Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (3): 447-453.

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The C1  Solutions of a Class of a Non-extended Iterative Equation

  

  • Received:2012-11-05 Online:2013-09-30 Published:2023-02-24
  • About author:LIANG Ying(1972-), female, native of Anshun, Guizhou, a lecturer of Zhanjiang Normal University, M.S.D., engages in difference and functional equations; MI Yu-zhen(1967-), female, native of Zhangjiakou, Hebei, an associate professor of Zhanjiang Normal University, M.S.D., engages in difference and functional equations; LIN Xue-mei(1989-), female, native of Yangjiang, Guangdong, a master graduate of 2012 grade of South China Agricultural University, engages in the functional equation analysis.
  • Supported by:
    Supported by the PhD Start-up Fund of the Natural Science Foundation of Guangdong Province(S2011040000464); Supported by the Project of Department of Education of Guangdong Province(2012KJCX0074); Supported by the Natural Science Funds of Zhanjiang Normal University(QL1002,LZL1101);Supported by and the Doctoral Project of Zhanjiang Normal University(ZL1109)

Abstract: By using the Schauder’s fixed point theorem, the existence, uniqueness and stability of the C1 solutions of a class non-extended iterative equation are discussed.

Key words: non-extended iterative equation, fixed point theorem, existence, uniqueness, stability

CLC Number: