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Initial Value Problem Method for Diffeomorphism and Its Applications

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Abstract

A set of sufficient conditions related to a class of initial value problems are given for the global diffeomorphism of a nonlinear mapping F. In addition, the results obtained are used to discuss the existence and uniqueness of solution for the boundary value problems.

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Acknowledgements

Thank the editor and reviewers very much for their very careful reviews and valuable suggestions, and Prof. Zuhe Shen (Department of Mathematics, Nanjing University, China) for his patience guidance. This work is supported by the National Natural Science Foundation of China (11526071) and the Key Projects of Natural Science Research in Anhui Universities(KJ2015A253).

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Authors and Affiliations

  1. Department of Mathematics and Physics, Hefei University, 99#Jinxiudadao Road, Hefei, 230601, Anhui, P.R. China

    Xin Niu

  2. Department of Mathematics, Nanjing University, 22# Hankou Rd., Gulou District, Nanjing, 210093, Jiangsu, P.R. China

    Zhenghua Jiang

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  1. Xin Niu
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  2. Zhenghua Jiang
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Correspondence to Xin Niu.

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Niu, X., Jiang, Z. Initial Value Problem Method for Diffeomorphism and Its Applications. Qual. Theory Dyn. Syst. 17, 81–90 (2018). https://doi.org/10.1007/s12346-017-0255-y

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  • DOI: https://doi.org/10.1007/s12346-017-0255-y

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