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

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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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Authors and Affiliations

  1. Department of Mathematics, Anhui Normal University, Wuhu, 241000, Anhui Province, P. R. China

    Jia-qi Mo  (莫嘉琪)

  2. Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai, 200240, P. R. China

    Jia-qi Mo  (莫嘉琪)

  3. Institute of Applied Mathematics, School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, 233030, Anhui Province, P. R. China

    Zhao-hui Wen  (温朝晖)

Authors
  1. Jia-qi Mo  (莫嘉琪)
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  2. Zhao-hui Wen  (温朝晖)
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Corresponding author

Correspondence to Jia-qi Mo  (莫嘉琪).

Additional information

Communicated by Xing-ming GUO

Project supported by the National Natural Science Foundation of China (No. 40876010), the Main Direction Program of the Knowledge Innovation Project of Chinese Academy of Sciences (No. KZCX2-YW-Q03-08), the Research and Development Special Fund for Public Welfare Industry (meteorology) (No. GYHY200806010), the LASG State Key Laboratory Special Fund, the Foundation of EInstitutes of Shanghai Municipal Education Commission (No. E03004), and the Natural Science Foundation of Zhejiang Province (No. Y6090164)

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Mo, Jq., Wen, Zh. A class of boundary value problems for third-order differential equation with a turning point. Appl. Math. Mech.-Engl. Ed. 31, 1027–1032 (2010). https://doi.org/10.1007/s10483-010-1338-z

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  • DOI: https://doi.org/10.1007/s10483-010-1338-z

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

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