.

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Boundary value problem of a class of third order differential equations(Chinese)

XU Jie1,2, CHEN Li-hua3, Ni Ming-kang1,2   

  1. 1. Department of Mathematics, East China Normal University, Shanghai 200062, China 2. SJTU Section, Computational Science Division, E-Institute of Shanghai Universities, Shanghai 200030, China 3. Fuqing Branch of Fujian Normal University, Fuzhou 350300, China
  • Received:2007-06-04 Revised:2007-10-23 Online:2008-05-25 Published:2008-05-25

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Abstract: This paper, using the method of boundary functions, studied boundary value problem of a class of singularly perturbed third order differential equations. At the same time the asymptotice solution of the problem was given and the uniform validity of its asymptotic solution was proved in a rigorous way.

Key words: asymptotic expansion, boundary layer function, unchange manifold, singular perturbation, asymptotic expansion, boundary layer function, unchange manifold

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