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Hartman–Grobman Theorem for the Impulsive System with Unbounded Nonlinear Term

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Abstract

Since 1960, classical Hartman–Grobman theorem is extensively studied in different directions. However, none of the work focused on the systems with unbounded nonlinear terms. This paper gave a version of Hartman–Grobman theorem for the autonomous impulsive system when the nonlinear term is unbounded.

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Authors and Affiliations

  1. School of Mathematical Sciences, Huaqiao University, Quanzhou, 362021, Fujian, China

    Yonghui Xia

  2. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, China

    Yonghui Xia & Hai Huang

  3. Department of Mathematics, Faculty of Science and Technology, University of Macau, Taipa, Macau

    Kit Ian Kou

Authors
  1. Yonghui Xia
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  2. Hai Huang
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  3. Kit Ian Kou
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Corresponding author

Correspondence to Yonghui Xia.

Additional information

Yonghui Xia was supported by the National Natural Science Foundation of China under Grants (No. 11671176 and No. 11271333), Natural Science Foundation of Zhejiang Province under Grant (LY15A010007), the Scientific Research Funds of Huaqiao University and China Postdoctoral Science Foundation (No. 2014M562320). Kit Ian Kou acknowledges financial support from the National Natural Science Foundation of China under Grant (No. 11401606), University of Macau (No. MYRG2015-00058-FST) and the Macao Science and Technology Development Fund (No. FDCT/099/2012/A3 and No. FDCT/031/2016/A1).

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Xia, Y., Huang, H. & Kou, K.I. Hartman–Grobman Theorem for the Impulsive System with Unbounded Nonlinear Term. Qual. Theory Dyn. Syst. 16, 705–730 (2017). https://doi.org/10.1007/s12346-016-0218-8

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  • DOI: https://doi.org/10.1007/s12346-016-0218-8

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