一类非扩张型迭代方程的连续可微解

数学季刊 ›› 2013, Vol. 28 ›› Issue (3): 447-453.

一类非扩张型迭代方程的连续可微解

Department of Mathematics, Zhanjiang Normal University

收稿日期:2012-11-05 出版日期:2013-09-30 发布日期:2023-02-24
作者简介: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.
基金资助:
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)

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)

摘要/Abstract

摘要： 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.

关键词: non-extended iterative equation, fixed point theorem, existence, uniqueness, stability

Abstract: By using the Schauder’s fixed point theorem, the existence, uniqueness and stability of the C¹solutions of a class non-extended iterative equation are discussed.

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

中图分类号:

O175.7

梁英, 米玉珍, 林雪梅. 一类非扩张型迭代方程的连续可微解[J]. 数学季刊, 2013, 28(3): 447-453.

LIANG Ying, MI Yu-zhen, LIN Xue-mei. The C¹ Solutions of a Class of a Non-extended Iterative Equation[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(3): 447-453.

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