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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (8): 1027-1032.doi: https://doi.org/10.1007/s10483-010-1338-z

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A class of boundary value problems for third-order differential equation with a turning point

MO Jia-Qi1,2, WEN Zhao-Hui3   

  1. 1. Department of Mathematics, Anhui Normal University, Wuhu 241000, Anhui Province, P. R. China;
    2. Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, P. R. China;
    3. Institute of Applied Mathematics, School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030, Anhui Province, P. R. China
  • Received:2010-01-07 Revised:2010-07-02 Online:2010-07-23 Published:2010-08-01

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Abstract: A class of boundary value problems for a third-order differential equation with a turning point is considered. Using the method of multiple scales and others, the uniformly valid asymptotic expansion of solution for the boundary value problem is constructed.

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